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10.09.2024
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Disc1.docx
cf_Week_9_Data-Set_HR_rev.xlsx
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Disc1.docx

Title

Student name

Faculty name

Due date

Question 1

Minimum: 2.71

Maximum: 4.25

Question 2 Quartile 1: 3.435

Quartile 2: 3.59

Quartile 3: 3.84 Question 3 Sample mean: 3.58

Median: 3.5900 Standard deviation: 0.310135 Question 4

Confidence Interval Lower Limit: 3.46653

Confidence Interval Upper Limit: 3.6981 Question 5 Null hypothesis: H0: µ=3.5 Alternative hypothesis: H0: µ>3.5

Test statistic: Z

Question 6

Test statistics: 1.45407

Critical value: 1.69913

P-Value: 0.07833

Question 7

Conclusion: no

cf_Week_9_Data-Set_HR_rev.xlsx

            Calculator

                        Sample Number	
                        Performance Review Score	
                        	
                        Minimum	
                        2.71
                    
                        1	
                        3.86	
                        	
                        Maximum 	
                        4.25
                    
                        2	
                        3.22	
                        	
                        Q 1	
                        3.435
                    
                        3	
                        3.87	
                        	
                        Q 2	
                        3.59
                    
                        4	
                        4.25	
                        	
                        Q 3 	
                        3.84
                    
                        5	
                        3.48
                    
                        6	
                        3.62
                    
                        7	
                        3.78
                    
                        8	
                        3.21
                    
                        9	
                        3.28
                    
                        10	
                        3.88
                    
                        11	
                        2.71
                    
                        12	
                        3.7
                    
                        13	
                        3.51
                    
                        14	
                        3.54	
                        	
                        Student should Use t-test
                    
                        15	
                        3.29	
                        	
                        Mean	
                        3.58
                    
                        16	
                        3.45	
                        	
                        Median	
                        3.5900
                    
                        17	
                        3.18	
                        	
                        Sample Standard Deviation 	
                        0.310135
                    
                        18	
                        3.48	
                        	
                        n=	
                        30
                    
                        19	
                        3.95	
                        	
                        df=	
                        29
                    
                        20	
                        3.93	
                        	
                        Confidence Level=	
                        0.95
                    
                        21	
                        3.59	
                        	
                        t=	
                        2.045
                    
                        22	
                        3.92	
                        	
                        E=	
                        0.115806
                    
                        23	
                        3.94	
                        	
                        Confidence Interval Lower Limit	
                        3.46653
                    
                        24	
                        3.59	
                        	
                        Confidence Interval Upper Limit	
                        3.6981
                    
                        25	
                        3.48	
                        	
                        Null Hypothesis 	
                        µ=3.5
                    
                        26	
                        3.33	
                        	
                        Alternative Hypothesis 	
                        µ>3.5
                    
                        27	
                        3.7	
                        	
                        What type of Test Statistic did you use and why?	
                        	
                        Hint: We use a t-test if the population standard deviation is unknown and we use a z-test if the population standard deviation is known.
                    
                        28	
                        3.43
                    
                        29	
                        3.71
                    
                        30	
                        3.59
                    
                        Conclusion: Is the claim supported? Why or why not?	
                        	
                        Hint: If the p-value is greater than the significance level, we fail to reject the null so there is not enough evidence to reject the hypothesis; we cannot support this claim. If the p-value is less than the significance level, we reject the null hypothesis so we can support this claim. 
                    
                        If student uses z-test; provide feedback and grade for content. 
                    
                        Hypothesis Test
                    
                        Null Hyp:	
                        m	
                        =	
                        3.5
                    
                        =	
                        	
                        Alt Hyp:	
                        m	
                        >	
                        3.5
                    
                        ≥
                    
                        ≤	
                        	
                        significance level = 	
                        0.05
                    
                        ≠	
                        	
                        test statistic = 	
                        1.45407
                    
                        <	
                        	
                        critical value = 	
                        1.69913
                    
                        >	
                        	
                        p-value =	
                        0.07833
                    
                        Since 	
                        0.0783326882	
                        >	
                        0.05	
                        we 	
                        fail to reject	
                        the null:	
                        m	
                        =	
                        3.5

Disc1.docx

Title

Student name

Faculty name

Due date

Question 1

Minimum: 2.71

Maximum: 4.25

Question 2 Quartile 1: 3.435

Quartile 2: 3.59

Quartile 3: 3.84 Question 3 Sample mean: 3.58

Median: 3.5900 Standard deviation: 0.310135 Question 4

Confidence Interval Lower Limit: 3.46653

Confidence Interval Upper Limit: 3.6981 Question 5 Null hypothesis: H0: µ=3.5 Alternative hypothesis: H0: µ>3.5

Test statistic: Z

Question 6

Test statistics: 1.45407

Critical value: 1.69913

P-Value: 0.07833

Question 7

Conclusion: no

cf_Week_9_Data-Set_HR_rev.xlsx

            Calculator

                        Sample Number	
                        Performance Review Score	
                        	
                        Minimum	
                        2.71
                    
                        1	
                        3.86	
                        	
                        Maximum 	
                        4.25
                    
                        2	
                        3.22	
                        	
                        Q 1	
                        3.435
                    
                        3	
                        3.87	
                        	
                        Q 2	
                        3.59
                    
                        4	
                        4.25	
                        	
                        Q 3 	
                        3.84
                    
                        5	
                        3.48
                    
                        6	
                        3.62
                    
                        7	
                        3.78
                    
                        8	
                        3.21
                    
                        9	
                        3.28
                    
                        10	
                        3.88
                    
                        11	
                        2.71
                    
                        12	
                        3.7
                    
                        13	
                        3.51
                    
                        14	
                        3.54	
                        	
                        Student should Use t-test
                    
                        15	
                        3.29	
                        	
                        Mean	
                        3.58
                    
                        16	
                        3.45	
                        	
                        Median	
                        3.5900
                    
                        17	
                        3.18	
                        	
                        Sample Standard Deviation 	
                        0.310135
                    
                        18	
                        3.48	
                        	
                        n=	
                        30
                    
                        19	
                        3.95	
                        	
                        df=	
                        29
                    
                        20	
                        3.93	
                        	
                        Confidence Level=	
                        0.95
                    
                        21	
                        3.59	
                        	
                        t=	
                        2.045
                    
                        22	
                        3.92	
                        	
                        E=	
                        0.115806
                    
                        23	
                        3.94	
                        	
                        Confidence Interval Lower Limit	
                        3.46653
                    
                        24	
                        3.59	
                        	
                        Confidence Interval Upper Limit	
                        3.6981
                    
                        25	
                        3.48	
                        	
                        Null Hypothesis 	
                        µ=3.5
                    
                        26	
                        3.33	
                        	
                        Alternative Hypothesis 	
                        µ>3.5
                    
                        27	
                        3.7	
                        	
                        What type of Test Statistic did you use and why?	
                        	
                        Hint: We use a t-test if the population standard deviation is unknown and we use a z-test if the population standard deviation is known.
                    
                        28	
                        3.43
                    
                        29	
                        3.71
                    
                        30	
                        3.59
                    
                        Conclusion: Is the claim supported? Why or why not?	
                        	
                        Hint: If the p-value is greater than the significance level, we fail to reject the null so there is not enough evidence to reject the hypothesis; we cannot support this claim. If the p-value is less than the significance level, we reject the null hypothesis so we can support this claim. 
                    
                        If student uses z-test; provide feedback and grade for content. 
                    
                        Hypothesis Test
                    
                        Null Hyp:	
                        m	
                        =	
                        3.5
                    
                        =	
                        	
                        Alt Hyp:	
                        m	
                        >	
                        3.5
                    
                        ≥
                    
                        ≤	
                        	
                        significance level = 	
                        0.05
                    
                        ≠	
                        	
                        test statistic = 	
                        1.45407
                    
                        <	
                        	
                        critical value = 	
                        1.69913
                    
                        >	
                        	
                        p-value =	
                        0.07833
                    
                        Since 	
                        0.0783326882	
                        >	
                        0.05	
                        we 	
                        fail to reject	
                        the null:	
                        m	
                        =	
                        3.5

Disc1.docx

Title

Student name

Faculty name

Due date

Question 1

Minimum: 2.71

Maximum: 4.25

Question 2 Quartile 1: 3.435

Quartile 2: 3.59

Quartile 3: 3.84 Question 3 Sample mean: 3.58

Median: 3.5900 Standard deviation: 0.310135 Question 4

Confidence Interval Lower Limit: 3.46653

Confidence Interval Upper Limit: 3.6981 Question 5 Null hypothesis: H0: µ=3.5 Alternative hypothesis: H0: µ>3.5

Test statistic: Z

Question 6

Test statistics: 1.45407

Critical value: 1.69913

P-Value: 0.07833

Question 7

Conclusion: no

cf_Week_9_Data-Set_HR_rev.xlsx

            Calculator

                        Sample Number	
                        Performance Review Score	
                        	
                        Minimum	
                        2.71
                    
                        1	
                        3.86	
                        	
                        Maximum 	
                        4.25
                    
                        2	
                        3.22	
                        	
                        Q 1	
                        3.435
                    
                        3	
                        3.87	
                        	
                        Q 2	
                        3.59
                    
                        4	
                        4.25	
                        	
                        Q 3 	
                        3.84
                    
                        5	
                        3.48
                    
                        6	
                        3.62
                    
                        7	
                        3.78
                    
                        8	
                        3.21
                    
                        9	
                        3.28
                    
                        10	
                        3.88
                    
                        11	
                        2.71
                    
                        12	
                        3.7
                    
                        13	
                        3.51
                    
                        14	
                        3.54	
                        	
                        Student should Use t-test
                    
                        15	
                        3.29	
                        	
                        Mean	
                        3.58
                    
                        16	
                        3.45	
                        	
                        Median	
                        3.5900
                    
                        17	
                        3.18	
                        	
                        Sample Standard Deviation 	
                        0.310135
                    
                        18	
                        3.48	
                        	
                        n=	
                        30
                    
                        19	
                        3.95	
                        	
                        df=	
                        29
                    
                        20	
                        3.93	
                        	
                        Confidence Level=	
                        0.95
                    
                        21	
                        3.59	
                        	
                        t=	
                        2.045
                    
                        22	
                        3.92	
                        	
                        E=	
                        0.115806
                    
                        23	
                        3.94	
                        	
                        Confidence Interval Lower Limit	
                        3.46653
                    
                        24	
                        3.59	
                        	
                        Confidence Interval Upper Limit	
                        3.6981
                    
                        25	
                        3.48	
                        	
                        Null Hypothesis 	
                        µ=3.5
                    
                        26	
                        3.33	
                        	
                        Alternative Hypothesis 	
                        µ>3.5
                    
                        27	
                        3.7	
                        	
                        What type of Test Statistic did you use and why?	
                        	
                        Hint: We use a t-test if the population standard deviation is unknown and we use a z-test if the population standard deviation is known.
                    
                        28	
                        3.43
                    
                        29	
                        3.71
                    
                        30	
                        3.59
                    
                        Conclusion: Is the claim supported? Why or why not?	
                        	
                        Hint: If the p-value is greater than the significance level, we fail to reject the null so there is not enough evidence to reject the hypothesis; we cannot support this claim. If the p-value is less than the significance level, we reject the null hypothesis so we can support this claim. 
                    
                        If student uses z-test; provide feedback and grade for content. 
                    
                        Hypothesis Test
                    
                        Null Hyp:	
                        m	
                        =	
                        3.5
                    
                        =	
                        	
                        Alt Hyp:	
                        m	
                        >	
                        3.5
                    
                        ≥
                    
                        ≤	
                        	
                        significance level = 	
                        0.05
                    
                        ≠	
                        	
                        test statistic = 	
                        1.45407
                    
                        <	
                        	
                        critical value = 	
                        1.69913
                    
                        >	
                        	
                        p-value =	
                        0.07833
                    
                        Since 	
                        0.0783326882	
                        >	
                        0.05	
                        we 	
                        fail to reject	
                        the null:	
                        m	
                        =	
                        3.5

other Questions(10)

Sample Number	Performance Review Score		Minimum	2.71
1	3.86		Maximum	4.25
2	3.22		Q 1	3.435
3	3.87		Q 2	3.59
4	4.25		Q 3	3.84
5	3.48
6	3.62
7	3.78
8	3.21
9	3.28
10	3.88
11	2.71
12	3.7
13	3.51
14	3.54		Student should Use t-test
15	3.29		Mean	3.58
16	3.45		Median	3.5900
17	3.18		Sample Standard Deviation	0.310135
18	3.48		n=	30
19	3.95		df=	29
20	3.93		Confidence Level=	0.95
21	3.59		t=	2.045
22	3.92		E=	0.115806
23	3.94		Confidence Interval Lower Limit	3.46653
24	3.59		Confidence Interval Upper Limit	3.6981
25	3.48		Null Hypothesis	µ=3.5
26	3.33		Alternative Hypothesis	µ>3.5
27	3.7		What type of Test Statistic did you use and why?		Hint: We use a t-test if the population standard deviation is unknown and we use a z-test if the population standard deviation is known.
28	3.43
29	3.71
30	3.59
			Conclusion: Is the claim supported? Why or why not?		Hint: If the p-value is greater than the significance level, we fail to reject the null so there is not enough evidence to reject the hypothesis; we cannot support this claim. If the p-value is less than the significance level, we reject the null hypothesis so we can support this claim.
			If student uses z-test; provide feedback and grade for content.
		Hypothesis Test
		Null Hyp:	m	=	3.5
=		Alt Hyp:	m	>	3.5
≥
≤			significance level =	0.05
≠			test statistic =	1.45407
<			critical value =	1.69913
>			p-value =	0.07833
		Since	0.0783326882	>	0.05	we	fail to reject	the null:	m	=	3.5