Hypothesis Testing

Project3.xlsx

Week 3

Age	Gender			For the following questions, use only the "age" column:
19	M
19	M		Points	Age Frequency Distribution:				Class Width	9
21	F
24	M			Class Limits		Midpoint	Freq.	Relative Frequency	Cumulative Relative Freq
19	F			Low	High
19	M	Limits	1	18	27	22.4	23	0.8214	0.8214	Midpoint	Freq
19	F	Freq.	1	27	36	31.3	1	0.0357	0.8571	0	0
44	F	Mid.	1	36	45	40.3	3	0.1071	0.9643	22.4	23
19	F	RF	1	45	54	49.3	0	0.0000	0.9643	31.3	1
20	M	CF	1	54	63	58.3	1	0.0357	1.0000	40.3	3
22	M									49.3	0
19	F		2	Mean	24.11	*Round to two decimals				58.3	1
35	F		2	Median	20.0	*Round to one decimal				67.3	0
21	F		2	Sample Standard deviation:			10.39	*Round to two decimals
21	F		2	Q1	19.0	*Round to one decimal
19	F		2	Q3	21.8	*Round to one decimal
19	F
19	M
43	M	Ogive:	5			Ogive:					Polygon:
19	F	Polygon	5
19	F
20	F
18	F
36	F	Total:	25
20	F
20	M
62	M
20	F

Ogive

26.8 35.799999999999997 44.8 53.8 62.8 0.8214285714285714 0.8571428571428571 0.96428571428571419 0.96428571428571419 0.99999999999999989

Upper Limits

Cummulative Relative Frequency

Frequency Polygon

Freq 0 22.4 31.299999999999997 40.299999999999997 49.3 58.3 67.3 0 23 1 3 0 1 0

Age

Frequency

Age	Gender	Points	95% Confidence Interval for Average Age of Online College Students:
19	M
19	M		Sample Mean:		24.1071428571
21	F		Sample St. Dev:		10.3935139522					Normal Distribution
24	M	1	Sample Size:		28					T-Distribution
19	F
19	M	2	Distribution:		T-Distribution
19	F
44	F	2	Critical Value:		2.05	*2 decimals
19	F
20	M	2	Margin of Error:		4.03	*2 decimals	Calculation:	4.03
22	M	1	Lower Bound:		20.08	*2 decimals	Calculation:	20.08
19	F	1	Upper Bound:		28.14	*2 decimals	Calculation:	28.14
35	F
21	F		Interpret	We are 95% Confident that true mean age of all online college students lies between (20.08 yrs, 28.14 yrs)
21	F	2
19	F
19	F		95% Confidence Interval for Proportion of Male Online College Students:
19	M
43	M	1	Sample Size:		28
19	F	1	Number of Males:		10
19	F	2	Male Proportion:		0.3571	Female Proportion		0.6429	*4 decimals
20	F
18	F	2	Distribution:		Normal Distribution
36	F
20	F	2	Critical Value:		1.96	*2 decimals
20	M
62	M	2	Margin of Error:		0.1775	*4 decimals	Calculation:	0.1775
20	F	1	Lower Bound:		0.1797	*4 decimals	Calculation:	0.1797
		1	Upper Bound:		0.5346	*4 decimals	Calculation:	0.5346

			Interpret	We are 95% Confident that Proportion of males in the population of all online college students lies between (0.1797, 0.5346)
		2
		25	Total Points

For the following two hypothesis tests, use the alpha = .05 level of confidence

Points

Claim: The average age of online students is 32 years old.

Ho:

Normal Distribution

Ha:

T-Distribution

Sample mean:

24.1071428571

Sample St. Dev:

10.3935139522

Distribution:

Test Statistic:

*2 decimals

Calculation:

p-value:

*4 decimals

Interpretation:

Claim: The proportion of males in online classes is 35%

Ho:

Ha:

Sample Proportion Males

0.3571428571

Sample Proportion Females

0.6428571429