scenario/summary

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6.Week_6_ConfidenceIntrvals_MATH225N1.xlsx

Confidence Interval

Put values in GREEN cells; output or answers in YELLOW cells
Enter input in blue cells ; Look for answers in yellow cells
t or z Confidence Interval for µ Confidence Interval for p Proportions
Confidence Level 0.990 Enter decimal Confidence Level 0.950 Enter decimal
n 27 n 329
Mean 17.3185 Number of Successes 141
StDev 3.4029
pop stdev no Enter yes if population stdev known
Enter No if population stdev is unknown
SE 0.654888 Sample Proportion 0.428571
t 2.779 SE 0.027283
Margin of Error 1.819935 z 1.960
Lower Limit 15.498565 Margin of Error 0.053475
Upper Limit 19.138435 Lower Limit 0.375096
Upper Limit 0.482046

sample mean & standard deviatio

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Enter values starting from B5 cell
Data
18.4 Mean 17.3185
16.1 Sample Standard Deviation 3.4029
19.5
16.5
12.5
17.2
13.8
17.9
19.1
9.8
23.8
18.7
19.1
15
19.2
17
11.5
15.7
22.5
23.7
19.9
17.6
15
17.8
20.7
14.2
15.4

Minimum Sample Size

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Minimum Sample Size μ for population mean Minimum Sample Size p for Proportion
Confidence Level 0.950 Enter decimal Confidence Level 0.920 Enter decimal
StDev 10 Sample Proportion 0.5 If sample proportion unknown enter 0.5
Error 3 Error 0.03 Write percentage as decimal
z-Value 1.960 z-Value 1.751
Minimum Sample Size 43 Minimum Sample Size 852

EMPIRICAL RULE

Empirical Rule using standard error for CONFIDENCE INTERVAL
ANSWER
Empirical Rule 68-95-99.7
mean 0.43 Lower number Upper number
standard deviation 0 68% 0.37 0.49
Standard error 0.06 95% 0.31 0.55
99.70% 0.25 0.61