Statistic HW

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week10_project.xls
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Data & Q1

Num. of soda samples
14.50 Num. of soda samples
14.60
14.70 Mean 14.87
14.80 Standard Error 0.10
14.90 Median 14.80
15.30 Mode 14.80
14.90 Standard Deviation 0.55
15.50 Sample Variance 0.30
14.80 Kurtosis 0.11
15.20 Skewness 0.64
15.00 Range 2.10
15.10 Minimum 14.00
15.00 Maximum 16.10
14.40 Sum 446.10
15.80 Count 30.00
14.00
16.00
16.10
15.80
14.50
14.10
14.20
14.00
14.90
14.70
14.50
14.60
14.80
14.80
14.60

Q2 & 3

Sample soda mean
14.870
Sample soda Standard deviation
0.550
Sample size
30
Mean Confidence Interval Calculation
Mean Sample mean Sample SD E=zc*SD Sample Mean - E Sample Mean + E Zc (95% CL)
soda 16 14.870 0.100 0.1969327232 14.673 15.067 1.96
Hypothesis mean test
H0 (claim) Ha (alternative Claim) z (Test statistics) -Zc (95% CL) +Zc Conclusion
soda u >=16 u < 16 -11.2464803405 -1.96 1.96 In rejection region, reject H0
Enough evidence to support alternative claim (soda less than 16 Oz)
What are the possible causes of soda shortage?