Testing the Hypothesis given a Standard Deviation
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Test the hypothesis that the standard deviation is 10 (use the data below). Provide a 95% confidence interval for the variance. Compute the p value for the test.
101.633
91.169
108.907
102.19
99.485
96.078
112.841
109.448
106.771
90.432
110.971
105.659
100.346
94.768
77.861
86.412
96.465
89.31
90.101
123.197
98.607
87.968
73.486
75.833
96.827
100.81
101.83
102.631
102.774
90.115
104.292
98.739
96.128
83.883
102.788
107.991
108.68
100.509
94.708
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Solution Summary
This solution provides calculations for testing a hypothesis and computing p value.
Education
- BSc , Wuhan Univ. China
- MA, Shandong Univ.
Recent Feedback
- "Your solution, looks excellent. I recognize things from previous chapters. I have seen the standard deviation formula you used to get 5.154. I do understand the Central Limit Theorem needs the sample size (n) to be greater than 30, we have 100. I do understand the sample mean(s) of the population will follow a normal distribution, and that CLT states the sample mean of population is the population (mean), we have 143.74. But when and WHY do we use the standard deviation formula where you got 5.154. WHEN & Why use standard deviation of the sample mean. I don't understand, why don't we simply use the "100" I understand that standard deviation is the square root of variance. I do understand that the variance is the square of the differences of each sample data value minus the mean. But somehow, why not use 100, why use standard deviation of sample mean? Please help explain."
- "excellent work"
- "Thank you so much for all of your help!!! I will be posting another assignment. Please let me know (once posted), if the credits I'm offering is enough or you ! Thanks again!"
- "Thank you"
- "Thank you very much for your valuable time and assistance!"
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