Question

The data accompanying this exercise show miles per gallon (mpg) for 25 cars. We can assume...

The data accompanying this exercise show miles per gallon (mpg) for 25 cars. We can assume that the mpg are normally distributed.

a. State the null and the alternative hypotheses in order to test whether the variance differs from 62 mpg2.

b. Find the 95% confidence interval to determine whether the variance differs from 62mpg2. Explain how you came to that conclusion.

c. c. Find the two-tailed critical value, χ2α/2,df for a 99% confidence level.

d. d. Use the critcal value approach to determine whether the variance differs from 62mpg2 and state a conclusion at α = 0.01 (two full sentences).

MPG
97
117
93
79
97
87
78
83
94
96
102
98
82
96
113
113
111
90
101
99
112
89
92
96
98

Show all working out and reasoning, be specific and detailed please. Please do all working out in Excel only. Thank you. This is about Chi Squared Distribution:Statistical Inference Concerning Variance and F Distribution:Inference Concerning Ratio of Two Population Variances to give you an idea about what formulas I'm looking for. Thank you.

Math   Statistics-And-Probability   
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