How to do Number 4? please help Does it pay to take preparatory courses for stan

Question

How to do Number 4? please help

Does it pay to take preparatory courses for standardized tests such as the SAT? Using the sample data in the following table, test the claim that the Allan Preparation Course has no effect on the SAT score. In other words, is there an increase in SAT performance due to the course Use a 0.05 level of significance. Based on data from the National Health Survey, men aged from 25 to 34 have heights with a standard deviation of 2.9 inches. Test the claim that men in a higher age bracket 45 through 54 -have heights with a different variability. The heights of 25 randomly selected men in the 45 to 54 age bracket are listed below. If you reject the null hypothesis, you want a risk of no more than five percent of being incorrect. 66.80 71.22 65.80 66.24 69.62 70.49 70.00 71.46 65.72 68.10 72.14 71.58 66.85 69.88 68.69 72.77 67.34 68.40 68.96 68.70 72.69 68.67 67.79 63.97 67.19

Explanation / Answer

H0: 1^2 = 2^2 (there is no difference between variances)

H1: 1^2 2^2 (there is a difference between variances)

FSTAT=S1^2/S2^2=(2.9)^2/(2.34)^2=1.5359

FCRIT is 1.98 and value of FSTAT is less than FCRIT and hence cannot reject the null hypothesis.

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