Use the following information to answer the next three exercises. Two cyclists are comparing the variances of their overall paces going uphill. Each cyclist records his or her speeds going up 35 hills. The first cyclist has a variance of 23.8 and the second cyclist has a variance of 32.1. The cyclists want to see if their variances are the same or different. Assume that commute times are normally distributed. 14. State the null and alternative hypotheses. 15. What is the F Statistic? 16. At the 5% significance level, what can we say about the cyclists' variances?

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Please answer number 15 and 16 in the photo and use the question in the photo to answer. (Based on two tail test answer is you reject the null hypothesis). Please answer clearly and explain. Thank you
Use the following information to answer the next three exercises. Two cyclists are comparing the variances of
their overall paces going uphill. Each cyclist records his or her speeds going up 35 hills. The first cyclist has a
variance of 23.8 and the second cyclist has a variance of 32.1. The cyclists want to see if their variances are the
same or different. Assume that commute times are normally distributed.
14. State the null and alternative hypotheses.
15. What is the F Statistic?
16. At the 5% significance level, what can we say about the cyclists' variances?
Transcribed Image Text:Use the following information to answer the next three exercises. Two cyclists are comparing the variances of their overall paces going uphill. Each cyclist records his or her speeds going up 35 hills. The first cyclist has a variance of 23.8 and the second cyclist has a variance of 32.1. The cyclists want to see if their variances are the same or different. Assume that commute times are normally distributed. 14. State the null and alternative hypotheses. 15. What is the F Statistic? 16. At the 5% significance level, what can we say about the cyclists' variances?
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