The average yearly rainfall in the Sahara desert used to be 10 inches. A climato

Question

The average yearly rainfall in the Sahara desert used to be 10 inches. A climatologist believes that amount has changed. Which represent the null and alternative hypothesis 10 10 The climatologist takes a sample of 20 recent yearly rainfall records and obtains an average of 10.3 inches. Suppose the data are unimodal and approximately symmetric, with no outliers, and t = 1.597 Find the sample statistic for the current average yearly rainfall. sample statistic-52 (2 decimal places) The degrees of freedom are degrees of freedom19 (whole number) Find the p-value. p-value (3 decimal places) What is our decision if alpha = 0.08? O Fail to reject the null hypothesis. There is insufficient evidence that the average yearly rainfall has changed Fail to reject the null hypothesis. There is sufficient evidence that the average yearly rainfall has changed O Reject the null hypothesis. There is insufficient evidence that the average yearly rainfall has changed Reject the null hypothesis. There is sufficient evidence that the average yearly rainfall has changed Complete the following sentence The confidence interval corresponding to this test would be a % confidence interval We can also reach the same conclusion by examining a confidence interval to determine whether or not the null hypothesis should be rejected. What number would you look for within the confidence interval? (whole number) Suppose we did a right-tailed test instead of this one. What would the new p-value be? p-value- (3 decimal places)

Explanation / Answer

p value = .1267

Answer is Option A)
Fail to reject the null hypothesis. there is insufficient evidence that the average yearly rainfall has changed.

The confidence interval corresponding to this test would be a 92% confidence interval

10 number would look for within the confidence interval

P value for one tailed = .0634

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