A reporter estimates that professional golfers have an average height of 69.9 inches, with a variance of 6.87. To test this estimate, a researcher chooses a random sample of 19 professional golfers...

Extracted text: A reporter estimates that professional golfers have an average height of 69.9 inches, with a variance of 6.87. To test this estimate, a researcher chooses a random sample of 19 professional golfers and finds that their mean height is 70.3 inches, with a variance of 2.46. Do these data provide enough evidence, at the 0.05 level of significance, to reject the claim that the true variance, o, of professional golfers' heights is equal to 6.87? Assume that the heights of professional golfers are approximately normally distributed. Perform a two-tailed test. Then complete the parts below. Carry your intermediate computations to three or more decimal places and round your answers as specified below. (If necessary, consult a list of formulas.) (a) State the null hypothesis H, and the alternative hypothesis H, . H, :0 H, :U (b) Determine the type of test statistic to use. (Choose one) ▼ O=0 OSO (c) Find the value of the test statistic. (Round to three or more decimal places.) (d) Find the p-value. (Round to three or more decimal places.) (e) Can we reject the reporter's estimate that the variance of professional golfers' heights is equal to 6.87? OYes ONo