A reporter estimates that professional golfers have an average height of 70.1 inches, with a standard deviation of 2.62. To test this estimate, a researcher chooses a random sample of 13 professional golfers and finds that their mean height is 70.2 inches, with a standard deviation of 3.84. Do these data provide enough evidence, at the 0.1 level of significance, to reject the claim that the true standard deviation, o, of professional golfers' heights is equal to 2.62? 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.)

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
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Chapter1: Starting With Matlab
Section: Chapter Questions
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(a) State the null hypothesis H, and the alternative hypothesis H .
: 0
Ho
H, :0
(b) Determine the type of test statistic to use.
|(Choose one)
(c) Find the value of the test statistic. (Round to three or more decimal places.)
(d) Find the two critical values. (Round to three or more decimal places.)
D and
(e) Can we reject the reporter's estimate that the standard deviation of
professional golfers' heights is equal to 2.62?
O Yes ONo
Transcribed Image Text:(a) State the null hypothesis H, and the alternative hypothesis H . : 0 Ho H, :0 (b) Determine the type of test statistic to use. |(Choose one) (c) Find the value of the test statistic. (Round to three or more decimal places.) (d) Find the two critical values. (Round to three or more decimal places.) D and (e) Can we reject the reporter's estimate that the standard deviation of professional golfers' heights is equal to 2.62? O Yes ONo
A reporter estimates that professional golfers have an average height of 70.1 inches, with a standard deviation of 2.62. To test this estimate, a
researcher chooses a random sample of 13 professional golfers and finds that their mean height is 70.2 inches, with a standard deviation of
3.84. Do these data provide enough evidence, at the 0.1 level of significance, to reject the claim that the true standard deviation, o, of
professional golfers' heights is equal to 2.62? 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.)
Transcribed Image Text:A reporter estimates that professional golfers have an average height of 70.1 inches, with a standard deviation of 2.62. To test this estimate, a researcher chooses a random sample of 13 professional golfers and finds that their mean height is 70.2 inches, with a standard deviation of 3.84. Do these data provide enough evidence, at the 0.1 level of significance, to reject the claim that the true standard deviation, o, of professional golfers' heights is equal to 2.62? 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.)
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