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Black Russian Terriers is 70 3 cm with a standard deviation of 2 54 A...

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Black Russian Terriers is 70 3 cm with a standard deviation of 2 54 A researcher believes that because of changes to breeding practices the true standard deviation 6 is not 2 54 To test this she selects a random sample of 28 mature Black Russian Terriers and finds that their mean height is 70 4 cm with a standard deviation of 3 37 Do these data provide enough evidence at the 0 01 level of significance to reject the claim that the standard deviation of mature Black Russian Terriers heights is equal to 2 54 Assume that the heights of mature Black Russian Terriers are approximately normally distributed Perform a two tailed test Then complete the parts below Carry your intermediate computations to three or more decimal places If necessary consult a list of formulas a State the null hypothesis Ho and the alternative hypothesis H H D H 0 b Determine the type of test statistic to use Chi square Degrees of freedom c Find the value of the test statistic Round to three or more decimal places 0 d Find the two critical values Round to three or more decimal places and e Can reject the claim that the standard deviation of mature Black Russian Terriers heights is equal to 2 54 OYes No x O X S Un 0 0 OSO 0 0 P 00 020 0

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