8-4 (Testing a Claim about a Standard Deviation or Variance) 1) Which TI-83+ or TI-84+ automatic calculator function wil

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8 4 Testing A Claim About A Standard Deviation Or Variance 1 Which Ti 83 Or Ti 84 Automatic Calculator Function Wil 1 (49.26 KiB) Viewed 16 times

8 4 Testing A Claim About A Standard Deviation Or Variance 1 Which Ti 83 Or Ti 84 Automatic Calculator Function Wil 2 (55.95 KiB) Viewed 16 times

8-4 (Testing a Claim about a Standard Deviation or Variance) 1) Which TI-83+ or TI-84+ automatic calculator function will you use in this section? a) 1-PropZTest b) T-Test X²-Test d) None of these. 2) When a SRS of 40 people used 'Diet A' for one year, their weight losses had standard deviation 4.9 lbs. Use a 0.01 significance level to test the claim that the population standard deviation of all users of 'Diet A' is 6.0, which is the population standard deviation of users of 'Diet B'. State the null and alternative hypotheses. a) Ho:σ 5 6.0 Ha:o > 6.0 Ho: a = 6.0 Ha: a = 6.0 3) See problem 2. State the critical value(s). a) ±63.691 a) 26.011 b) 22.164, 63.191 4) See problem 2. Calculate the test statistic. b) 58.476 Ho: 26.0 Ha: a < 6.0 (c) 20.707, 66.766 c) 39.497 Ho:σ +6.0 d) Ha: a = 6.0 d) 22.164 d) 41.783 5) See problem 2. State the technical conclusion based on the traditional method.

a) The test statistic is external to the critical value(s); Reject Ho. b) The test statistic is external to the critical value(s); FTR Ho. c) The test statistic is not external to the critical value(s); Reject Ho. d) The test statistic is not external to the critical value(s); FTR Ho. 6) See problem 2. State the non-technical conclusion. a) There is sufficient evidence to warrant rejection of the claim that the population standard deviation of all users of 'Diet A' is 6.0, which is the population standard deviation of users of "Diet B'. b) There is not sufficient evidence to warrant rejection of the claim that the population standard deviation of all users of "'Diet A' 5.0, which is the population standard deviation of users of 'Diet B'. c) The sample data support the claim that the population standard deviation of all users of "Diet A' is 6.0, which is the population standard deviation of users of 'Diet B'. d) There is not sufficient sample evidence to support the claim that the population standard deviation of all users of 'Diet A' is 6.0, which is the population standard deviation of users of "Diet B'. 7) See problems 2-6 above. Did you prove the population standard deviation of "Diet A' to be 6.0? a) In failing to reject that it is 6.0, it makes me think it probably is pretty close to 6.0. b) I rejected the claim, which proves the pop standard deviation is 6.0. c) In failing to reject that it is 6.0, it makes me think it is probably not very close to 6.0. d) In rejecting the claim that it is 6.0, I proved it is not 6.0. 8) See problems 2-6 above. Which diet is better, A or B? a) By virtue of a lower pop standard deviation, A would be better. b) By virtue of a lower pop standard deviation, B would be better.. c) My evidence really did not address this question very well. d) A comparable standard deviation means both diets are equally bad; besides everyone knows that fat guys are jolly,