Question: Problem 2 You are given the claim that the mean of a population is not equal to 24 cm. You don't believe in this claim

Problem 2

You are given the claim that the mean of a population is not equal to 24 cm. You don't believe in this claim and so you want to test it. Suppose that you know the population standard deviation is 4 cm, and the population distribution is approximately normal. To test this claim, you take a random sample as followsX = (22, 24, 22, 24, 24, 24, 25, 26, 24, 23, 27, 24, 19, 20, 25, 26, 29).

You want to know if there is enough evidence to support the claim.In order to test the claim, verify the conditions for SDSM. Also, state H0 and Ha.

Problem 3

With reference to problem 2 above, compute a sample statistic, p-value, and state your conclusion in the context of the problem.

Problem 4

With reference to problem 2 above, estimate the true mean with the level of confidence of 93%. Write clearly the formula that you use and compute it.

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