Question: Short answer. Answer part A and B for full credit.Test the given claims by using the critical value method of testing hypotheses and write your

Short answer. Answer part A and B for full credit.Test the given claims by using the critical value method of testing hypotheses and write your answer in the space below.

a) A department store accepts only its own credit card. Among 36 randomly selected card holders, it was found that the mean amount owed was $175.37, while the standard deviation was $84.77. Using a significance level of 0.05, test the claim that the mean amount owed by all customers is greater than $150.00.

b) A researcher claims that the amounts of acetaminophen in a certain brand of cold tablets have a mean different from the 600 mg stated by the manufacturer. Using a significance level of 0.05, test this claim. The mean acetaminophen content for a random sample of 34 tablets was 603.2 mg with a standard deviation of 6.4 mg.

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