Consider the following information for questions 32-34. A restaurant claims that

Question

Consider the following information for questions 32-34. A restaurant claims that the standard deviation in the length of serving times is less than 2.9 minutes. A disgruntled customer believes that the standard deviation is more than 2.9 minutes. He takes a random sample of 23 serving times, which has a standard deviation of 3.3 minutes. At alpha = 0.10, is there enough evidencee to support the customer's claim? Assume the population is normally distributed. State hypotheses: Calculate test statistic. (Round to two decimal places.) Conclude your test. Justify your answer.

Explanation / Answer

Ho : SD > = 2.9

Ha : SD < 2.9

X^2 = ( 22*3.3 ) / 2.9 = 25.03

for alpha = 0.10 df = 22 critical value is 30.813

since X^2 < critical value we fail to reject Ho

SD is greater than 2.9

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