find the P value (mines is wrong) During the winter of 2008-2009, the average ut

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find the P value (mines is wrong)

During the winter of 2008-2009, the average utility bill for residents of a certain state was $179 per month. A random sample of 60 customers was selected during winter of 2009-2010, and the average bill was found to be $170.58 with a sample standard deviation of $22.63. Complete parts a and b below. b) Does changing the value of a from 0.05 to 0.01 affect your conclusion? Why or why not? A. Yes, the conclusion changes. There is sufficient evidence to reject H_0. B. Yes, the conclusion changes. There is not sufficient evidence to reject H_0. C. No, the conclusion does not change. There is not sufficient evidence to reject H_0. D. No, the conclusion does not change. There is sufficient evidence to reject H_0. c) Use technology to determine the p-value for this test.

Explanation / Answer

As it is not clearly mentioned about the hypothesis test. We use below null and alternate hypothesis

H0: mu = 179

H1: mu not equals to 179

test statistics t = (170.58 - 179)/(22.63/SQRT(60)) = -2.88

p-value can be calculated using above t-score for 59 degrees of freedom

p-value = 0.0028

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