SOLUTION: A random sample has 42 values. The sample mean is 9.5 and the sample standard deviation is 1.5. Use a level of significance of 0.02 to conduct a left-tailed test of the claim that

Question 1047124: A random sample has 42 values. The sample mean is 9.5 and the sample standard deviation is 1.5. Use a level of significance of 0.02 to conduct a left-tailed test of the claim that the population mean is 10.0.
a. Are the requirements met to run a test like this?
b. What are the hypotheses for this test?
c. Compute the test statistic and the p-value for this test.
d. What is your conclusion at the 0.02 level of significance?

Answer by ewatrrr(24785) (Show Source): You can put this solution on YOUR website!
A random sample has 42 values. The sample mean is 9.5 and the sample standard deviation is 1.5. Use a level of significance of 0.02 to conduct a left-tailed test of the claim that the population mean is 10.0.
a. Are the requirements met to run a test like this? n > 30
b. What are the hypotheses for this test?
c. Compute the test statistic and the p-value for this test.
d. What is your conclusion at the 0.02 level of significance
H0: mu =10 claim
H1: mu < 10
conduct a left-tailed test of the claim that the population mean is 10.0.
z =( 9.5-10)/1.5/sqrt(42) = -2.160
p-value = .0154
.0154 < .02 reject the null hypothesis.
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