A simple random sample of 50 measurements is taken from a population whose standard deviation is known to be 10. Assume that the sample is large enough for the Central Limit Theorem to apply. We are...

A simple random sample of 50 measurements is taken from a population whose standard deviation is known to be 10. Assume that the sample is large enough for the Central Limit Theorem to apply. We are testing a null hypothesis that the population mean is 60 against the alternative that it is not equal to 60, using a significance level of a = 0.05. The sample mean is 63. What do you conclude?

(a) conclude that the population mean could be 60 because the P-value is less than 0.05

(b) conclude that the population mean is not 60 because the P-value is between 0.025 and 0.05

(c) conclude that the population mean is not 60 because the P-value is less than 0.01

(d) conclude that the population mean is not 60 because the P-value is bet ween 0.01 and 0.025

(e) conclude that the population mean could be 60 because the P-value is greater than 0.05