The manager of a major retail store has taken a random sample of 25 customers. the average sale was $52.50. the population standard deviation is known to be $6.10. the manager would like to determine whether or not the mean sales by all customers are significantly more than $50. what is the p-value for the test?
a. 05
b. 02
c. 2.50

A. find the power of the test, when the null hypothesis assumes a population mean of mu = 450, with a population standard deviation of 156, the sample size is 5 and the true mean is 638.47 with confidence intervals of 95 b. find the power of the test, when the null hypothesis assumes a population mean of mu = 644, with a population standard deviation of 174, the sample size is 3 and the true mean is 744.04 with confidence intervals of 95% c. find the power of the test, when the null hypothesis assumes a population mean of mu = 510, with a population standard deviation of 126, the sample size is 10 and the true mean is 529.44 with confidence intervals of 95