The mean of a population is assumed to be 5000. However, it is also believed the mean is not 5000. A sample of size 49 from the population is considered. Assume a calculated sample mean of 5100 and a standard deviation of 100. At the 5% significance level we will determine if the null hypothesis will be rejected. Give the null and alternative hypotheses.
Give the rejection region.
Give the test statistic.
Give the p-value.
Give the conclusion.