Hypothesis testing of single mean.
Someone claims that the mean age of residents of a certain neighbourhood is 50, but you suspect that the mean age is actually higher than that. A sample of 36 residents reveals a mean age of 53, with a sample standard deviation of 15.
a. State the null and alternative hypotheses.
b. Compute the value of the test statistic.
c. Taking α to be 0.05, what is/are the critical values associated with testing your hypothesis?
d. What conclusion do you come to?
Assuming this time that your data came from a sample of only 16 residents.