The Ministry of Health claims that the average number ofpatients seen by doctors during the cold season is 25 a day.Several doctors say that this estimate is too low. Assume that theMinistry of Health wants to investigate this issue and takes asample of 14 doctors which gives a mean of 27 patients foryesterday. The standard deviation of the sample is 2.5 patients.Using a significance level of 0.05, can the Ministry of Healthconclude that the mean number of patients per doctor is greaterthan 25? The daily number of patients is normallydistributed.

Test the claim by answering following questions:

1- State the null and alternative hypotheses and label yournumbers.
2- Describe your test, is it an upper z (or t) tailed-test, a lowerz (or t) tailed-test, or a two-tailed z (or t) test?
3- Calculate the test statistic, OR the p-value OR the confidenceinterval.
4- State the decision rule and make sure to use the criticalvalues.
5- Make a decision, i.e., interpret your results in part (d).