A health researcher reads that a 200-pound male can burn an average of 546 calories per hour playing tennis.

the researcher suspects that the average number of calories burned is actually less than 546 calories. She takes a random sample of fifty-one males and finds the mean number of calories burned per hour was 544.9 with a standard deviation of 3.84 calories. At the 2% significance level, test the researchers claim.

a)State the null hypothesis and alternative hypothesis

b)Calculate the test statistic

c) Draw the rejection region and state your conclusion