In a pulse rate research, a simple random sample of 600 men results in a mean of 80 beats per minute, and a standard deviation of 11.3 beats per minute. Based on the sample results, the researcher concludes that the pulse rates of men have a standard deviation less than 12 beats per minutes. Use a 0.05 significance level to test the researchers claim.

(a)Identify the null hypothesis and alternative hypothesis.

(b)Determine the test statistic.Show all work; writing the correct test statistic, without supporting work, will receive no credit.

(c)Determine the P-value for this test.Show all work; writing the correct P-value, without supporting work, will receive no credit.

(d) Is there sufficient evidence to support the researchers claim? Explain