In a pulse rate research, a simple random sample of 50 men results in a mean of 80 beats perminute, and a standard deviation of 11.5 beats per minute. Based on the sample results, theresearcher concludes that the pulse rates of men have a standard deviation greater than 10 beatsper minutes. Use a 0.10 significance level to test the researcher’s claim.(a) Identify the null hypothesis and alternative hypothesis.(b) Determine the test statistic. Show all work; writing the correct test statistic, withoutsupporting work, will receive no credit.(c) Determine the P-value for this test. Show all work; writing the correct P-value, withoutsupporting work, will receive no credit.(d) Is there sufficient evidence to support the researcher’s claim? Explain.