Question

Your task is to pick a hypothesis to test about a population proportion (section 8.2) or a population mean (section 8.3). Once you have determined your hypothesis you must go and collect the data. Make sure your sample meets the requirements of a test presented in sections 8.2 and 8.3 (such as appropriate sample size). Use a 0.05 significance level.

Please clearly state the null and alternative hypotheses in symbolic form and in words. State any relevant statistics from your data that you used to find your test stat. State your test stat prior to reaching your conclusion. Explain why you chose your conclusion using both the “critical value method” and “P-value method”. Interpret your conclusion in the context of the claim.

• Test the claim that the mean pulse rate of a person is less 75 beats per minute. I surveyed 30 coworkers results below:

56, 66, 67, 78, 92, 61, 75, 87, 60, 59, 56, 78, 82, 97, 58, 90, 71, 87, 65, 59, 65, 76, 60, 78, 72, 58, 90, 86, 72, 95

Answer 1

Test Statistic:

• If the standard deviation is unknown:

  

For given sample = 72.7, s=13.38

=-0.94

Using excel function ''=TDIST(0.94,19,1)'' we will get p-value 0.179

t_critical at 0.05 is 1.729

P-value > alpha=0.05 so we do not reject the null hypothesis. t_critical > t_{observed .}we reject the null hypothesis.

from both the result we conclude that  mean pulse rate of a person is does not less 75 beats per minute.

Hope this will be helpful. Thanks and God Bless You :)