Suppose that measurements of your systolic blood pressure are normally distribut

Question

Suppose that measurements of your systolic blood pressure are normally distributed with some unknown mean ? and the known standard deviation ?=6.9. (a) You suspect that your average systolic blood pressure is high, that is ?>140 mmHg. Which is the most appropriate alternative hypothesis to support your suspicion with a hypothesis test? Answer:your true mean blood pressure is higher than 140 (b) In order to perform the test you are taking n=6 independent measurements over several days. The sample mean x¯ is 146. Your test statistic is the standardized sample mean x¯, that is, Z=x¯?140?/n???. Find the value of the test statistic. Z= ____(c) The p-value for the appropriate test in (a) is the area under the standard normal distribution to the right of the observed test statistic. Find the p-value. ____(d) Should you reject the null hypothesis at significance level ?=0.05? Answer:yes, reject (e) Should you reject the null hypothesis at significance level ?=0.01? Answer: No, fail to reject (f). Draw the appropriate conclusion at significance level ?=0.05. Answer: Your blood pressure is significantly higher than 140.

I need help on parts b and c

Explanation / Answer

X?= 146

n= 6

sigma= 6

H0: u= 140

H1: u> 140 Right tail test

Test Statistics

Z= (X?-u)*sqrt(n)/sigma

=(146-140)*sqrt(6)/6.9

=2.12999

P-value=1-P(Z<2.1299)= 0.01658617

rounded p-value= 0.01659

...............................................

I have answered B and C .........

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