Question

A medical researcher wants to compare the pulse rates of smokers and non-smokers. He believes that the pulse rate for smokers and non-smokers is different and wants to test this claim at the 0.1 level of significance. A sample of 76 smokers has a mean pulse rate of 79, and a sample of 62 non-smokers has a mean pulse rate of 76. The population standard deviation of the pulse rates is known to be 7 for smokers and 8 for non-smokers. Let μ1 be the true mean pulse rate for smokers and μ2 be the true mean pulse rate for non-smokers.

Step 1 of 5: State the null and alternative hypotheses for the test.

Step 2 of 5:Compute the value of the test statistic. Round your answer to two decimal places.

Step 3 of 5:Find the p-value associated with the test statistic. Round your answer to four decimal places.

Step 4 of 5:Make the decision for the hypothesis test. (Reject or Fail to Reject Null Hypothesis)

Step 5 of 5:State the conclusion of the hypothesis test. (There is sufficient evidence to support the claim or there is not sufficient evidence...)

Answer 1

Step 1

H0 :- µ1 = µ2
H1 :- µ1 ≠ µ2

Step 2

Test Statistic :-


Z = 2.32

Step 3

P value = P ( Z < 2.3166 ) = 0.0205

Step 4

Reject null hypothesis if P value < α = 0.1 level of significance
Since 0.0205 < 0.1 ,hence we reject null hypothesis
Result :- Reject null hypothesis

Step 5

There is sufficient evidence to support the claim that the pulse rate for smokers and non-smokers is different.