The director of research and development is testing a new medicine. She wants to know if there is evidence at the 0.02level that the medicine relieves pain in more than 313 seconds. For a sample of 34 patients, the mean time in which the medicine relieved pain was 321 seconds. Assume the variance is known to be 576
Step 1 of 5:
Enter the hypotheses:
Step 2 of 5:
Enter the value of the z test statistic. Round your answer to two decimal places.
Step 3 of 5:
Specify if the test is one-tailed or two-tailed.
Step 4 of 5:
Enter the decision rule.
Step 5 of 5:
Enter the conclusion.
1)
Below are the null and alternative Hypothesis,
Null Hypothesis, H0: μ = 313
Alternative Hypothesis, Ha: μ > 313
2)
Test statistic,
z = (xbar - mu)/(sigma/sqrt(n))
z = (321 - 313)/(24/sqrt(34))
z = 1.94
3)
This is one tailed test, for α = 0.02
4)
This is right tailed test, for α = 0.02
Critical value of z is 2.05.
Hence reject H0 if z > 2.05
5)
fail to reject null hypothesis.
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