Question

The director of research and development is testing a new medicine. She wants to know if there is evidence at the 0.02 level that the medicine relieves pain in more than 347 seconds. For a sample of 51 patients, the mean time in which the medicine relieved pain was 351 seconds. Assume the population variance is known to be 576.

Step 1 of 6:

State the null and alternative hypotheses.

Step 2 of 6:

Find the value of the test statistic. Round your answer to two decimal places.

Step 3 of 6:

Specify if the test is one-tailed or two-tailed.

Step 4 of 6:

Find the P-value of the test statistic. Round your answer to four decimal places

Step 5 of 6:

Identify the level of significance for the hypothesis test.

Step 6 of 6:

Make the decision to reject or fail to reject the null hypothesis.

Answer 1

The statistical software output for this problem is:

From above output:

1) Hypotheses:

Ho: 347

Ha: > 347

2) Test statistic = 1.19

3) One tailed

4) p - Value = 0.1170

5) Level of significance = 0.02

f) Fail to reject Null Hypothesis