The director of research and development is testing a new medicine. She wants to know if there is evidence at the 0.05 level that the medicine relieves pain in more than 318 seconds. For a sample of 45 patients, the mean time in which the medicine relieved pain was 323 seconds. Assume the population variance is known to be 324. Find the P-value of the test statistic. Round your answer to four decimal places. Is this a one tailed or two tailed test? Reject the HO > ?
Below are the null and alternative Hypothesis,
Null Hypothesis, H0: μ = 318
Alternative Hypothesis, Ha: μ > 318
Rejection Region
This is right tailed test, for α = 0.05
Critical value of z is 1.645.
Hence reject H0 if z > 1.645
Test statistic,
z = (xbar - mu)/(sigma/sqrt(n))
z = (323 - 318)/(18/sqrt(45))
z = 1.863
P-value Approach
P-value = 0.0312
As P-value < 0.05, reject the null hypothesis.
The director of research and development is testing a new medicine. She wants to know if...
The director of research and development is testing a new medicine. She wants to know if there is evidence at the 0.05 level that the medicine relieves pain in more than 318 seconds. For a sample of 44 patients, the mean time in which the medicine relieved pain was 323 seconds. Assume the population variance is known to be 324. Step 1 of 6: State the null and alternative hypotheses. Step 2 of 6: Find the value of the test...
The director of research and development is testing a new medicine. She wants to know if there is evidence at the 0.025 level that the medicine relieves pain in less than 335 seconds. For a sample of 15 patients, the mean time in which the medicine relieved pain was 328 seconds with a variance of 576. Assume the population distribution is approximately normal. State null/alternative hypothesis, test statistic, one/two tailed, decision rule for rejection null hypothesis, reject or fail to...
The director of research and development is testing a new medicine. She wants to know if there is evidence at the 0.05 level that the medicine relieves pain in more than 306 seconds. For a sample of 30 patients, the mean time in which the medicine relieved pain was 316 seconds. Assume the population standard deviation is 19. Find the P-value of the test statistic.
The director of research and development is testing a new medicine. She wants to know if there is evidence at the 0.05 level that the medicine relieves pain in more than 340 seconds. For a sample of 37 patients, the mean time in which the medicine relieved pain was 344 seconds. Assume the population standard deviation is 22. What is the P-value of the test statistic.
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...
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 349 seconds. For a sample of 99 patients, the mean time in which the medicine relieved pain was 353 seconds. Assume the population standard deviation is 19. Find the P-value of the test statistic.
The director of research and development is testing a new medicine. She wants to know if there is evidence at the 0.050 level that the medicine relieves pain in more than 365 seconds. For a sample of 47 patients, the mean time in which the medicine relieved pain was 370 seconds. Assume the population standard deviation is 25. Find the P-value of the test statistic.
The director of research and development is testing a new medicine. She wants to know if there is evidence at the 0.01 level that the medicine relieves pain in more than 348 seconds. For a sample of 14 patients, the average time in which the medicine relieved pain was 353 seconds with a variance of 484. Assume the population distribution is approximately normal. Step 2 of 5: Find the value of the test statistic. Round your answer to three decimal...
The director of research and development is testing a new medicine. She wants to know if there is evidence at the 0.05 level that the medicine relieves pain in less than 371 seconds. For a sample of 12 patients, the average time in which the medicine relieved pain was 368 seconds with a standard deviation of 20. Assume the population distribution is approximately normal. Step 1 of 5: State the null and alternative hypotheses. Step 2 of 5: Find the...
The director of research and development is testing a new medicine. She wants to know if there is evidence at the 0.01 level that the medicine relieves pain in more than 331 seconds. For a sample of 14 patients, the mean time in which the medicine relieved pain was 333 seconds with a standard deviation of 22 . Assume the population distribution is approximately normal. Step 1 of 5: State the null and alternative hypotheses. Step 2 of 5: Find...