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.
H0: = 306
Ha: > 306
Test statistics
z = ( - ) / ( / sqrt( n ) )
= ( 316 - 306) / ( 19 / sqrt(30) )
= 2.88
p-value = P(Z > z)
= P(Z > 2.88)
= 1 - P(Z < 2.88)
= 1 - 0.9980
= 0.0020
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 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 0.02 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 0.05 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...
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 0.01 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 0.01 level that the medicine relieves pain in more than 360 seconds. For a sample of 19 patients, the average time in which the medicine relieved pain was 368 seconds with a variance of 625. Assume the population distribution is approximately normal. Step 2: Find the P-value for the hypothesis test. Round your answer to four decimal places.
he director of research and development is testing a new medicine. She wants to know if there is evidence at the 0.10.1 level that the medicine relieves pain in more than 316316 seconds. For a sample of 1818 patients, the average time in which the medicine relieved pain was 319319 seconds with a variance of 576576. Assume the population distribution is approximately normal. 1. State the null and alternative hypotheses.
The director of research and development is testing a new medicine. She wants to know if there is evidence at the 0.1 level that the medicine relieves pain in more than 371 seconds. For a sample of 18 patients, the mean time in which the medicine relieved pain was 379 seconds with a standard deviation of 22 . Assume the population distribution is approximately normal. Step 1 of 3: State the null and alternative hypotheses. Step 2 of 3: Find...
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...