STEP 1 State the null and alternative hypotheses.
STEP 2 Find the value of the test statistic.
STEP 3 Specify if the test is one-tailed or two-tailed
STEP 4 Determine the decision rule for rejecting the null hypothesis. (Reject H0 if t > )
STEP 5 Make the decision to reject or fail to reject the null hypothesis
Step 1 ) null and alternative hypotheses are
Ho : = 354
H1 : > 354
Step2) here we use t test statistic
t = (xbar - ) /(/√n)
t = (361 - 354)/(24/√12)
t = 1.01
Step3) This is one tailed test
Step4) tcritical for = 0.10 and degrees of freedom = n -1 =11
tcritical = t1-a,n-1 = t0.90, 11
tcritical = 1.36
Decision rule : Reject Ho if t > 1.36
Step5 ) Here our t = 1.01 < 1.36
Decision : fail to reject the null hypothesis
STEP 1 State the null and alternative hypotheses. STEP 2 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 0.01 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...
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 0.1 level that the medicine relieves pain in more than 358 seconds. For a sample of 62 patients, the mean time in which the medicine relieved pain was 366 seconds. Assume the population standard deviation is 21 . Step 1 of 6: State the null and alternative hypotheses. Step 2 of 6: Find the 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 0.025 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 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 0.1 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...
Step 1 of 7: State the null and alternative hypotheses. Step 2 of 7: Find the value of the test statistic. Round your answer to two decimal places. Step 3 of 7: Specify if the test is one-tailed or two-tailed. Step 4 of 7: Determine the P-value of the test statistic. Round your answer to four decimal places. Step 5 of 7: Identify the value of the level of significance. Step 6 of 7: Make the decision to reject or...
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 0.01 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 4 of 5: Determine the decision rule for rejecting the null hypothesis. Round your answer to...
The director of research and development is testing a new drug. She wants to know if there is evidence at the 0.05 level that the drug stays in the system for more than 314 minutes. For a sample of 7 patients, the average time the drug stayed in the system was 319 minutes with a standard deviation of 21. Assume the population distribution is approximately normal. Step 1 of 5: State the null and alternative hypotheses. Step 2 of 5:...