ZuoTi.Pro
Question

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 0.02 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.

math   Statistics-And-Probability   
0 0
Add a comment Improve this question Transcribed image text
Next > < Previous
Sort answers by oldest

Homework Answers

Answer #1

Null Hypothesis H0 : μ = 349

Alternative Hypothesis H1:u> 349

Under H0, the test statistic is

7-μ = 353-349 = 2.095

The critical value of Z at 2% level of significance is 2.05

The P-Value is .0181

Since Z calculated is greater than Z tabulated, Reject H0.

Hence we have enough evidence to support the claim that the medicine relieves pain in more than 349 seconds.

0 0
Add a comment
Know the answer?
Add Answer to:
The director of research and development is testing a new medicine. She wants to know if...
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for? Ask your own homework help question. Our experts will answer your question WITHIN MINUTES for Free.
Similar Homework Help Questions

  • 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 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...

    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...

    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...

    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...

    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...

    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...

    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 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 0.01 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.

  • 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 0.02 level that the medicine relieves pain in more than 390 seconds. After performing a hypothesis test, she decides to reject the null hypothesis. What is the conclusion? Answer Tables Keypad There is sufficient evidence at the 0.02 level of significance that the medicine relieves pain in more than 390 seconds. There is not sufficient evidence at the 0.02...

  • 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 0.1 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...

ADVERTISEMENT
Free Homework Help App
Download From Google Play
Scan Your Homework
to Get Instant Free Answers
Need Online Homework Help?
Ask a Question
Get Answers For Free
Most questions answered within 3 hours.
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT