Question

An experiment was designed to compare the lengths of time that four different drugs provided pain...

An experiment was designed to compare the lengths of time that four different drugs provided pain relief after surgery. The results (in hours) follow. Is there enough evidence to reject the null hypothesis that there is no significant difference in the length of pain relief provided by the four drugs at α = .05?

Drug
A B C D
7 6 8 3
2 5 12 4
3 5 10 4
7 4 8
8

(a) Find the test statistic. (Give your answer correct to two decimal places.)


(ii) Find the p-value. (Give your answer bounds exactly.)
_____< p <_____
(b) State the appropriate conclusion.

Reject the null hypothesis, there is not significant evidence of a difference in the length of pain relief. Reject the null hypothesis, there is significant evidence of a difference in the length of pain relief.     Fail to reject the null hypothesis, there is significant evidence of a difference in the length of pain relief. Fail to reject the null hypothesis, there is not significant evidence of a difference in the length of pain relief.



You may need to use the appropriate table in Appendix B to answer this question.

Homework Answers

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
An experiment was designed to compare the lengths of time that four different drugs provided pain...
An experiment was designed to compare the lengths of time that four different drugs provided pain relief after surgery. The results (in hours) follow. Is there enough evidence to reject the null hypothesis that there is no significant difference in the length of pain relief provided by the four drugs at α = .05? Drug A B C D 4 5 11 3 5 4 9 3 3 3 12 4 6 5 11 10 (a) Find the test statistic....
An experiment was designed to compare the lengths of time that four different drugs provided pain...
An experiment was designed to compare the lengths of time that four different drugs provided pain relief after surgery. The results (in hours) follow. Is there enough evidence to reject the null hypothesis that there is no significant difference in the length of pain relief provided by the four drugs at α = .05? Drug A B C D 5 5 9 2 8 5 9 2 3 5 12 3 4 6 9 8 (a) Find the test statistic....
1A) An experiment was designed to compare the lengths of time that four different drugs provided...
1A) An experiment was designed to compare the lengths of time that four different drugs provided pain relief after surgery. The results (in hours) follow. Is there enough evidence to reject the null hypothesis that there is no significant difference in the length of pain relief provided by the four drugs at α = .05? Drug A B C D 2 4 9 4 8 6 8 2 7 6 11 2 3 5 10 9 (a) Find the test...
A large supermarket carries four qualities of ground beef. Customers are believed to purchase these four...
A large supermarket carries four qualities of ground beef. Customers are believed to purchase these four varieties with probabilities of 0.06, 0.29, 0.18, and 0.47, respectively, from the least to most expensive variety. A sample of 517 purchases resulted in sales of 40, 147, 85, and 245 of the respective qualities. Does this sample contradict the expected proportions? Use α = .05. (a) Find the test statistic. (Give your answer correct to two decimal places.) (ii) Find the p-value. (Give...
A large supermarket carries four qualities of ground beef. Customers are believed to purchase these four...
A large supermarket carries four qualities of ground beef. Customers are believed to purchase these four varieties with probabilities of 0.11, 0.24, 0.17, and 0.48, respectively, from the least to most expensive variety. A sample of 520 purchases resulted in sales of 49, 145, 73, and 253 of the respective qualities. Does this sample contradict the expected proportions? Use α = 0.05. (a) Find the test statistic. (Round your answer to two decimal places.) (ii) Find the p-value. (Round your...
A large supermarket carries four qualities of ground beef. Customers are believed to purchase these four...
A large supermarket carries four qualities of ground beef. Customers are believed to purchase these four varieties with probabilities of 0.09, 0.27, 0.13, and 0.51, respectively, from the least to most expensive variety. A sample of 518 purchases resulted in sales of 44, 150, 83, and 241 of the respective qualities. Does this sample contradict the expected proportions? Use α = 0.05. (a) Find the test statistic. (Round your answer to two decimal places.) (ii) Find the p-value. (Round your...
Two randomly selected groups of citizens were exposed to different media campaigns that dealt with the...
Two randomly selected groups of citizens were exposed to different media campaigns that dealt with the image of a political candidate. One week later, the citizen groups were surveyed to see whether they would vote for the candidate. The results were as follows. Is there sufficient evidence to show a difference in the effectiveness of the two image campaigns at the 0.05 level of significance? (Use Conservative - Moderate.) Exposed to Conservative Image    Exposed to Moderate Image Number in...
The manager of an assembly process wants to determine whether or not the number of defective...
The manager of an assembly process wants to determine whether or not the number of defective articles manufactured depends on the day of the week the articles are produced. She collected the following information. Is there sufficient evidence to reject the hypothesis that the number of defective articles is independent of the day of the week on which they are produced? Use α = 0.05. Day of Week M Tu W Th F Nondefective 86 86 95 90 91 Defective...
A certain type of flower seed will produce magenta, chartreuse, and ochre flowers in the ratio...
A certain type of flower seed will produce magenta, chartreuse, and ochre flowers in the ratio 6:3:1 (one flower per seed). A total of 100 seeds are planted and all germinate, yielding the following results. Magenta Chartreuse Ochre 56 25 19 (a) If the null hypothesis (6:3:1) is true, what is the expected number of magenta flowers? (b) How many degrees of freedom are associated with chi-square? (c) Complete the hypothesis test using α = 0.10. (i) Find the test...
A new operator was recently assigned to a crew of workers who perform a certain job....
A new operator was recently assigned to a crew of workers who perform a certain job. From the records of the number of units of work completed by each worker each day last month, a sample of size five was randomly selected for each of the two experienced workers and the new worker. At the α = .05 level of significance, does the evidence provide sufficient reason to reject the claim that there is no difference in the amount of...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT