Question

In a study designed to test the effectiveness of magnets for treating back? pain, 35 patients...

In a study designed to test the effectiveness of magnets for treating back? pain, 35 patients were given a treatment with magnets and also a sham treatment without magnets. Pain was measured using a scale from 0? (no pain) to 100? (extreme pain). After given the magnet? treatments, the 35 patients had pain scores with a mean of 6.0 and a standard deviation of 2.4. After being given the sham? treatments, the 35 patients had pain scores with a mean of 4.3 and a standard deviation of 2.1. Complete parts? (a) through? (c) below. Click here to view a t distribution table. LOADING... Click here to view page 1 of the standard normal distribution table. LOADING... Click here to view page 2 of the standard normal distribution table. LOADING... a. Construct the 90?% confidence interval estimate of the mean pain score for patients given the magnet treatment. What is the confidence interval estimate of the population mean mu?? nothingless thanmuless than nothing ?(Round to one decimal place as? needed.)

Homework Answers

Answer #1

A) Here t =1.697

margin of error, E = (t score*standred deviation/sqrt(n) )

E=1.697*(2.4/?35)

E=0.68843

xbar -E <? < x bar + E

6-0.68843<<6+0.68843

5.312<<6.689

90%confidential interval estimate of the mean pain score for patients given the magnet treatment is

=(5.312,6.689)(rounded as 3 decimal places)

B)t=1.697

E=1.697*(2.1/?35)

E=0.60238

xbar -E <? < x bar + E

4.3-0.60238<<4.3+0.60238

3.698<<4.903(rounded as 3decimal places)

The 90%confidential interval estimate of the pain score for patients given sham is( 3.698,4.903)

C)Since the confidence intervals overlap, it appears that the sham treatments are no more effective than the magnet treatments.

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
In a study designed to test the effectiveness of magnets for treating back​ pain, 40 patients...
In a study designed to test the effectiveness of magnets for treating back​ pain, 40 patients were given a treatment with magnets and also a sham treatment without magnets. Pain was measured using a scale from 0​ (no pain) to 100​ (extreme pain). After given the magnet​ treatments, the 40 patients had pain scores with a mean of 6.0 and a standard deviation of 2.6. After being given the sham​ treatments, the 40 patients had pain scores with a mean...
Researchers conducted a study to determine whether magnets are effective in treating back pain. The results...
Researchers conducted a study to determine whether magnets are effective in treating back pain. The results are shown in the table for the treatment​ (with magnets) group and the sham​ (or placebo) group. The results are a measure of reduction in back pain. Assume that the two samples are independent simple random samples selected from normally distributed​ populations, and do not assume that the population standard deviations are equal. Complete parts​ (a) and​ (b) below. Use a 0.050.05 significance level...
Researchers conducted a study to determine whether magnets are effective in treating back pain. The results...
Researchers conducted a study to determine whether magnets are effective in treating back pain. The results are shown in the table for the treatment​ (with magnets) group and the sham​ (or placebo) group. The results are a measure of reduction in back pain. Assume that the two samples are independent simple random samples selected from normally distributed​ populations, and do not assume that the population standard deviations are equal. Complete parts​ (a) and​ (b) below. treatment sham m m1 m2...
Salaries of 48 college graduates who took a statistics course in college have a​ mean, x...
Salaries of 48 college graduates who took a statistics course in college have a​ mean, x of $ 60,700. Assuming a standard​ deviation, sigma​, of ​$10,499​, construct a 90​% confidence interval for estimating the population mean mu. Click here to view a t distribution table. LOADING... Click here to view page 1 of the standard normal distribution table. LOADING... Click here to view page 2 of the standard normal distribution table. LOADING... ​$ nothingless thanmuless than​$ nothing ​(Round to the...
In a test of the effectiveness of garlic for lowering​ cholesterol, 4848 subjects were treated with...
In a test of the effectiveness of garlic for lowering​ cholesterol, 4848 subjects were treated with garlic in a processed tablet form. Cholesterol levels were measured before and after the treatment. The changes ​(beforeminus−​after) in their levels of LDL cholesterol​ (in mg/dL) have a mean of 4.14.1 and a standard deviation of 17.817.8. Construct a 9595​% confidence interval estimate of the mean net change in LDL cholesterol after the garlic treatment. What does the confidence interval suggest about the effectiveness...
In a test of the effectiveness of garlic for lowering​ cholesterol, 45 subjects were treated with...
In a test of the effectiveness of garlic for lowering​ cholesterol, 45 subjects were treated with garlic in a processed tablet form. Cholesterol levels were measured before and after the treatment. The changes ​(beforeminus​after) in their levels of LDL cholesterol​ (in mg/dL) have a mean of 2.9 and a standard deviation of 17.3. Construct a 99​% confidence interval estimate of the mean net change in LDL cholesterol after the garlic treatment. What does the confidence interval suggest about the effectiveness...
A study was conducted to determine whether magnets were effective in treating pain. The values represent...
A study was conducted to determine whether magnets were effective in treating pain. The values represent measurements of pain using the visual analog scale. Assume that both samples are independent simple random samples from populations having normal distributions. Use a 0.05 significance level to test the claim that those given a sham treatment have pain reductions that vary more than the pain reductions for those treated with magnets. n    x s Sham    20    0.42    1.38 Magnet...
A study was conducted to determine whether magnets were effective in treating pain. The values represent...
A study was conducted to determine whether magnets were effective in treating pain. The values represent measurements of pain using the visual analog scale. Assume that both samples are independent simple random samples from populations having normal distributions. Use a 0.05 significance level to test the claim that those given a sham treatment have pain reductions that vary more than the pain reductions for those treated with magnets. n x s Sham 20 0.42 1.38 Magnet 20 0.48 0.93 What...
Using the simple random sample of weights of women from a data​ set, we obtain these...
Using the simple random sample of weights of women from a data​ set, we obtain these sample​ statistics: nequals40 and x overbarequals153.03 lb. Research from other sources suggests that the population of weights of women has a standard deviation given by sigmaequals30.91 lb. a. Find the best point estimate of the mean weight of all women. b. Find a 90​% confidence interval estimate of the mean weight of all women. Click here to view a t distribution table. LOADING... Click...
In a test of the effectiveness of garlic for lowering​ cholesterol, 50 subjects were treated with...
In a test of the effectiveness of garlic for lowering​ cholesterol, 50 subjects were treated with garlic in a processed tablet form. Cholesterol levels were measured before and after the treatment. The changes ​(beforeminus​after) in their levels of LDL cholesterol​ (in mg/dL) have a mean of 4.2 and a standard deviation of 15.5. Construct a 90​% confidence interval estimate of the mean net change in LDL cholesterol after the garlic treatment. What does the confidence interval suggest about the effectiveness...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT