/*! This file is auto-generated */ .wp-block-button__link{color:#fff;background-color:#32373c;border-radius:9999px;box-shadow:none;text-decoration:none;padding:calc(.667em + 2px) calc(1.333em + 2px);font-size:1.125em}.wp-block-file__button{background:#32373c;color:#fff;text-decoration:none} Q12 In Exercises 9鈥16, assume that... [FREE SOLUTION] | 91影视

91影视

In Exercises 9鈥16, assume that each sample is a simplerandom sample obtained from a population with a normal distribution.

Garlic for Reducing Cholesterol In a test of the effectiveness of garlic for lowering cholesterol, 49 subjects were treated with raw garlic. Cholesterol levels were measured before and after the treatment. The changes (before minus after) in their levels of LDL cholesterol(in mg/dL) had a mean of 0.4 and a standard deviation of 21.0 (based on data from 鈥淓ffect of Raw Garlic vs Commercial Garlic Supplements on Plasma Lipid Concentrations in Adults with Moderate Hypercholesterolemia,鈥 by Gardner et al.,Archives of Internal Medicine,Vol. 167).Construct a 98% confidence interval estimate of the standard deviation of the changes in LDL cholesterol after the garlic treatment. Does the result indicate whether the treatment is effective?

Short Answer

Expert verified

The 98% confidence interval estimate of the standard deviation of the changes in LDL cholesterol after the garlic treatment is 16.9<<27.4.

And, the confidence interval does not indicate that the treatment is effective.

Step by step solution

01

Given information

The sample number of subjects who were treated with raw garlic is n=49.

The mean level of LDL cholesterol (in mg/Dl) is 0.4.

The sample standard deviation is s=21min.

The level of confidence is 98%.

02

Compute the critical values and confidence interval

The degrees of freedom is computed as,

df=n-1=49-1=48

The level of confidence is 98%, which implies that the level of significance is 0.02.

Using the Chi-square table, the critical values at 0.02 level of significance and at 48 degrees of freedom are L2=28.177and R2=73.6826.

The 98% confidence interval estimate of the standard deviation of the changes in LDL cholesterol after the garlic treatment is computed as,

n-1s2R2<<n-1s2L249-121273.6826<<49-121228.17716.9<<27.4

Therefore, the 98% confidence interval estimate of the standard deviation of the changes in LDL cholesterol after the garlic treatment is 16.9<<27.4.

And, the confidence interval does not give any information about the effectiveness of the treatment.

Unlock Step-by-Step Solutions & Ace Your Exams!

  • Full Textbook Solutions

    Get detailed explanations and key concepts

  • Unlimited Al creation

    Al flashcards, explanations, exams and more...

  • Ads-free access

    To over 500 millions flashcards

  • Money-back guarantee

    We refund you if you fail your exam.

Over 30 million students worldwide already upgrade their learning with 91影视!

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Most popular questions from this chapter

Critical Thinking. In Exercises 17鈥28, use the data and confidence level to construct a confidence interval estimate of p, then address the given question.

OxyContinThe drug OxyContin (oxycodone) is used to treat pain, but it is dangerous because it is addictive and can be lethal. In clinical trials, 227 subjects were treated with OxyContin and 52 of them developed nausea (based on data from Purdue Pharma L.P.).

a.Construct a 95% confidence interval estimate of the percentageof OxyContin users who develop nausea.

b.Compare the result from part (a) to this 95% confidence interval for 5 subjects who developed nausea among the 45 subjects given a placebo instead of OxyContin: 1.93% <p< 20.3%. What do you conclude?

Sample Size. In Exercises 29鈥36, find the sample size required to estimate the population mean.

Mean Weight of Male Statistics Students Data Set 1 鈥淏ody Data鈥 in Appendix B includes weights of 153 randomly selected adult males, and those weights have a standard deviation of 17.65 kg. Because it is reasonable to assume that weights of male statistics students have less variation than weights of the population of adult males, let =17.65kg. How many male statistics students must be weighed in order to estimate the mean weight of all male statistics students? Assume that we want 90% confidence that the sample mean is within 1.5 kg of the population mean. Does it seem reasonable to assume that weights of male statistics students have less variation than weights of the population of adult males?

Sample Size. In Exercises 29鈥36, find the sample size required to estimate the population mean.

Mean Pulse Rate of Males Data Set 1 鈥淏ody Data鈥 in Appendix B includes pulse rates of 153 randomly selected adult males, and those pulse rates vary from a low of 40 bpm to a high of 104 bpm. Find the minimum sample size required to estimate the mean pulse rate of adult males. Assume that we want 99% confidence that the sample mean is within 2 bpm of the population mean.

a. Find the sample size using the range rule of thumb to estimate .

b. Assume that =11.3bpm, based on the value of s=12.5bpmfor the sample of 153 male pulse rates.

c. Compare the results from parts (a) and (b). Which result is likely to be better?

In Exercises 5鈥8, use the given information to find the number of degrees of freedom, the critical values X2 L and X2R, and the confidence interval estimate of . The samples are from Appendix B and it is reasonable to assume that a simple random sample has been selected from a population with a normal distribution.

Platelet Counts of Women 99% confidence;n= 147,s= 65.4.

Formats of Confidence Intervals.

In Exercises 9鈥12, express the confidence interval using the indicated format. (The confidence intervals are based on the proportions of red, orange, yellow, and blue M&Ms in Data Set 27 鈥淢&M Weights鈥 in Appendix B.)

Red M&Ms Express 0.0434 < p < 0.217 in the form ofp+E

See all solutions

Recommended explanations on Math Textbooks

View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Study anywhere. Anytime. Across all devices.