Question

In: Statistics and Probability

A medical statistician wants to estimate the average weight loss of people who are on a...

A medical statistician wants to estimate the average weight loss of people who are on a new diet plan. In a study, he guesses that the standard deviation of the population of weight losses is about 20 pounds. How large a sample should he take to estimate the mean weight loss to within 8 pounds from the sample average weight, with 95% confidence? Is your estimation always correct? Please briefly explain your reasoning. If you start with a bigger sample, (under the condition that the confidence level and standard deviation remain unchanged,) then does it affect the accuracy of the estimation? Please briefly explain your reasoning. What happens to the confidence interval if the standard deviation takes a bigger value? Please briefly explain your reasoning.

Solutions

Expert Solution

Thank you.


Related Solutions

1.A report in a research journal states that the average weight loss of people on a...
1.A report in a research journal states that the average weight loss of people on a certain drug is 23 lbs with a margin of error of ±2 lbs with confidence level C = 95%. (a) According to this information, the mean weight loss of people on this drug, μ, could be as low as .........lbs. (b) If the study is repeated, how large should the sample size be so that the margin of error would be less than 1...
The producer of a weight-loss pill advertises that people who use the pill lose, after one...
The producer of a weight-loss pill advertises that people who use the pill lose, after one week, an average (mean) of 1.85 pounds with a standard deviation of 0.95 pounds. In a recent study, a group of 45 people who used this pill were interviewed. The study revealed that these people lost a mean of 1.77 pounds after one week. If the producer's claim is correct, what is the probability that the mean weight loss after one week on this...
DX is a 39-year-old man who is seeking nutritional advice for weight loss and dyslipidemia. Medical...
DX is a 39-year-old man who is seeking nutritional advice for weight loss and dyslipidemia. Medical Diagnosis by MD:  Dyslipidemia, obesity Initial Assessment of DX: B/P: 118/75 Height: 6’0” Weight: 238.8 lbs Body fat: 24.1% BMI: 32.4 History:   DX is the owner/manager of a construction company and is somewhat active at his job. However, he reports that he mainly oversees jobs rather than doing the manual labor so estimates his activity level as between lightly and moderately active. He wants to...
Weight Loss in Men Many polls have asked people whether they are trying to lose weight....
Weight Loss in Men Many polls have asked people whether they are trying to lose weight. A Gallup poll in November 2008 showed that 22% of men said they were seriously trying to lose weight. In 2006, 24% of men (with the same average weight of 194 pounds as the men polled in 2008) said they were seriously trying to lose weight. Assume that both samples contained 500 men. Determine whether the difference in proportions is significant at the 0.05...
An investigator wants to test the effectiveness of a new weight loss medication at reducing BMI...
An investigator wants to test the effectiveness of a new weight loss medication at reducing BMI (kg/m2). Suppose the following table represents the results from a SRS of individuals enrolled in the study. Assume a normal approximation is acceptable. (α=.05)(6 points) Patient BMI Pre-Test (kg/m2) BMI Post-Test (kg/m2) A 30.5 26.5 B 32.8 28.5 C 35.6 28.4 D 34.7 25.7 E 33.9 29.4 A) What type of test design is this? B) Write our your null and alternative hypotheses. H0:µd=____  ,Ha:...
1. Discuss how an individual who wants to maintain weight, lose weight, or gain weight needs...
1. Discuss how an individual who wants to maintain weight, lose weight, or gain weight needs to adjust his/her nutrition and exercise program.
A sample of 64 cows is used to estimate the average weight of a herd’s population....
A sample of 64 cows is used to estimate the average weight of a herd’s population. If the population standard deviation is 96 pounds, what is the margin of error of the population average weight estimate for a 90% confidence interval?
The data below represents the weight loss (in pounds) for people on three different exercise programs....
The data below represents the weight loss (in pounds) for people on three different exercise programs. At the 0.01 significance level, does it appear that a difference exists in the true mean weight loss produced by the three exercise programs. Exercise A Exercise B Exercise C 7.1 3.1 6.7 8.0 2.2 8.1 7.5 5.0 5.0 6.8 4.4 9.0 a) State the null and alternative hypotheses. b) Find the P-value. STATE THE CALCULATOR COMMAND YOU USE. c) State whether you should...
​Seventy-eight people participated in a study of weight loss with a specified diet. The following table...
​Seventy-eight people participated in a study of weight loss with a specified diet. The following table lists the amount of weight loss for randomly selected participants when they followed the​ diet, catagorized by age group. Age Group 16​ - 25 26​ - 35 36​ - 45 46​ - 55 Data 4.2 7.0 5.4 3.4 2.4 8.5 1.9 5.3 3.3 1.1 2.7 0.9 1.7 4.5 9.2 0 3.5 ​-2.1 3.0 0.6 3.6 5.8 0.7 Is there evidence that different age groups...
A town council wants to estimate the proportion of residents who are in favor of a...
A town council wants to estimate the proportion of residents who are in favor of a proposal to upgrade the computers in the town library. A random sample of 100 residents was selected, and 97 of those selected indicated that they were in favor of the proposal. Is it appropriate to assume that the sampling distribution of the sample proportion is approximately normal?
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT