Consider the following summary of a data set on the weekly earnings (in hundreds of dollars) of residents ofNSW with a colleague degree:• Number of observations (n): 25Sample mean (X): 20.5Sample standard deviation (): 8●●We assume that the weekly earning in the population is normally distributed with unknown mean andunknown variance.Please select the correct 95% confidence interval for the mean of the weekly earning (in hundreds of dollars)in the population.[19.8, 21.2][6.8, 34.2][17.2, 23.8][17.8, 23.2][20.0, 21.0]

Sample size (n) = 25Sample mean (x̅) = 20.5Sample Standard deviations (s) = 8Confidence level (c) =…

Answered: Consider the following summary of a…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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According to a study of political prisoners, the mean duration of imprisonment for 31 prisoners with chronic post-traumatic stress disorder (PTSD) was 30.8 months. Assuming that o = 38 months, determine a 95% confidence interval for the mean duration of imprisonment, μ, of all political prisoners with chronic PTSD. Interpret your answer in words. Click here to view Page 1 of the table of areas under the standard normal curve. Click here to view Page 2 of the table of areas under the standard normal curve. A 95% confidence interval for the population mean is from months to (Round to one decimal place as needed.) months. C... Interpret the confidence interval. Select the correct choice below and fill in the answer boxes to complete your choice. (Round to one decimal place as needed.) O A. There is a 95% chance the mean duration of imprisonment, μ, of all political prisoners with chronic PTSD will equal the mean of the interval from months to OB. We can be 95% confident that the mean…
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(5). Calculate SS, variance and standard deviation for the following sample of n=7 scores: 8, 6, 5, 2, 6, 3, 5.
Methyl t-butyl ether (MTBE) is an organic water contaminant that often results from gasoline spills. The level of MTBE (in parts per billion) was measured for a sample of 12 well sites located near the ship channel during a recent spilI. The data are: 150, 376, 38, 12, 11, 134, 12, 251, 63, 8, 13, 107. (a) Find the sample mean and the sample standard deviation. (b) Construct and interpret a 91.85% and 98.15% confidence interval for the population mean by using the following equations: B, = x – t - - and By = x +t N sample N sample (c) Which confidence interval is wider and why?
1. Depression scores (1-100) for young women (20-40 years old) are assumed to be normally distributed with a mean of 75.5 within the population. A sample of 26 women were recruited to have their depression scores recorded and the mean score was 82, with a standard deviation of 12. Researchers want to know if the sample data reflects a population with mean score of 75.5. Using a significance level of 0.01, answer the following questions. (a) What statistical test should the researchers conduct? Why? Explain your answer. (b) State the hypotheses for this scenario. (c) Conduct a hypothesis test based on question 1(a) to determine what the researcher should conclude from this study. Give your answer to two decimal places. (d) Suppose you obtained several random samples each with n = 100 women and each time you obtained their depression scores. Is it reasonable to assume that the sample means of these samples xx are approximately Normally distributed even though the population distribution…
Sixty gym members were randomly selected and their weights were recorded and inputted into MINITAB. The results are summarized in Exhibit 1 below. One-Sample Z: Weight Test of mu = 195 vs < 195 The assumed standard deviation = 22.11 Variable = N Weight = 60 Mean = 193.13 Standard Deviation =22.11 SE Mean = *What is the value of test statistic for this test.?
According to a study of political prisoners, the mean duration of imprisonment for 37 prisoners with chronic post-traumatic stress disorder (PTSD) was 34.8 months. Assuming that o = 45 months, determine a 95% confidence interval for the mean duration of imprisonment, μ, of all political prisoners with chronic PTSD. Interpret your answer in words. Click here to view Page 1 of the table of areas under the standard normal curve. Click here to view Page 2 of the table of areas under the standard normal curve A 95% confidence interval for the population mean is from (Round to one decimal place as needed.) months to months. Interpret the confidence interval. Select the correct choice below and fill in the answer boxes to complete your choice. (Round to one decimal place as needed.) O A. There is a 95% chance the mean duration of imprisonment, μ, of all political prisoners with chronic PTSD will equal the mean of the interval from months. months to O B. We can be 95% confident that the mean…
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To determine whether there is a significant difference in the weights of boys and girls beginning kindergarten, random samples of 50 boys and 50 girls aged 5 years produced the following information. Mean Standard Deviation Sample Size Boys 43.5 lb 6.8 50 Girls 38.7 lb 3.5 50 (a) What is the point estimate of the difference in the average weights for 5-year old boys and girls? (Use ?Boys − ?Girls.) lb What is the 95% margin of error for the point estimate you found? (Round your answer to three decimal places.) lb (b) What is the 98% confidence interval estimate of ?Boys − ?Girls? (Round your answers to two decimal places.) lb to lb

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