3. a. The mean of a sample of 25 was calculated as =500. The sample was randomly drawnfrom a population with standard deviation of 15. Estimate the population mean with 99%confidence.b. Repeat part (a) changing the population standard deviation to 30c. Repeat part (a) changing the population standard deviation to 60d. Describe what happens to the confidence interval estimate when the standard deviationis increased

Answered: 3. a. The mean of a sample of 25 was…

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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COMPUTE FOR THE MARGIN OF ERROR OF THE FOLLOWING AND SHOW THE STEP-BY-STEP SOLUTION. 1. Confidence level = 99%, standard deviation (s) = 25, sample size (n) = 300 FILL IN THE TABLE WITH SOLUTIONS. STEPS SOLUTION STEP 1: STEP 2: STEP 3: STEP 4: STEP 5: Margin of Error: Conclusion:
Mrs. Gallas wanted to estimate the average weight of an Oreo cookie to determine if theaverage weight was less than advertised. She selected a random sample of 30 cookies andfound the weight of each cookie (in grams). The mean weight was = 11.1921 grams with astandard deviation of sx = 0.0817 grams. Make a 95% confidence interval to estimate the truemean weight of an Oreo. 1. What is the formula for calculating the standard deviation of the sampling distribution of x? 2.What condition must be met to use this formula? Has it been met?
A simple random sample of 25 has been collected from a normally distributed population for which it is known the standard deviation is 17. The sample mean has been calculated as 342 and the sample standard deviation of 14.9. Construct a 95% confidential interval for the population mean
A population is known to be normally distributed with standard deviation known to be 6.3. In order to test the hypothesis that the true value of the mean is 19 researchers collect a sample of size 36 and calculate the sample mean to be 16. State the distribution of the sample mean and then test this hypothesis using the appropriate test.
The frequency distribution was obtained using a class width of 0.5 for data on cigarette tax rates. Use the frequency distribution to approximate the population mean and population standard deviation. Compare these results to the actual mean μ=$1.502 and standard deviation σ=$1.031.
The body temperatures of a group of healthy adults have a bell-shaped distribution with a mean of 98.34°F and a standard deviation of 0.56°F. Using the empirical rule, find each approximate percentage below. a. What is the approximate percentage of healthy adults with body temperatures within 2 standard deviations of the mean, or between 97.22°F and 99.46°F? b. What is the approximate percentage of healthy adults with body temperatures between 97.78°F and 98.90°F? a. Approximately % of healthy adults in this group have body temperatures within 2 standard deviations of the mean, or between 97.22°F and 99.46°F. (Type an integer or a decimal. Do not round.)
Abe and Betty want to estimate the mean of a population with known standard deviation o. Abe takes 50 samples whereas Betty takes 80 samples. Which of the following statements are correct? (A) If both Abe and Betty use confidence intervals of the same width, then the confidence level of Abe's interval is smaller than that of Betty's (B) If both Abe and Betty use confidence intervals of the same width, then the confidence level of Abe's interval is larger than of Betty's (C) If Abe and Betty construct confidence intervals with the same confidence level, then the width of Abe's interval is smaller than that of Betty's (D) If Abe and Betty construct confidence intervals with the same confidence level then the width of Abe's interval is larger than that of Betty's (B) and (C). (A) and (D) (B) and (D) (A) and (C)
A data set consisting of 175 standardized test scores is known to have a bell-shaped (normal) distribution with a mean of 71 and a standard deviation of 9. Use the Empirical Rule to address the following questions. Hint: sketch the distribution to help visualize the problem. Approximately 95% of the test scores lie between 53 and 89 What approximate percentage of the test scores lie between the scores 44 and 98? What approximate percentage of the test scores lie between the scores 62 and 80? 68 Question Help: Video Submit Question
A researcher wants to make a 95% confidence interval for the population mean. She wants the maximum error of estimate to be within 4.8 of the population mean. The population standard deviation is 18.65. What would be the sample size the yield a maximum error of estimate within 4.8 of the population mean?
Assume that a sample is used to estimate a population mean μ. Find the margin of error M.E. that corresponds to a sample of size 22 with a mean of 62.5 and a standard deviation of 9.6 at a confidence level of 80%.Report ME accurate to one decimal place because the sample statistics are presented with this accuracy. M.E. =
A distribution with a mean of μ =41 and a standard deviation of σ = 4 is transformed into a standardized distribution with μ=100 and σ= 20. Find the new, standardized score for each of the following values from the original population. 1.Original X= 39. Transformed X=? 2.Original X=36 . Transformed X=? 3.Original X=45. Transformed X=? 4.Original X=50. Transformed X=?
A population is known to be normally distributed with standard deviation known to be 8.5. In order to test the hypothesis that the true value of the mean is 17 researchers collect a sample of size 33 and calculate the sample mean to be 14. State the distribution of the sample mean and then test this hypothesis using the appropriate test.

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