An industrial engineer is analyzing the structural strength of a concrete aggregate. Structural strengthis normally distributed with o? = 1000 (psi)?. A random sample of 12 specimens has a mean strengthof i = 3250 psi. Compare the width of the 95% confidence interval with the width of 99% confidenceinterval. Which has higher precision of estimation on the unknown u? Include your solutions.

Confidence interval for mean is given by, (x̄-z* σ/√n, x̄+z* σ/√n) z at 95% confidence interval is…

Answered: An industrial engineer is analyzing the…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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Here are summary statistics for randomly selected weights of newborn girls: n=36, x=3211.1g, s=689.4g. Use a confidence level of 95% to complete parts (a) through (d) below. a. Identify the critical value tα/2 used for finding the margin of error. tα/2=enter your response here (Round to two decimal places as needed.) Part 2 b. Find the margin of error. E=enter your response here g (Round to one decimal place as needed.) Part 3 c. Find the confidence interval estimate of μ. enter your response here g<μ<enter your response here g (Round to one decimal place as needed.) Part 4 d. Write a brief statement that interprets the confidence interval. Choose the correct answer below. A. One has 95% confidence that the interval from the lower bound to the upper bound contains the true value of the population mean weight of newborn girls. B. One has 95% confidence that the sample mean weight of newborn girls is equal to the population mean weight of…
The minimum sample size needed to estimate a population mean within 2 units with a 95% confidence when the population standard deviation equals 8 is A. 62 OB. 9 C. 8 O D. 61 A random sample of 64 observations has a mean of 30. The population variance is assumed to be 9. The 85.3% confidence interval estimate for the population mean (to the third decimal place) is O A. (28.369, 31.631) O B. (29.383, 30.617) O C. (29.456, 30.544) O D. (28.560, 31.440)
A telephone poll of 841 adult Americans was reported in an issue of Time Magazine. One of the questions asked was, "What is the main problem facing the country?" Forty percent answered, "crime." Construct a 88% confidence interval for the population proportion of Americans who feel that crime is the main problem.p'=α2=zα2=Margin of Error: E=We are 88% confident that the proportion of Americans who feel that crime is the main problem is between____ and ____.
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A doctor wants to estimate the mean HDL cholesterol of all 20- to 29-year-old females. How many subjects are needed to estimate the mean HDL cholesterol within 3 points with 99% confidence assuming s = 14.7 based on earlier studies? Suppose the doctor would be content with 95% confidence. How does the decrease in confidence affect the sample size required? Click the icon to view a partial table of critical values. subjects. (Round up to the nearest subject.) subjects. (Round up to the nearest subject.) A 99% confidence level requires A 95% confidence level requires How does the decrease in confidence affect the sample size required? O A. Decreasing the confidence level increases the sample size needed. B. The sample size is the same for all levels of confidence. OC. Decreasing the confidence level decreases the sample size needed. ...
You have been asked to study the weight of hogs, to see if they are achieving a target weight of 750 pounds after a move to a lower-cost feedstock. You have the following information: • Hộ H = 750 pounds • H: u = 750 pounds • Critical value: Reject Ho if x bar 780 pounds • Sample error for your data = 15.811 pounds (based on a population standard deviation of 50 pounds and a sample size of 10) Assume that the weights follow a normal distribution. What would be your Type I Error to be concerned about in this test (to 3 decimal places)? Answer: What would be your Type II Error, if the actual population mean turns out to be 810 pounds? Answer:
A sample of size n=37 is drawn from a population whose standard deviation is a = 43. Find the margin of error for a 90% confidence interval for μ. Round the answer to at least three decimal places. The margin of error for a 90% confidence interval for u is X 5 B 00
A doctor wants to estimate the mean HDL cholesterol of all 20- to 29-year-old females. How many subjects are needed to estimate the mean HDL cholesterol within 2 points with 99% confidence assuming s = 14.8 based on earlier studies? Suppose the doctor would be content with 90% confidence. How does the decrease in confidence affect the sample size required? Click the icon to view a partial table of critical values. A 99% confidence level requires subjects. (Round up to the nearest subject.)
Please solve for the two value listed.
A sample of n = 10 scores has M = 58, s =12.65, and an estimated standard error of 4 points. Which of these values will definitely decrease if the sample size is increased to n = 1007 Show answer choices v
A doctor wants to estimate the mean HDL cholesterol of all 20- to 29-year-old females. How many subjects are needed to estimate the mean HDL cholesterol within 3 points with 99% confidence assuming s = 17.2 based on earlier studies? Suppose the doctor would be content with 90% confidence. How does the decrease in confidence affect the sample size required? Click the icon to view a partial table of critical values. A 99% confidence level requires subjects. (Round up to the nearest subject.) A 90% confidence level requires subjects. (Round up to the nearest subject.) How does the decrease in confidence affect the sample size required? O A. The sample size is the same for all levels of confidence. O B. Decreasing the confidence level decreases the sample size needed. OC. Decreasing the confidence level increases the sample size needed.
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