Which of the following correctly describes how the width of a confidence interval for a population mean changes when the population standard deviation is known?O There is no change if just the sample size increases.O The interval widens if the sample size stays the same and confidence level decreases.O The interval narrows if the sample size increases and confidence level stays the same.O The interval narrows if the sample size decreases and confidence level stays the same.O The interval widens if the sample size increases and the confidence level stays the same.

The interval narrows if the sample size increases and confidence level stays the same. Explanation:…

Answered: Which of the following correctly…

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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Assume that you want to construct a 95% confidence interval estimate of a population mean. Find an estimate of the sample size needed to obtain the specified margin of error for the 95% confidence interval. The sample standard deviation is given. Margin of error, Eequals=6.1 grams; sample standard deviation, sequals=65.6grams The required sample size is _______? (Round up to the nearest whole number.
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Cost of Pizzas A pizza shop owner wishes to find the 99% confidence interval of the true mean cost of a large plain pizza. How large should the sample be if she wishes to be accurate to within $0.14? A previous study showed that the standard deviation of the price was $0.18. Round your final answer up to the next whole number. The owner needs at least a sample of pizzas.
13 It is estimated that 80% of Americans go out to eat at least once per week, with a margin of error of 0.03 (for 95% confidence). A 95% confidence interval for the population proportion of Americans who go out to eat once per week or more is ______, ______. a 0.77 0.83 b 0.76 0.84 c 0.75 0.85 d 0.74 0.86
A research scholar wants to know how many times per hour a certain strand of virus reproduces. He wants to construct the 80 % confidence interval with a maximum error of 0.17 reproductions per hour. Assuming that the mean is 12.7 reproductions and the variance is known to be 3.61. what is the minimum sample size required for the estimate? Round your answer up to the next integer. AnswerHow to enter your answer (opens in new window) E Tables E Keypad Keyboard Shortcuts Ne Prev 2021 Hawkes Learning JIS A
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A sample is used to construct a confidence interval for an unknown population Which of the following is the least likely to result in a decrease in the margin of error? Increasing the sample size Increasing the confidence level Decreasing the confidence level A change in the standard deviation of the
K In a random sample of eleven people, the mean driving distance to work was 22.3 miles and the standard deviation was 4.9 miles. Assume the population is normally distributed and use the t-distribution to find the margin of error and construct a 95% confidence interval for the population mean u. Interpret the results. Identify the margin of error. (Round to one decimal place as needed.) Construct a 95% confidence interval for the population mean. (Round to one decimal place as needed.) Interpret the results. Select the correct choice below and fill in the answer box to complete your choice. (Type an integer or a decimal. Do not round.) OA. It can be said that % of the population has a driving distance to work (in miles) that is between the interval's endpoints. O B. % of all random samples of eleven people from the population will have a mean driving distance to work (in miles) that is between the interval's endpoints. OC. With % confidence, it can be said that most driving distances…
Person1 Person2 Person3 Person4 Person5 Person6 Person7 Person8 Person9 Height 72 70 70 72 71 76 74 74 69 Shoe Size 11 10 10 12 10 15 14 13 11 * Confidence level is 95% * find the mean and standard deviation for height * find the mean and standard deviation for shoe size * Construct and interpret a confidence interval to estimate the mean height of the population. write the formula for the confidence interval then substitute the numbers. * Construct and interpret a confidence interval to estimate the mean shoe size of the population. write the formula for the confidence interval then substitute the numbers.
Q.4.1 A recent survey found that 35 people out of a sample of 410 South Africans sufferfrom diabetes. Construct a 95% confidence interval for the true proportion of allSouth Africans who suffer from diabetes. Interpret your answer.Q.4.2 The average age of a sample of 17 South African women who attend yoga classeswas found to be 31 years, with a standard deviation of 3.5 years. Construct a 90%confidence interval for the true average age of all South African women who attendyoga classes. Interpret your answer.Q.4.3 The average time taken by a sample of 68 runners to complete a 10km race was 42minutes. Assuming a population standard deviation of 8.65 minutes, construct a99% confidence interval for the true average time taken by all runners to completethe race. Interpret your answer.Q.4.4 What two conditions will result in the use of the student-t distribution whenconstructing a confidence interval for a population mean?Q.4.5Q.4.5.1 Explain briefly what is meant by the terms; ‘point…

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