Recall that a bank manager has developed a new system to reduce the time customers spend waiting to be served by tellers duringpeak business hours. The mean waiting time during peak business hours under the current system is roughly 9 to 10 minutes. Thebank manager hopes that the new system will have a mean waiting time that is less than six minutes. The mean of the sample of 93bank customer waiting times is 2-5.44. If we let udenote the mean of all possible bank customer waiting times using the new systemand assume that o equals 2.44:(a) Calculate 95 percent and 99 percent confidence intervals for u. (Round your answers to 3 decimal places.)95 percent confidence intervals for p is99 percent confidence intervals for u in(b) Using the 95 percent confidence interval, can the bank manager be 95 percent confident that is less than six minutes? Explain.95 percent intervalis16(c) Using the 99 percent confidence interval, can the bank manager be 99 percent confident that is less than six minutes? Explain99 percent interval extends6

The question is about confidence interval.Given :Sample no. of customers ( n ) = 93Sample mean…

Answered: Recall that a bank manager has…

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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The mean number of sick days an employee takes per year is believed to be about 10.5. Members of a personnel department do not believe this figure. They randomly survey ten employees. The number of sick days they took for the past year are as follows: 12; 4; 15; 3; 11; 8; 6; 8; 2; 9. Let x = the number of sick days they took for the past year. Should the personnel team believe that the mean number is ten?
Suppose the following data show the prices of 4 cars with similar characteristics that sold at a recent auction (in thousands of dollars): 5.7, 11.3, 10.4, 12.9. Calculate the mean selling price of the sample. (please express your answer using 2 decimal places)
An online instructor wants to estimate the mean amount of time that students spend in the online homework system on a particular homework assignment. The instructor takes a random sample of 30 students and looks up the amount of time recorded by the system for that assignment.
During a quality assurance check, the actual contents (in grams) of six containers of protein powder were recorded as 1524, 1526, 1499, 1512, 1532, and 1514. (a) Find the mean and the median of the contents. (b) The third value was incorrectly measured and is actually 1518. Find the mean and the median of the contents again. (c) Which measure of central tendency, the mean or the median, was affected more by the data entry error? (a) The mean is (Round to one decimal place as needed.) 1
An adventure company runs two obstacle courses, Fundash and Coolsprint. The designer of the courses suspects that the mean completion time of Fundash is not equal to the mean completion time of Coolsprint. To test this, she selects 240 Fundash runners and 200 Coolsprint runners. (Consider these as random samples of the Fundash and Coolspring runners.) The 240 Fundash runners complete the course with a mean time of 76.7 minutes and a standard deviation of 5.2 minutes. The 200 Coolsprint runners complete the course with a mean time of 77.5 minutes and a standard deviation of 5.4 minutes. Assume that the population standard deviations of the completion times can be estimated to be the sample standard deviations, since the samples that are used to compute them are quite large. At the 0.05 level of significance, is there enough evidence to support the claim that the mean completion time, μ1 , of Fundash is not equal to the mean completion time, μ2 , of Coolsprint?…
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13. Dave likes to grow cucumbers, and each year he experiments with ways to improve his crop. This summer, he wants to determine whether the new fertilizer he has seen advertised will increase the mean number of cucumbers produced per plant. He uses the old fertilizer on 15 cucumber plants and the new fertilizer on the other 13 plants. Over the course of the growing season, he calculates a mean of 17.4 cucumbers per plant for the old fertilizer, with a standard deviation of 2.0 cucumbers. He calculates a mean of 21.6 cucumbers per plant for the new fertilizer, with a standard deviation of 2.7 cucumbers. You may assume that both samples came from populations that are approximately normal. Assume that the population variances are not equal. a. Determine the best point estimate for the true mean difference in cucumber production. Correct notation counts. b. Construct a 95% confidence interval for the true mean difference in cucumber production. For credit, your work must include a…
At a local food processing plant, it used to take an average of 90 minutes for new workers to learn a food processing job. Recently the company installed a new food processing machine. The supervisor at the company wants to find if the mean time taken by new workers to learn the food processing procedure on this new machine is different from 90 minutes. A sample of 20 workers showed that it took, on average, 85 minutes for them to learn the food processing procedure on the new machine. It is known that the learning times for all new workers are normally distributed with a population standard deviation of 7 minutes. Use a significance level of 0.01 to test the claim that the mean time is different from 90 minutes. What is the decision? A) Reject Ho because the test statistic is in the critical region and the p-value is greater than the significance level. B) Reject Ho because the test statistic is not in the critical region and the p-value is greater than the significance level.…
At a local food processing plant, it used to take an average of 90 minutes for new workers to learn a food processing job. Recently the company installed a new food processing machine. The supervisor at the company wants to find if the mean time taken by new workers to learn the food processing procedure on this new machine is different from 90 minutes. A sample of 20 workers showed that it took, on average, 85 minutes for them to learn the food processing procedure on the new machine. It is known that the learning times for all new workers are normally distributed with a population standard deviation of 7 minutes. Use a significance level of 0.01 to test the claim that the mean time is different from 90 minutes. What is the test statistic? A) -7.01 B) -2.539 C) -3.19 D) -2.528 E) -1.96
During a quality assurance check, the actual contents (in grams) of six containers of protein powder were recorded as 1524, 1526, 1499, 1512, 1532, and 1514. (a) Find the mean and the median of the contents. (b) The third value was incorrectly measured and is actually 1518. Find the mean and the median of the contents again. (c) Which measure of central tendency, the mean or the median, was affected more by the data entry error? (a) The mean is 1517.8. (Round to one decimal place as needed.) The median is 1519 (Type an integer or a decimal. Do not round.) (b) The mean is 1521 (Round to one decimal place as needed.) The median is 1521 (Type an integer or a decimal. Do not round.) (c) After correcting the error, the mean affected more. (Round to one decimal place as needed.) by and the median by The was

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