Dimwit, a social media company, wants to become more competitive in the marketplace. They have developed an algorithm that tracks theresponse and resolution times when customers call for technical support. The company has a service standard of 4 days for the mean resolutiontime with the standard deviation of 10.3 days. However, the Director of the technical support group has been receiving some complaints of longresolution times. During one week, a sample of 36 customer calls resulted in a sample mean of 5.3. Even though the sample mean exceeds the4-day standard, does the manager have sufficient evidence to conclude that the mean service time exceeds 4 days, or is this particular samplemean simply a result of sampling error? Use a significance level equal to 1% to test your hypothesis.

Given : sample size, n =36 sample mean, x̄ =5.3 population standard…

Answered: Dimwit, a social media company, wants…

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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Suppose an airline claims that its flights are consistently on time with an average delay of at most 15 minutes. It claims that the average delay is so consistent that the variance is no more than 15 minutes. Doubting the consistency part of the claim, a disgruntled traveler calculates the delays for his next 25 flights. The average delay for those 25 flights is 22 minutes with a standard deviation of 15 minutes.
It currently takes users a mean of 26 minutes to install the most popular computer program made by RodeTech, a software design company. After changes have been made to the program, the company executives want to know if the new mean is now different from 26 minutes so that they can change their advertising accordingly. A simple random sample of 51 new customers are asked to time how long it takes for them to install the software. The sample mean is 24.9 minutes with a standard deviation of 2.7 minutes. Perform a hypothesis test at the 0.025 level of significance to see if the mean installation time has changed. Step 3 of 3 : Draw a conclusion and interpret the decision.
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Every year, all incoming high school freshmen in a large school district take a math placement test. For this year’s test, the district has prepared two possible versions: Version 1 that covers more material than last year’s test and Version 2 test that is similar to last year’s test. The district suspects that the mean score for Version 1 will be less than the mean score for Version 2. To examine this, over the summer the district randomly selects 90 incoming freshmen to come to its offices to take Version 1, and it randomly selects 75 incoming freshmen to come take Version 2. The 90 incoming freshmen taking Version 1 score a mean of 113.0 points with a standard deviation of 16.8 . The 75 incoming freshmen taking Version 2 score a mean of 117.0 points with a standard deviation of 18.5 . Assume that the population standard deviations of the test scores from the two versions can be estimated to be the sample standard deviations, since the samples that are…
A SimAirlines aircraft that flies between BWI and San Diego airport has 100 seats, and there are two types of fares: full ($500) and discount ($300). Although there is an unlimited demand for the discount fare, demand for the full fare is estimated to be normally distributed with mean 24 seats and standard deviation 16 seats. To maximize the revenue generated from this flight, how many seats SimAirlines should protect for full-fare passengers?
It currently takes users a mean of 5 minutes to install the most popular computer program made by RodeTech, a software design company. After changes have been made to the program, the company executives want to know if the new mean is now different from 5 minutes so that they can change their advertising accordingly. A simple random sample of 46 new customers are asked to time how long it takes for them to install the software. The sample mean is 4.7 minutes with a standard deviation of 1.1 minutes. Perform a hypothesis test at the 0.10 level of significance to see if the mean installation time has changed. Step 3 of 3: Draw a conclusion and interpret the decision. E Tables E Keypad Answer Keyboard Shortcuts We reject the null hypothesis and conclude that there is insufficient evidence at a 0.10 level of significance that the new mean installation time is different from 5 minutes and that RodeTech may need to change their advertising. We fail to reject the null hypothesis and conclude…
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It currently takes users a mean of 26 minutes to install the most popular computer program made by RodeTech, a software design company. After changes have been made to the program, the company executives want to know if the new mean is now different from 26 minutes so that they can change their advertising accordingly. A simple random sample of 37 new customers are asked to time how long it takes for them to install the software. The sample mean is 27.9 minutes with a standard deviation of 7.7 minutes. Perform a hypothesis test at the 0.05 level of significance to see if the mean installation time has changed. Step 2 of 3: Compute the value of the test statistic. Round your answer to three decimal places.
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