A call center is contracted to handle customer service for a majorbank. One manager, Tanisha, bets another manager, Kim, that thevariance of call length on her team is less than Kim's team. Theymeasure 30 calls from each team and find that Tanisha's teamaverages 7.2 minutes per call with a variance of 2.4 minutes andKim's team averages 9.4 minutes per call with a variance of 4.3minutes. Tanisha claims she wins. Assuming that call lengths arenormally distributed, test the claim that Tanisha's team has asmaller variance than Kim's team at a significance of alpha=0.10.p-value = 0.122, Fail to reject the null hypothesisp-value = 0.061, Reject the null hypothesisp-value = 0.427, Reject the null hypothesisp-value = 0.939, Fail to reject the null hypothesis

Hypothesis test :Hypothesis testing can be defined as a statistical tool that is used to identify if…

Answered: A call center is contracted to handle…

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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Katrina Bell, analyst for the Hexaco Oil Company, has been assigned the task of investigating the claim that Hexaco dealers charge more for unleaded gasoline than do independent dealers. Katrina is afraid that if she chooses two independent random samples of stations for each type of dealer, the variability in price due to geographic location might be a factor. To eliminate this source of variability, she chooses a pair of stations : one independent and one Hexaco in close geographic proximity of each region. The results of the sampling are in Sheet 47. What should Katrina conclude at the 0.01 significance level? Hexaco Independent 90,5 89,9 91,9 90,9 92,7 90,9 91,9 90,9 93,6 91,8 89,9 90,9 90,9 90,9 89,8 88,9 88,7 88,9 87,9 88,6 92,7 91,9 Select one:…
Within the MedTech Department, students were randomly assigned to one of two Biostatistics teachers - Ma'am X and Sir Y. After the assignment, Ma'am X had 30 students, and Sir Y had 25 students. At the end of the year, each class took the comprehensive departmental exam. Ma'am X's students had an average test score of 82.5, with a variance of 80; and Sir Y's students had an average test score of 83.9, with a variance of 125. Test the hypothesis that Ma'am X and Sir Y are equally effective teachers. Use a 0.10 level of significance.
If investors want portfolios with small risk (variance), should they look for investments that have positive covariance, have negative covariance, or are uncorrelated? Does a portfolio formed from the mix of three investments have more risk (variance) than a portfolio formed from two?
A correlation of +.20 means that [blank] of the variance in the outcome variable is accounted for by the predictor variable.
A professor in the ISE department claims that there is much more variability in the final exam scores of students taking the introductory statistic course as a requirement than for students taking the course as part of a major in Industrial Engineering (IE).Random samples of 13 non-IE majors (Group 1) and 10 IE majors (Group 2) are taken from the professor's class roster in his large lecture, and the results of the final exam scores show that the variances are 210.2 and 36.5, respectively. Do these data provide sufficient evidence to infer that there are differences in final exam scores between the two groups of students? Carry out an appropriate test of hypotheses at significance level 0.05Answer in 4 decimalsPlease include your calculations- H0- H1- Test Statistic- Value of Test Statistic- What is the numerical value of the critical region? Upper:________, Lower:_________- What is the p-value?- Decision (Reject or Failed to reject)- Conclusion
Suppose that in a certain year, it was reported that the variance in GMAT scores was 14,650. At a recent summit, a group of economics professors met to discuss the GMAT performance of undergraduate students majoring in economics. Some expected the variability in GMAT scores achieved by undergraduate economics students to be greater than the variability in GMAT scores of the general population of GMAT takers. However, others took the opposite view. Suppose the following are GMAT scores for 51 randomly selected undergraduate students majoring in economics. 345 749 427 765 336 777 663 451 787 454 711 544 453 330 718 462 585 658 550 576 771 572 629 591 481 574 510 628 532 411 702 640 686 608 510 509 617 576 546 392 512 571 794 690 581 527 329 451 666 377 720 (a) Compute the mean, variance, and standard deviation of the GMAT scores for the 51 observations. (Round your answers to two decimal places.) x=s2=s= (b) Develop hypotheses to test whether…
Suppose that in a certain year, it was reported that the variance in GMAT scores was 14,650. At a recent summit, a group of economics professors met to discuss the GMAT performance of undergraduate students majoring in economics. Some expected the variability in GMAT scores achieved by undergraduate economics students to be greater than the variability in GMAT scores of the general population of GMAT takers. However, others took the opposite view. Suppose the following are GMAT scores for 51 randomly selected undergraduate students majoring in economics. 345 749 427 767 336 777 663 451 787 454 711 544 453 330 718 462 585 658 550 576 773 572 629 591 481 574 510 628 532 411 702 640 686 608 510 509 617 576 546 392 512 573 794 690 581 527 329 451 666 377 720 (a) Compute the mean, variance, and standard deviation of the GMAT scores for the 51 observations. (Round your answers to two decimal places.) x= ( ) s2=( ) s= ( ) (b) Develop hypotheses…
It is hypothesized that the total sales of a corporation should vary more in an industry with active price competition than in one with duopoly and tacit collusion. In a study of the merchant ship production industry it was found that in 4 years of active price competition, the variance of company A’s total sales was 114.09. In the following 7 years, during which there was duopoly and tacit collusion, this variance was 16.08. Assume that the data can be regarded as an independent random sample from two normal distributions. 1. Test, at the 5% level, the null hypothesis that the two population variances are equal against the alternative that they are not equal.
It is hypothesized that the total sales of a corporation should vary more in an industry with active price competition than in one with duopoly and tacit collusion. In a study of the merchant ship production industry it was found that in 4 years of active price competition, the variance of company A’s total sales was 114.09. In the following 7 years, during which there was duopoly and tacit collusion, this variance was 16.08. Assume that the data can be regarded as an independent random sample from two normal distributions. Test, at the 5% level, the null hypothesis that the two population variances are equal against the alternative that the variance of total sales is higher in years of active price competition.
An experiment was carried out in a major pharmaceutical laboratory and its values were recorded: Calculate the unbiased variance of the data
The service times for customers coming through a checkout counter in a retail store are independentrandom variables with mean 1.5 minutes and the variance 1.0. Approximate the probability that 100customers can be served in less than (a) 2 hours (b) 3 hours of total service time.
To compare the effectiveness of two kinds of bumper guards, two independent random samples of six compact cars were outfitted with one of the two guards (6 cars with type 1 and 6 cars with type 2). Then, each car was run into a concrete wall at 5 mph. The average damage estimate for guard 1 was $1440. We know that the population variance of damage using bumper type 1 is 3632. The guard 2 sample had an average of $1490. We know that the population variance of damage using bumper type 2 is 2020. If we assume the populations are normally distributed, does it appear that the guards differ in effectiveness? Select the correct p-value and decision below. (Use α = 0.05.) a. p-value = 0.0516, fail to reject H0 b. p-value = 0.1032, fail to reject H0 c. p-value = 0.0516, reject H0 d. p-value = 0.9894, fail to reject H0 Clear my choice

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