Two brand of tynes are tested with the follouing nesults: Brands of typres Li fe f tynes in 1000 miles X. 20-25 1. 24 76 25- 30 22 30-35 64 35-40 10 40-45 3. Which brand of tynes have greater average life? Compare the variability and state which brand of tynes would fleet of tricks9 you use on your
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- In the past decade, two presidential elections in the United States have witnessedvery long wait times at precincts (voting stations) in states that ultimately decidedthe election (Florida in 2000 and Ohio in 2004).In Philadelphia as well, some voters complained about the long lines in someprecincts, with most complaints coming from precinct A. In 2004, the averagenumber of voters arriving at Precinct A was 35 per hour and the arrivals of voterswas random with inter-arrival times that had a coefficient of variation of 1 (CVa=1).Philadelphia deployed 1 voting machine in Precinct A. Suppose that each voterspent on average 100 seconds in the voting booth (this is the time needed to casther/his vote using a voting machine), with a standard deviation of 120 seconds.Q1. How long on average did a voter have to wait in line at precinct A in 2004 beforeentering a booth to cast her/his vote?Given the long wait times for Precinct A, the city of Philadelphia is thinking ofalternative solutions to…In the past decade, two presidential elections in the United States have witnessedvery long wait times at precincts (voting stations) in states that ultimately decidedthe election (Florida in 2000 and Ohio in 2004).In Philadelphia as well, some voters complained about the long lines in someprecincts, with most complaints coming from precinct A. In 2004, the averagenumber of voters arriving at Precinct A was 35 per hour and the arrivals of voterswas random with inter-arrival times that had a coefficient of variation of 1 (CVa=1).Philadelphia deployed 1 voting machine in Precinct A. Suppose that each voterspent on average 100 seconds in the voting booth (this is the time needed to casther/his vote using a voting machine), with a standard deviation of 120 seconds. Q3. Under Proposal 1, at precinct A, what would be the ratio of the average numberof people voting (at a booth) over the average number of people in the line(waiting)? Please show and explain this problem.A certain producer of chocolate has some problems with the variability of five suppliers of cocoa. Since the cocoa quality is critical to the final chocolate product, the company has decided to perform a DOE to compare these suppliers. According to experiences with customers, the capacity of detection of any variation is 3.5 units. Estimate the sample size needed to get at least a power of 85%, given that the historical variance of the process is 2.5 units.
- A researcher randomly sampled 30 graduates of an MBA program and recorded data concerning their starting salaries. Of primary interest to the researcher was the effect of gender on starting salaries. The result of the pooled-variance t-test of the mean salaries of the females (Population 1) and males (Population 2) in the sample is given in the accompanying table. The researcher was attempting to show statistically that the female MBA graduates have a significantly lower mean starting salary than the male MBA graduates. Which of these is an appropriate alternative hypothesis? A. H1:μfemales≠μmales B. H1:μfemales>μmales C. H1:μfemales<μmales D. H1:μfemales=μA lot of 75 washers contains 6 defectives whose variability in thickness is unacceptably large. A sample of 10 washers is selected at random without replacement. a. Calculate the variance of (x)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…A random sample of 20 newly-born baby boys showed an average weight of 7.40 pounds while a sample of 25 newly-born baby girls showed a mean weight of 6.50 pounds. If the variance of all newly-born babies are 1.25 pounds, can we say that newly-born baby boys are heavier than newly-born baby girls using the 0.05 level?A researcher wants to examine different online teaching environments by collecting data on 20 students. Half of the students had synchronous class while the other half had asynchronous class. For the students who had the synchronous class, they scored an average of 80 on the final exam with a sample variance of 10. For the students who had the asynchronous class, they scored an average of 78 on the final exam with a sample variance of 18. Determine if there is a significant difference between the average final exam score between the two groups of students. Use a significance level of 5%. What is the alternative hypothesis? Group of answer choices: A.The average final exam score for the asynchronous class is higher than the synchronous class. B. There is no difference in the average final exam score between the asynchronous class and synchronous class. C. There is a difference in the average final exam score between the asynchronous class and synchronous class. D. The…
- A researcher wants to examine different online teaching environments by collecting data on 20 students. Half of the students had synchronous class while the other half had asynchronous class. For the students who had the synchronous class, they scored an average of 80 on the final exam with a sample variance of 10. For the students who had the asynchronous class, they scored an average of 78 on the final exam with a sample variance of 18. Determine if there is a significant difference between the average final exam score between the two groups of students. Use a significance level of 5%. What is the null hypothesis? Group of answer choices: A.) The average final exam score for the asynchronous class is higher than the synchronous class. B.) There is a difference in the average final exam score between the asynchronous class and synchronous class. C.) The average final exam score for the asynchronous class is lower than the synchronous class. D.) There is no difference in the…a sample of 9 days over the past six months showed that a dentist treated the following numbers of patients: 22, 25, 20, 18, 15, 22, 24, 19, and 26. if the number of patientsseen per day is normally distributed, would an analysis of these sample data reject thehypothesis that the variance in the number of patients seen per day is equal to 10? use a.10 level of significance. what is your conclusion?To find out whether a new serum will arrest leukemia, 9 mice, all with an advanced state of the disease are selected. Five mice receive the treatment and 4 do not. Survival times, in years, from the time the experiment commenced are provided. At the .01 level of significance, can the serum be said to be effective. Assue the populations to be normally distributed with equal variances. Let sample 1 be the mice that recieved the treatment and sample 2 be the mice that did not receive treatment . State the null and alternative hypotheses. Survival times (yrs) Treatment 2.1 5.5 1.2 4.4 0.7 Non-treatment 1.9 0.6 2.6 3.3 Identify the critical region. Determine the test statistic State the proper conclusion.
