Allied Corporation is trying to determine whether to purchase Machine A or B. It has leased the two machines for amonth. A random sample of 5 employees has been taken. These employees have gone through a training session onboth machines. Below you are given information on their productivity rate on both machinesProductivity RatePerson345Machine A4951545147Machine B25485476053Using a 01, test the hypothesis that productivity rate on Machine A and Machine B are different using bothp-value and rejection point approach.

It is required to test whether the productivity rates on Machines A and B are different at α = 0.01,…

Answered: Allied Corporation is trying to…

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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A substance abuse counselor wants to demonstrate the effect of situational stress on alcohol cravings. He recruits two groups of men who are similar in respect to history of alcohol use and demographic variables. He divides them in to two groups. In one group(n=11), the men are exposed to a stressful situation and then asked to complete a measure rating their alcohol cravings on a scale from 0-10, where 0 representsno cravings and 10 represents intense cravings. In the second group (n=10), the men are exposed to a neutral situation and asked to complete the same measure. What test and graph should I create to find out if a stressful situation result in more intense alcohol cravings than a non-stressful situation?
Suppose you are conducting a paired t test to determine whether or not caffeine has an effect on heart rate. You have a sample of 60 participants and they ingest no caffeine each day for a week. At the end of the week, you measure their heart rates and find the mean. Then, the same 60 participants are given 500mg of caffeine every day for a week and again, at the end of the week you measure their heart rates and find the mean. What would the null hypothesis be for this test?
Two different blood pressure medicines are being compared to determine if the average reduction in blood pressure is the same for each medication. The goal of the study is to determine if the medications differ. Twenty men age 50-60 years old are selected for the study. Ten men are chosen at random to receive the first medication and the other 10 men receive the second medication. Each of the 20 men is monitored for one month to determine the change in blood pressure over that time. Minitab provides the 95% confidence interval for (mu1 - mu2) (2.63, 14.18) a. Interpret this 95% CI. b. What assumptions (be specific) are necessary to construct this CI?
The authors of a paper randomly selected two samples of patients admitted to the hospital after suffering a stroke. One sample was selected from patients who received biofeedback weight training for 8 weeks, and the other sample was selected from patients who did not receive this training. At the end of 8 weeks, the time it took (in seconds) to stand from a sitting position and then to sit down again (called sit-stand-sit time) was measured for the people in each sample. Data consistent with summary quantities given in the paper are given below. For purposes of this exercise, you can assume that the samples are representative of the population of stroke patients who receive the biofeedback training and the population of stroke patients who do not receive this training. Biofeedback Group 2.1 2.8 4.5 2.3 2.9 4.3 3.4 4.2 3.4 3.7 3.0 3.7 3.7 2.5 3.3 No Biofeedback Group 5.2 4.8 4.0 4.3 4.8 4.4 4.3 5.2 3.5 4.3 5.2 4.5 4.1 3.5 4.0 Conduct a test of hypothesis to test whether…
Twenty samples of students from the first year were taken for the study related to fitness level in a university. The researcher has collected the data for a few variables: gender and fitness test score. Fitness Camp No Gender Fitness score Fitness score (Before Attend camp) (After Attend camp) 1 M 444 526 2 F 780 862 3 F 475 557 4 F 490 572 5 M 755 837 6. M 766 848 7 F 540 622 8 M 623 705 9. F 600 682 10 620 702 11 505 590 12 M 640 725 13 F 523 608 14 F 700 785 15 M 710 795 16 M 726 811 17 M 740 825 18 F 550 635 19 F 685 770 20 F 460 545 Range of Fitness Score: 0 to 900 1. Determine whether this set of data is sample or population? Why? Which formulae to be used when calculating the standard deviation of fitness score before and after camp 2. Calculate the standard deviation for fitness score before and after students attended the fitness camp for the whole samples using the formula in (1) 3. Based on the sample standard deviation in part (2), explain whether the fitness camp can…
Scientists are interested in the placebo effect on adults with arthritis. They randomly choose 15 adults with arthritis and give them 2 treatments: effective drug and placebo for 1 week at different times. At the end of each week, the scientists ask the participants to rate their arthritic pain level on a scale of 1-5, where 1 is little pain and 5 is a lot of pain. The researchers then take the difference of their pain levels (affective drug - placebo). The data are below. 0, 1, 2, 2, 0, -1, 3, 1, 2, -1, 0, 1, -2, -1, -6 (a) Find the 5-number summary for the difference of arthritic pain levels. Minimum = Q₁ = Median = USE SALT Q3 = Maximum = (b) One of the conditions for inference for population mean difference of paired data is normality. Outliers within a data set cast a shadow of doubt upon the normality of the population distribution. Use the 5-number summary calculated in part (a) to determine if there are any outliers in the data set. Which of the values, if any, is an outlier…
A group of statisticians decides they will answer the question: Has the wolf reintroduction to Yellowstone been detrimental to elk herds in the park? They decide that each of the four data scientists will take a quadrant of the park to collect a sample from as randomly as possible. They decide they will collect the sample during the winter, the time the elk herds are most stressed. They agree to trust each others professional judgement when it comes to the health of the individual elk in the herd. They will give each elk a grade out of 3pts: 1 pt for sick, 2pts for fair, and 3pts for healthy. They then share their data and compare to create a final report on the overall health of the elk in the park. In this scenario, what kind of random sampling did the statisticians use?
The authors of a paper randomly selected two samples of patients admitted to the hospital after suffering a stroke. One sample was selected from patients who received biofeedback weight training for 8 weeks, and the other sample was selected from patients who did not receive this training. At the end of 8 weeks, the time it took (in seconds) to stand from a sitting position and then to sit down again (called sit-stand-sit time) was measured for the people in each sample. Data consistent with summary quantities given in the paper are given below. For purposes of this exercise, you can assume that the samples are representative of the population of stroke patients who receive the biofeedback training and the population of stroke patients who do not receive this training. Biofeedback Group 2.2 2.9 4.6 2.4 3.0 4.4 3.5 4.3 3.5 3.8 3.1 3.8 3.8 2.6 3.4 No Biofeedback Group 5.2 4.8 4.0 4.3 4.8 4.4 4.3 5.2 3.5 4.3 5.2 4.5 4.1 3.5 4.0 Conduct a test of hypothesis to test whether…
A test is being designed to compare the wearing quality of two brands of tires, say brand A and brand B. Six automobiles will be selected and equipped with the new tires from both brands and driven under normal conditions for 1 month. A measurement will be taken to determine how much wear took place on a scale from 0 to 200. Below is a table of the paired data collected from the 6 cars in the test. [BrandA BrandB] 125 64 64 65 94 103 38 37 90 102 106 115 Conduct a hypothesis test to determine whether the mean of the difference population is 0 at a significance level of a =. State your conclusion.
Professor Rouge wants to see if the color red increases people's attraction. For all participants, she shows them someone in a red shirt, someone in a blue shirt, and someone in a green shirt - and the participant rates each person from 1-10 in terms of their attractiveness. The data that she collected are below. Conduct the appropriate statistic in order to test her hypothesis. Include calculations of the effect size. Report your findings in a brief paragraph (a complete paragraph, like the one from class) and include the two tables that we did in class. Participant Red Green Blue 1 7 2 6. 10 7 6. 4 8 Upload Choose a File 6.
A personal trainer wanted to test the effectiveness of two different workout routines. She took a random sample of 70 of her clients and, in a random order, had them complete one of the two routines for two weeks. Then, after a one-month waiting period, she asked them to come back and do the other routine for two weeks. After each two-week period of the exercise routines, she measured their performance on a physical fitness aptitude test. She found the average difference in aptitude scores between the two routines for each client was 30.4 with a standard error of 3.2. What would be her 85% confidence interval for the average difference in the effectiveness of the two routines? (3 decimal places) ( , )
A child psychologist believe that controlled physical outbursts of anger (like punching a pillow) may improve the mood of young boys with emotional impairment. He believes that the proportion of boys who benefit from the treatment is greater than the proportion of girls. A random sample from each population receives counseling in the treatment and is asked about their mood after an episode (x is the number of test subjects that reported an improvement in mood). The results of the study are summarized in the table below. Boys n1 = 200 Girls n2 = 210 %3D %3D X1 = 35 X2 = 28 Blank #1: Find the two sample proportions, reporting each as a decimal, rounded to two decimal places. Do the initial (untested) findings show what the researcher expected? Enter your answer as a list of 3 items: P1, P2, yes or no. Do not add any extra spaces and pay attention to rounding. For example, a valid answer may look like .52,.14,yes or .25,.50,no. Untested, you compared them but you could have done that…

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