A small transportation company with only five buses wants to evaluate four typesof tires with respect to wear. Each of the buses runs a different route so that theterrain and driving conditions differ from bus to bus. To control the effect of thevariable, a randomized block design is appropriate. Each bus constitutes ablock, and each tire type constitutes a treatment. One tire of each type isplaced on each bus, with the wheel positions being assigned randomly. The tiresare run for 24,000 kilometers, after which, the tread wear is measured. The dataobtained are given below:Tread Wear (millimeters) of tires for the different busesTreatment (Tire Type)123Blocks (Buses)113.328.416.120.3920.711.91719.120.811.817.11121.51418.112.8251620Are there significant differences in the average tread wear for the four types oftire? Use a .05 level of significance.2345

Answered: Image /qna-images/answer/8c8cfdcc-9b5d-48da-b704-af6e0fe44c39.jpg

Answered: A small transportation company with…

Holt Mcdougal Larson Pre-algebra: Student Edition 2012

1st Edition

ISBN:9780547587776

Author:HOLT MCDOUGAL

Publisher:HOLT MCDOUGAL

Chapter11: Data Analysis And Probability

Section11.4: Collecting Data

Problem 2E

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What is meant by the sample space of an experiment?
The manufacturer of a new racecar engine claims that the proportion of engine failures due to overheating for this new engine, (p1)(p1), will be no higher than the proportion of engine failures due to overheating of the old engines, (p2)(p2). To test this statement, NASCAR took a random sample of 125125 of the new racecar engines and 135135 of the old engines. They found that 88 of the new racecar engines and 55 of the old engines failed due to overheating during the test. Does NASCAR have enough evidence to reject the manufacturer's claim about the new racecar engine? Use a significance level of α=0.05α=0.05 for the test. Step 5 of 6 : Find the P-value for the hypothesis test. Round your answer to four decimal places.
Which of these statements is NOT true regarding a randomized block design experiment? a.) The elements are randomly allocated to treatment and control groups. b.) The sample is divided into participants or subjects and then grouped by a variable of interest. c.) This design has the advantage of controlling for variables that might confound the response. d.) Elements are randomly selected from equal-sized blocks of the total population.
The manufacturer of a new racecar engine claims that the proportion of engine failures due to overheating for this new engine, (p1)(p1), will be no higher than the proportion of engine failures due to overheating of the old engines, (p2)(p2). To test this statement, NASCAR took a random sample of 165165 of the new racecar engines and 145145 of the old engines. They found that 1818 of the new racecar engines and 1212 of the old engines failed due to overheating during the test. Does NASCAR have enough evidence to reject the manufacturer's claim about the new racecar engine? Use a significance level of α=0.01α=0.01 for the test. Step 1 of 6 : State the null and alternative hypotheses for the test. Step 2 of 6: Find the vales of the two sample proportions P1 and P2.Round your answers three decimal places. Step 3 of 6: Compute the weighted estimate p. p(line above). Round your answers to three decimal places. Step 4 of 6: Compute the value of the test statistic. Round your answer to two…
A small transportation company with only five buses wants to evaluate four types of tires with respect to wear. Each of the buses runs a different route so that the terrain and driving conditions differ from bus to bus. To control the effect of the variable, a randomized block design is appropriate. Each bus constitute s a block, and each tire type constitutes a treatment. One tire of each type is placed on each bus, with the wheel positions being assigned randomly. The tires are run for 24,000 kilometers, after which, the tread wear is measured. The data obtained are given below: Are there significant differences in the average tread wear for the four types of tire? Use a .05 level of significance.Show complete solution (not excel or minitab)THANK YOU!
An exercise science major is planning to investigate the hypothesis that diet plus exercise is more effective for weight loss than either diet or exercise alone. She will randomly assign participants to four different conditions based on diet (hi/lo cal) and high/low exercise level. Analysis: ? Ho: ?
Many fast-food restaurants have soft drink dispensers with preset amounts, so that when the operator merely pushes a button for the desired rink the cup is automatically filled. This method apparently saves time and seems to increase worker productivity. A researcher randomly selects 9 workers from a restaurant with automatic dispensers and 9 works from a restaurant with manual dispensers. At a 1% significance level, use the Mann-Whitney U Test to test whether workers with automatic dispensers are significantly more productive. Automatic (Group 1): 153, 128, 143, 110, 152, 168, 144, 137, 118Manual (Group 2): 105, 118, 129, 114, 125, 117, 106, 92, 126 What rank will be given to the observation value, 118 that is in both the automatic and manual groups? (Round answer to 1 decimal). When rounding the U test statistic up to the next value, what is the p-value from the Mann Whitney Table of p-values? (Round to 4 decimal places)
A corporation randomly selects 150 salespeople and finds that 66% who have never taken a self−improvement course would like such a course. The firm did a similar study 10 years ago in which 60% of a random sample of 160 salespeople wanted a self-improvement course. The groups are assumed to be independent random samples. Let π1 and π2 represent the true proportion of workers who would like to attend a self-improvement course in the recent study and the past study, respectively. If the firm wanted to test whether this proportion has changed from the previous study, which represents the relevant hypotheses? A. H0:π1−π2≤0 versus H1:π1−π2>0 B. H0:π1−π2≥0 versus H1:π1−π2<0 C. H0:π1−π2=0 versus H1: π1−π2≠0 D. H0:π1−π2≠0 versus H1:π1−π2=0
The FAA is interested in knowing if there is a difference in the average number of on-time arrivals for four of the major airlines. The FAA believes that the number of on-time arrivals varies by airport, therefore, a randomized block design is used for the study. To control for this variation, they randomly select 100100 flights for each of the major airlines at each of four randomly selected airports and record the number of on-time flights. Can the FAA conclude that there is a significant difference among the average number of on-time arrivals for the four major airlines? The results of the study are as follows. Average Number of On-Time Arrivals Airport Airline A Airline B Airline C Airline D Airport A 9090 8282 8080 8383 Airport B 8282 7070 7474 7979 Airport C 8787 8484 7676 8888 Airport D 9090 7979 7979 9090 Copy DataANOVA Source of Variation SSSS dfdf MSMS Rows 181.6875181.6875 33 60.562560.5625 Columns 278.6875278.6875 33 92.895892.8958 Error…
The FAA is interested in knowing if there is a difference in the average number of on-time arrivals for four of the major airlines. The FAA believes that the number of on-time arrivals varies by airport, therefore, a randomized block design is used for the study. To control for this variation, they randomly select 100100 flights for each of the major airlines at each of four randomly selected airports and record the number of on-time flights. Can the FAA conclude that there is a significant difference among the average number of on-time arrivals for the four major airlines? The results of the study are as follows. Average Number of On-Time Arrivals Airport Airline A Airline B Airline C Airline D Airport A 7070 8585 7474 8383 Airport B 7474 8686 8585 7575 Airport C 8383 8989 8484 8080 Airport D 7070 7373 7272 7474 Copy DataANOVA Source of Variation SSSS dfdf MSMS Rows 287.1875287.1875 33 95.729295.7292 Columns 163.6875163.6875 33 54.562554.5625 Error…
Patients immobilized for a substantial amount of time can develop deep vein thrombosis (DVT), a blood clot in a leg or pelvis vein. DVT can have serious adverse health effects and can be difficult to diagnose. On its website, drug manufacturer Pfizer reports the outcome of a study looking at the effectiveness of the drug Fragmin (dalteparin) in preventing DVT in immobilized patients. Of the 1518 randomly chosen immobilized patients given Fragmin, 42 experienced a complication from DVT. Of the 1473 randomly chosen immobilized patients given a placebo, 73 experienced a complication from DVT. Compute the proportion (risk) of patients experiencing DVT complications for immobilized patients treated with Fragmin. (Enter the proportion with 4 decimal places. DO NOT enter the percent.)
A machine in a factory must be repaired if it produces more than 10% defectives in a day. A random sample of 100 produced items contains 15 defectives, and the supervisor says that the machine must be repaired. Given the aforementioned information and the hypotheses H0: p ≤ 0.1 and H1: p > 0.1, does the sample support the supervisor's decision at the 0.01 significance level?

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