A consumer products testing group is evaluating two competing brands of tires, Brand 1 and Brand...
Fantastic news! We've Found the answer you've been seeking!
Question:
Transcribed Image Text:
A consumer products testing group is evaluating two competing brands of tires, Brand 1 and Brand 2. Tread wear can vary considerably depending on the type of car, and the group is trying to eliminate this effect by installing the two brands on the same random sample of 12 cars. In particular, each car has one tire of each brand on its front wheels, with half of the cars chosen at random to have Brand 1 on the left front wheel, and the rest to have Brand 2 there. After all of the cars are driven over the standard test course for 20,000 miles, the amount of tread wear (in inches) is recorded, as shown in Table 1. Difference Car Brand 1 Brand 2 (Brand 1 - Brand 2) 0.352 0.288 0.064 2. 0.318 0.378 -0.060 0.272 0.194 0.078 4. 0.376 0.336 0.040 0.321 0.314 0.007 6. 0.271 0.330 -0.059 0.325 0.266 0.059 0.316 0.312 0.004 0.252 0.223 0.029 10 0.243 0.260 -0.017 11 0.358 0.369 -0.011 12 0.338 0.277 0.061 Table 1 Based on these data, can the consumer group conclude, at the 0.05 level of significance, that the mean tread wears of the brands differ? Answer this question by performing a hynothesis test regarding , (which is u with a letter "d" subscript), the population mean difference in tread wear for the two brands of tires. Assume that this population of differences (Brand 1 minus Brand 2) is normally distributed. Perform a two-tailed test. Then fill in the table below. Carry your intermediate computations to at least three decimal places and round your answers as specified in the table, (If necessary, consult a list of formulas.-) vPHIBSm12uyLCtearlkCnhmG0buHbVF2nq1RdUu9bBtcRxSTVavorVXwo?1oBw7QYjlbavbSPXtx-YCjsh_7mMm O CONFIDENCE INTERVALS AND HYPOTHESIS TESTING Hypothesis test for the difference of population means: Paired... Emmanuel V 0.338 0.277 0.061 Table 1 Based on these data, can the consumer group conclude, at the 0.05 level of significance, that the mean tread wears of the brands differ? Answer this question by performing a hypothesis test regarding u, (which is u with a letter "d" subscript), the population mean difference in tread wear for the two brands of tires. Assume that this population of differences (Brand 1 minus Brand 2) is normally distributed. Perform a two-tailed test. Then fill in the table below. Carry your intermediate computations to at least three decimal places and round your answers as specified in the table. (If necessary, consult a list of formulas.) Aa The null hypothesis: H. S. The alternative hypothesis: H :0 ロ=ロ OSO The type of test statistic: (Choose one) O<O The value of the test statistic: (Round to at least three decimal places.) The two critical values at the 0.05 level of significance: (Round to at least three decimal places.) | and | At the 0.05 level, can the consumer group conclude that the mean tread wears of the brands differ? O Yes No Activate Windos Go to Settings to act Ws Check Explanation 2020 McGraw-Hill Education, All Rights Reserved Terms of Use | Privacy Accessibility 2:18 11/28 Type here to search P. A consumer products testing group is evaluating two competing brands of tires, Brand 1 and Brand 2. Tread wear can vary considerably depending on the type of car, and the group is trying to eliminate this effect by installing the two brands on the same random sample of 12 cars. In particular, each car has one tire of each brand on its front wheels, with half of the cars chosen at random to have Brand 1 on the left front wheel, and the rest to have Brand 2 there. After all of the cars are driven over the standard test course for 20,000 miles, the amount of tread wear (in inches) is recorded, as shown in Table 1. Difference Car Brand 1 Brand 2 (Brand 1 - Brand 2) 0.352 0.288 0.064 2. 0.318 0.378 -0.060 0.272 0.194 0.078 4. 0.376 0.336 0.040 0.321 0.314 0.007 6. 0.271 0.330 -0.059 0.325 0.266 0.059 0.316 0.312 0.004 0.252 0.223 0.029 10 0.243 0.260 -0.017 11 0.358 0.369 -0.011 12 0.338 0.277 0.061 Table 1 Based on these data, can the consumer group conclude, at the 0.05 level of significance, that the mean tread wears of the brands differ? Answer this question by performing a hynothesis test regarding , (which is u with a letter "d" subscript), the population mean difference in tread wear for the two brands of tires. Assume that this population of differences (Brand 1 minus Brand 2) is normally distributed. Perform a two-tailed test. Then fill in the table below. Carry your intermediate computations to at least three decimal places and round your answers as specified in the table, (If necessary, consult a list of formulas.-) vPHIBSm12uyLCtearlkCnhmG0buHbVF2nq1RdUu9bBtcRxSTVavorVXwo?1oBw7QYjlbavbSPXtx-YCjsh_7mMm O CONFIDENCE INTERVALS AND HYPOTHESIS TESTING Hypothesis test for the difference of population means: Paired... Emmanuel V 0.338 0.277 0.061 Table 1 Based on these data, can the consumer group conclude, at the 0.05 level of significance, that the mean tread wears of the brands differ? Answer this question by performing a hypothesis test regarding u, (which is u with a letter "d" subscript), the population mean difference in tread wear for the two brands of tires. Assume that this population of differences (Brand 1 minus Brand 2) is normally distributed. Perform a two-tailed test. Then fill in the table below. Carry your intermediate computations to at least three decimal places and round your answers as specified in the table. (If necessary, consult a list of formulas.) Aa The null hypothesis: H. S. The alternative hypothesis: H :0 ロ=ロ OSO The type of test statistic: (Choose one) O<O The value of the test statistic: (Round to at least three decimal places.) The two critical values at the 0.05 level of significance: (Round to at least three decimal places.) | and | At the 0.05 level, can the consumer group conclude that the mean tread wears of the brands differ? O Yes No Activate Windos Go to Settings to act Ws Check Explanation 2020 McGraw-Hill Education, All Rights Reserved Terms of Use | Privacy Accessibility 2:18 11/28 Type here to search P.
Expert Answer:
Related Book For
Data Analysis and Decision Making
ISBN: 978-0538476126
4th edition
Authors: Christian Albright, Wayne Winston, Christopher Zappe
Posted Date:
Students also viewed these mathematics questions
-
A sporting goods store sells two competing brands of exercise bicycles. Let X1 and X2 be the numbers of the two brands sold on a typical day at this store. Based on available historical data, the...
-
Different equity accounts are used depending on the type of organisational structure of the business. Illustrate and explain.
-
Lolastar Co. is evaluating two competing investment projects. They both require an investment of $25 million. The company cost of capital is 10 percent for projects of this type. The expected cash...
-
Being able to identify an industry to use for benchmarking yourfirm's results with similar companies is frequently not easy. Choose a type of business and go to www.naics.com. This Web site allows...
-
Four chairs are placed in a row; two of them are red and look identical; the other two are blue and look identical. a. How many outcomes are in the sample space? What are they? b. How many different...
-
If the returns from a security were known with certainty, what shape would the probability distribution of returns graph have?
-
How might an organization estimate the direct and indirect benefits of a new HRIS that decreases the time required by employees to complete transactions of the HR department through the...
-
Consider the perpendicular rectangles shown schematically. (a) Determine the shape factor F 12 . (b) For rectangle widths of X = 0.5, 1.5, and 5 m, plot F 12 as a function of Z b for 0.05 Z b 0.4m....
-
Mr. Ironman sent an email to Mr. Spiderman and ask him Will you sell Unit # 801 of your Highrise apartment building, quote the lowest price. To which Mr. Spiderman replied, Lowest price for unit #801...
-
From the following information for Russo Merchandising Co., calculate inventory turnover for 2024 and 2023 and days sales in inventory at December 31, 2024 and 2023. Round answers to one decimal...
-
A transmission shaft is supported on two bearings which are 1m apart.Power is supplied to the shaft by means of a flexible coupling, which islocated to the left of left hand bearing. Power is...
-
When a full cost company impairs unproved properties, whether individually significant or not, the impairment is recorded by the following: a. Debiting an impairment account b. Debiting impairment...
-
Which costs or reserves must or may be excluded from amortization for full cost? (Choose all that apply.) a. All acquisition and evaluation costs directly associated with unproved properties other...
-
What is a conditional ARO? How are conditional AROs to be accounted for?
-
Are the following statements true or false? a. Full cost companies do not book AROs. b. An oral agreement to dismantle equipment and restore the environment at the end of the productive life of a...
-
Refer to Figure 10.72. Assume that the resistances obey the linear relation, so that the mass flow q l through the left-hand resistance is q l = (p l p)/R l , with a similar linear relation for the...
-
DM used $45,000 - Direct Labor $30,000 - Fixed factory Overhead $42,000 - google - Fixed Selling and Administrative expenses $8,000 - Variable Factory Overhead $28,000 - Variable Selling and...
-
Consider the sections of two circuits illustrated above. Select True or False for all statements.After connecting a and b to a battery, the voltage across R1 always equals the voltage across R2.Rcd...
-
Howies Bakery is one of the most popular bakeries in town, and the favorite at Howies is French bread. Each day of the week, Howies bakes a number of loaves of French bread, more or less according to...
-
The file P12_16.xlsx contains the daily closing prices of American Express stock for a one-year period. a. Use the random walk model to forecast the closing price of this stock on the next trading...
-
The file S02_55.xlsx contains monthly retail sales of beer, wine, and liquor at U.S. liquor stores. a. Is seasonality present in these data? If so, characterize the seasonality pattern and then...
-
A rifle is aimed horizontally at a target \(100 \mathrm{~m}\) away, and the bullet leaves the rifle barrel at \(650 \mathrm{~m} / \mathrm{s}\). If the gun is aimed right at the bull's-eye, by how...
-
On a rifle that has a telescopic sight, the telescope is usually not parallel to the barrel of the rifle. The angle the telescope makes with the barrel has to be adjusted for the distance to the...
-
A package is dropped from a helicopter traveling at \(15 \mathrm{~m} / \mathrm{s}\) (horizontally) at an altitude of \(200 \mathrm{~m}\), but the parachute attached to the package fails to open. (a)...
Study smarter with the SolutionInn App