23 The measure of one exterior angle of a regular polygon is equal to 45°. What is the measure of one of the interior angles of this polygon? A 8 B) 135 45° (D) 172
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- A consumer-testing agency wants to evaluate the claim made by a manufacturer of discount tires. The manufacturer claims that its tires can be driven at least 35,000 miles before wearing out. To determine the average number of miles that can be obtained from the manufacturer’s tires, the agency randomly selects 60 tires from the manufacturer’s warehouse and places the tires on 15 cars driven by test drivers on a 2-mile oval track. The number of miles driven (in thousands of miles) until the tires are determined to be worn out is given in the following table. Car Miles Driven 1 25 2 27 3 35 4 42 5 28 6 37 7 40 8 31 9 29 10 33 11 30 12 26 13 31 14 28 15 30 Average 31.47 Standard 5.04 Agency would like to know if the manufacturer’s claim is false. Carryout an appropriate hypothesis test (use 1% significance level). Check any assumptions you think are relevant before doing the text.A consumer testing agency wants to evaluate the claim made by a manufacturer of discount tires. The manufacturer claims that its tires can be driven at least 35,000 miles before wearing out. To determine the average number of miles that can be obtained from the manufacturer’s tires, the agency randomly selects 60 tires from the manufacturer’s warehouse and places the tires on 15 cars driven by test drivers on a 2-mile oval track. The number of miles driven (in thousands of miles) until the tires are determined to be worn out is given in the following table. Car 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 n y s Miles Driven 25 27 35 42 28 37 40 31 29 33 30 26 31 28 30 15 31.47 5.04 a. Place a 99% confidence interval on the average number of miles driven, m, prior to the tires wearing out. b. Is there significant evidence (a 5 .01) that the manufacturer’s claim is false? What is the level of significance of your test? Interpret your findings.Let Y be the number of distinct numbers showing when three fair dice are rolled. Find the pmnf and mean of Y.
- Gap, Banana Republic, J. Crew, Yahoo, and America Online are just a few of the many companies interested in knowing the percentage of adults who buy clothing online. How many adults must be surveyed in order to be 95% confident that the sample percentage is in error by no more than three percentage points? Use this recent result from the Census Bureau: 66% of adults buy clothing online.The recidivism rate for convicted sex offenders is 9%. A warden suspects that this percent is higher if the sex offender is also a drug addict. Of the 347 convicted sex offenders who were also drug addicts, 42 of them became repeat offenders. What can be concluded at the αα = 0.10 level of significance?A medical researcher wishes to try three different techniques to lower cholesterol levels of patients with highcholesterol levels. The subjects are randomly selected and assigned to one of three groups. Group 1 is givenmedication, Group 2 is given an exercise program, and Group 3 is assigned a diet program. At the end of sixweeks, each subject's cholesterol level is recorded. Use the printout from Minitab to make a decision andconcluesion about the mean cholesterol levels found in the groups after the different techniquess were applied.Use΅= 0.05. Group 1 9, 12, 11, 15, 13, 8 Group 2 8, 3, 2, 5, 4, 0 Group 3 6, 12, 4, 4, 9, 8 A) Hypothesis Ho : Ha : B) Decision to reject or fail to reject Ho based on the Minitab printout. C) Conclusion about the problem statement as it pertains to cholesterol and the groups.
- An article comparing the value of several popular Caribbean resorts collected the following data: price per night, amenities (pool, weight room, etc.), whether the resort was all inclusive or not, location (beach, inland, etc.), average room size (square feet), and resort size (acres). Choose the best answer below: A. Price per night, quantitative, dollars; amenities, categorical; all inclusive or not, quantitative, yes or no; location, categorical; average room size, quantitative, square feet. B. Price per night, quantitative, dollars; amenities, categorical; all inclusive or not, categorical; location, categorical. C. Amenities, categorical; all inclusive or not, categorical; location, quantitative, feet; average room size, quantitative, square feet; resort size, quantitative, acres. D. Price per night, categorical; amenities, categorical; all inclusive or not, categorical; location, categorical; average room size, quantitative, square feet; resort…Camille believes that 50% of first-time brides in the United States are younger than their grooms. She performs a hypothesis test to determine if the percentage is the same or different from 50%. Camille samples 100 first-time brides and 53 reply that they are younger than their grooms. For the hypothesis test, she uses a 3% level of significance.Data collected by the Oil Price Information Service from more than 90,000 gasoline and convenience stores throughout the U.S. showed that the average price for a gallon of unleaded gasoline was $3.28 (MSN Auto website, February 2, 2014). The following data show the price per gallon ($) for a sample of 20 gasoline and convenience stores located in San Francisco.
- It has been said that the overall number of male and female customers in a retail outlet specializing in the sales of slacks and jeans are equal. A survey was conducted and found out that out of 95 customers, 45 are female and 50 are males. Can we say that the male and female customers are equal in number? Use a 5% level of significance.“PhysicalFun” is a physical center which opens 24 hours per day. Each member of “PhysicalFun” has anaccess card. Members would be charged in a weekly basic (Sunday 12:00a.m. to Saturday 11: 59 p.m.)according to the accumulated number of hours of facilities used within a week. The weekly basic charge is$150 with an additional charge of $30 per hour. According to the company record, the number of hours amember spends in “PhysicalFun” in a week is normally distributed with mean 15 hours and standard deviation2.8 hours.(a) What are the average and standard deviation of weekly charge of a member?(b) Suppose the middle 85% of weekly charge of a member is denoted by $(L1, L2). Find the values of L1and L2.(c) The senior management suggests fixing the weekly charge per member at $700. Assume the numberof hours a member spends in “PhysicalFun” would not be changed due to the change of the weekly chargecalculation method. What proportion of members would pay more money than the original…Ministry of economic development conducted a survey to determine why people go to trade shows. The respondents were asked to rate a series of reasons on a scale from 1 to 5, with 1 representing little importance and 5 representing great importance. One of the reasons suggested was general curiosity. Responses for 50 people from the electronics industry results in a sample mean of 1.96 and 50 people from the food industry results in a sample mean of 3.02 for general curiosity. Use the data and α = 0.01 to determine whether there is a significant difference between people in these two industries on this question. Assume the variance for the electronics population is 1.0188 and the variance for the food population is 0.9180. Clearly state your null and alternate hypothesis. State the decision rule. Show the calculation of the test statistic. Give your answer to 2 decimal places where appropriate. State the statistical conclusion and explain the result in context of the question.
