2. To appeal to customers that are trying to cut calories, a company that sells orange juice decides to market apremium juice, "OJ 50", which has half as many calories as traditional orange juice. The ingredient listingreveals that OJ 50 consists of 50% water and 50% orange juice. Besides misleading customers to pay morefor less orange juice, a consumer group believes that the product actually consists of greater than 50%water. To test this claim they select a random sample of 50 bottles of their 52-ounce OJ 50 and deteminethe proportion of each that is water. They decide to use a=0.05.(a) State appropriate hypotheses for performing a significance test.(b) Describe what a Type I error would be in this context.(c) What is the probability of making a Type I eror when performing this test?(d) Describe what a Type II error would be in this context.(e) Which error (Type I or Type II) is more serious for the company that produces OJ 50? Explain.

In order to test the consumer group belief, determine whether the population proportion of water in…

Answered: To appeal to customers that are trying…

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 national forest service wanted to estimate the number of deer in a particular national park. They cotton tag 71 deer and release him back into the park. Later they selected a sample of 272 deer. Of the 272 dear, 17 were tagged, assuming that the portion of tag deer and the sample holds for all deer in the forest, what is the best estimate of the number of deer in the park?
A study was undertaken to see how accurate food labeling for calories on food considered as reduced-calorie. The group measured the amount of calories for each item of food and then found the percent difference between measured and labeled food
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Bjork Larsen was trying to decide whether to use a new racing wax for cross-country skis. He decided that the wax would be worth the price if he could average less than 55 seconds on a course he knew well, so he planned to study the wax by racing on the course 8 times. The raw data aregiven below. 43.2, 46.5, 50.5, 52.2, 52.4, 56.3, 57.8, 63.9. (a) Describe what the parameter μ represents. (b) Calculate a level 99% confidence interval for μ. Round to two decimal places. (c) Give a practical interpretation for this confidence interval using the context of thisproblem. (d) Is the new racing wax worth the price? Explain.
A researcher working at Hershey's is interested in comparing two new chocolate bars: Chocolate Bar A versus Chocolate Bar B. The researcher expects the bars to be different in how much customers will eat per month. The researcher believes the more candy bars someone eats will indicate which one tastes the best. An experiment is designed to compare the two new bars. The number of candy bars eaten by one group of 8 people in a month is measured with Candy Bar A and then the number of candy bars eaten in the same month by another group of 8 participants is measured with Candy Bar B. Use the data below to determine if there is a difference in the consumption of the two candy bars. Candy Bar A Candy Bar B Number of Candy Bars eaten within a month 10, 30, 5, 35, 60, 3, 20, 30, 28, 27, 26, 27, 17, 25 12, 20 With a = .05, determine the critical value of t* that needs to be employed here. The value of the appropriate of t* is: 2.145 O 1.717 2.064 2.819 2.074 O The correct answer is not listed.
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.
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