Problem #3: An auto manufacturer makes a type of car that is known to have an average mileage of 27.7 miles per gallon onthe highway. They want to put a smaller engine in this type of car, and they want to see if this increases theaverage mileage. They test the new engine on a random sample of 8 cars. The mileages for this sample of cars areshown below:27.5, 30.3, 29.8, 31.4, 31.1, 28.2, 29.8, 29.6The sample mean and sample standard deviation are calculated to be 29.7 mpg and 1.33 mpg, respectively.Mileages are known to follow a normal distribution with variance 1.4 mpg. We would like to conduct ahypothesis test at the 5% level of significance.Problem #3(a):Problem #3(b):(a) What is the appropriate rejection region?(b) What is the value of the test statistic?(A) {z < -1.96} (B) {z < -1.645) (C) {z 1.645} (D) {z 1.96} (E) {z 1.645) (F) {z > 1.96}Select Part (a) choices.answer correct to 2 decimals

Answered: Image /qna-images/answer/bc3a7585-ff86-4d3c-ba0e-b4e2e7d57f53.jpg

Answered: Problem #3: An auto manufacturer makes…

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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Question 1 Questions 1-3 are based on the following "POPULATION" data (N = 72); 112 183 138 78 133 112 154 77 132 174 158 157 192 112 168 189 85 40 45 173 128 200 141 180 O 148,426,963 156,238,908 148 166 74 57 159 49 101 76 50 59 137 115 195 192 49 142 O 162,488,464 O 168,988,003 59 141 92 103 101 187 91 49 84 96 161 97 94 52 72 139 175 97 118 134 153 50 88 96 If sampling is done without replacement, the number of possible samples of size n = 6 from the above population is 145 110 189 184 181 164 143 116
QUESTION 2 Find the range for the given sample data. Rich Borne is currently taking Chemistry 101. On the five laboratory assignments for the quarter, he got the following scores: 30 38 13 48 53 Compute the range. 53 O 13 O 40 O8
A researcher wanted to determine if using an octane booster would increase gasoline mileage. A random sample of seven cars was selected; the cars were driven for two weeks without the booster and two weeks with the booster.
Question 1 W Show all your work. Indicate clearly the methods you use, because you will be scored on the correctness of your methods as well as on the accuracy and completeness of your results and explanations. A marketing director for a beverage company conducted a study to investigate people's soda preferences in two regions of the country. The director selected a random sample of 100 people from the east coast and a random sample of 100 people from the west coast to survey. The responses are summarized in the following table. East Coast West Coast Regular soda 44 37 Diet soda 39 42 No preference 17 21 Total 100 100 Do the data provide convincing statistical evidence, at the level of a = 0.05, that the preferences are different between the two regions of the country? Complete the appropriate inference procedure to support your answer.
Develop an effect size measure (round to 2 decimal places) for Chapter 12 question 27 shown below: In an ANOVA table, the MSE is equal to 10. Random samples of six were selected from each of four populations, where the sum of squares total was 250. Numerical Response
QUESTION 8 You are interested in seeing whether emotions impact decision making. You have three groups--a happy group, a sad group, and a neutral group. For the happy group there are 5 participants and the mean risky decision making score 5.0 with a standard deviation of 0.7. For the sad group there are 5 participants and the mean risky decision making score 5.4 with a standard deviation of 1.1. For the neutral group there are 5 participants and the mean risky decision making score 5.8 with a standard deviation of 2.8. The sum of squares between samples is equal to 1.6. The sum of squares within samples is equal to 38.0. What is the degrees of freedom total? Please do the calculations on the handout provided.
Question 4 The randomly selected 60 shoppers have rated a new bottle design for a popular soft drink. The data are given below. Determine the no. of classes, class width, and the relative frequency of each class to construct the histogram for the given data. Explain the skewness of data based on the histogram. 34 32 24 32 31 32 33 25 30 33 27 20 30 33 34 29 33 34 31 31 32 26 22 31 31 32 30 33 27 32 33 28 30 28 32 30 29 26 32 25 33 35 27 29 31 32 32 33 34 32 29 33 29 31 31 34 33 30 888888
QUESTION 15 A 4X5 ANOVA would have how many cells?
Question #3 Samples of body temperatures were collected for a group of women and a group of men. The summary statistics are given below: Women:n1 = 15 sample mean = 98.38 ̊F s1 = 0.45 ̊F Men:n2= 91 sample mean= 98.17 ̊F s2 = 0.65 ̊F 1. Use a 0.01 significance level to test the claim that women and men have different mean body temperatures using the p value method. Show all the steps of your hypothesis test including the p value: initial conclusion: a final conclusion about the original claim:
Question 5 A trucking firm is considering the installation of a new, low-restriction engine air filter for its long-haul trucks, but doesn’t want to make the switch unless the new filter can be shown to improve the fuel economy of these vehicles. A test is set up in which each of 10 trucks makes the same run twice once with the old filtration system and once with the new version. Given the sample results shown below: Truck Number Current Filter (mpg) New Filter (mpg) 1 7.6 7.3 2 4.1 7.2 3 10.4 6.8 4 6.9 10.6 5 5.6 8.8 6 7.9 8.7 7 5.4 5.7 8 5.7 8.7 9 5.5 8.9 10 5.3 7.1 Formulate the null and alternative hypotheses that can be used to decide whether the new filtration system could be superior. A. H0: the hypothesized mean is less or equal to zero Ha: the hypothesized mean is greater than zero B. H0: the hypothesized mean is greater or equal to zero Ha: the hypothesized mean…
QUESTION 17 Obtain the five-number summary for the given data. The test scores of 15 students are listed below. 40 46 49 54 56 62 67 70 73 77 85 87 90 94 95 40, 52.75, 70, 85.5, 95 40, 54, 70, 87, 95 40, 54, 71.5, 87, 95 40, 52.75, 71.5, 85.5, 95
QUESTION 23 Suppose the image below shows the distributions of scores on a standardized test for upperclassmen from two rivel high schools. 015 Which of the following statements can be made? O A. The two high schools' upperclassman have the same mean and same variance. O B. The two high schools' upperclassman have the same mean but difference variance. O C. The two high schools' upperclassman have a different mean and a different variance. O D. None of the statement above can be inferred from the image.

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