Problem #3: An auto manufacturer makes a type of car that is known to have an average mileage of 27.7 miles per gallon on the highway. They want to put a smaller engine in this type of car, and they want to see if this increases the average mileage. They test the new engine on a random sample of 8 cars. The mileages for this sample of cars are shown below: 27.5, 30.3, 29.8, 31.4, 31.1, 28.2, 29.8, 29.6 The 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 a hypothesis test at the 5% level of significance. (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} Problem #3(a): Select ↑

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 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.

Question 6 Find the sample proportion, p-hat. When 410 college students were surveyed,150 said they own their car. Find a point estimate for p (p-hat), the population proportion of students who own their cars. O 0.366 O 0.634 O 0.268 O 0.577