A research firm tests the miles-per-gallon characteristics of three brands of gasoline. Because of different gasoline performance characteristics in different brands of automobiles, five brands of automobiles are selected and treated as blocks in the experiment; that is, each brand of automobile is tested with each type of gasoline. The results of the experiment (in miles per gallon) follow.

(a)

At α = 0.05, is there a significant difference in the mean miles-per-gallon characteristics of the three brands of gasoline?

State the null and alternative hypotheses.

H₀: μ_I = μ_II = μ_III
H_a: Not all the population means are equal.H₀: At least two of the population means are equal.
H_a: At least two of the population means are different.    H₀: μ_I = μ_II = μ_III
H_a: μ_I ≠ μ_II ≠ μ_IIIH₀: Not all the population means are equal.
H_a: μ_I = μ_II = μ_IIIH₀: μ_I ≠ μ_II ≠ μ_III
H_a: μ_I = μ_II = μ_III

Find the value of the test statistic. (Round your answer to two decimal places.)

Find the p-value. (Round your answer to three decimal places.)

p-value =

State your conclusion.

Do not reject H₀. There is not sufficient evidence to conclude that the mean miles-per-gallon ratings for the three brands of gasoline are not all equal.Reject H₀. There is sufficient evidence to conclude that the mean miles-per-gallon ratings for the three brands of gasoline are not all equal.    Do not reject H₀. There is sufficient evidence to conclude that the mean miles-per-gallon ratings for the three brands of gasoline are not all equal.Reject H₀. There is not sufficient evidence to conclude that the mean miles-per-gallon ratings for the three brands of gasoline are not all equal.

(b)

Analyze the experimental data using the ANOVA procedure for completely randomized designs. (Use α = 0.05.)

Find the value of the test statistic. (Round your answer to two decimal places.)

Find the p-value. (Round your answer to three decimal places.)

p-value =

State your conclusion.

Reject H₀. There is sufficient evidence to conclude that the mean miles-per-gallon ratings for the three brands of gasoline are not all equal.Reject H₀. There is not sufficient evidence to conclude that the mean miles-per-gallon ratings for the three brands of gasoline are not all equal.    Do not reject H₀. There is sufficient evidence to conclude that the mean miles-per-gallon ratings for the three brands of gasoline are not all equal.Do not reject H₀. There is not sufficient evidence to conclude that the mean miles-per-gallon ratings for the three brands of gasoline are not all equal.

Compare your findings with those obtained in part (a).

The conclusion is the same as the conclusion in part (a).The conclusion is different from the conclusion in part (a).    

What is the advantage of attempting to remove the block effect?

We must remove the block effect in order to detect that there is no significant difference due to the brand of gasoline.There is no advantage to removing the block effect because the conclusion is the same in either case.    We must remove the block effect in order to detect that there is a significant difference due to the brand of gasoline.

Mr. and Mrs. Roberts checked into the Acme Hotel Downtown. Mr. Roberts gave his car keys to the hotel valet so that the valet could park the car and retrieve the car when it was needed. A sign adjacent to the valet stand advises that valet parking is $30 per night and that the hotel is not responsible for damage or loss vehicles. When Mr. Roberts requests the valet deliver his car the following day, the car is missing. Briefly discuss the legal relationship, if any, between the hotel and Mr. Roberts with respect to his vehicle.

What, if any, effect does the disclaimer on the garage sign?

The Toyota Camry is one of the best-selling cars in North America. The cost of a previously owned Camry depends on many factors, including the model year, mileage, and condition. To investigate the relationship between the car’s mileage and the sales price for Camrys, the following data show the mileage and sale price for 19 sales (PriceHub web site, February 24, 2012).

DATA

Miles (1,000s) Price ($1,000s) 22 16.2 29 16.0 36 13.8 47 11.5 63 12.5 77 12.9 73 11.2 87 13.0 92 11.8 101 10.8 110 8.3 28 12.5 59 11.1 68 15.0 68 12.2 91 13.0 42 15.6 65 12.7 110 8.3

(a) Choose a scatter chart below with ‘Miles (1000s)’ as the independent variable. (i) (ii) (iii) (iv) What does the scatter chart indicate about the relationship between price and miles? The scatter chart indicates there may be a linear relationship between miles and price. Since a Camry with higher miles will generally sell for a lower price, a negative relationship is expected between these two variables. This scatter chart is consistent with what is expected.

(b) Develop an estimated regression equation showing how price is related to miles. What is the estimated regression model? Let x represent the miles. If required, round your answers to four decimal places. For subtractive or negative numbers use a minus sign even if there is a + sign before the blank. (Example: -300) = + x

(c) Test whether each of the regression parameters β0 and β1 is equal to zero at a 0.01 level of significance. What are the correct interpretations of the estimated regression parameters? Are these interpretations reasonable? The input in the box below will not be graded, but may be reviewed and considered by your instructor.

(d) How much of the variation in the sample values of price does the model estimated in part (b) explain? If required, round your answer to two decimal places. %

(e) For the model estimated in part (b), calculate the predicted price and residual for each automobile in the data. Identify the two automobiles that were the biggest bargains. If required, round your answer to the nearest whole number. The best bargain is the Camry # in the data set, which has miles, and sells for $ less than its predicted price. The second best bargain is the Camry # in the data set, which has miles, and sells for $ less than its predicted price.

(f) Suppose that you are considering purchasing a previously owned Camry that has been driven 100,000 miles. Use the estimated regression equation developed in part (b) to predict the price for this car. If required, round your answer to one decimal place. Do not round intermediate calculations. Predicted price: $ Is this the price you would offer the seller?

Explain. The input in the box below will not be graded, but may be reviewed and considered by your instructor.

Write code to ask user to provide input length in miles, yards, feet and inches and write code to convert sum of total length into meters. Display result by reiterating input values in inches, feet, yards, and miles entered by user, and the sum of the total length in meters. PLEASE use bluej for code

Create a html page to convert miles into kilometers, the page should have four buttons using FOR loop to convert values from 1-25, 25-50, 50-75, and 75-100

Upon clicking any of the four button, output should display the range miles to kilometers in table cell.

Use this data for Questions 20-24

The distance travelled (in hundreds of miles) and sales (in thousands of dollars) for ACME Company are reflected in table below:

1. What is the Coefficient of Determination?
   1. 0.7334
   2. 0.4053
   3. 0.2267
   4. 0.1437

2. What is the Test Statistic for the Correlation Coefficient?
   1. 3.32
   2. 16.15
   3. 1.88
   4. Cannot be computed

3. What is the regression slope?
   1. 1.98
   2. 0.40
   3. 0.71
   4. 0.32

4. What is the regression intercept?
   1. 0.40
   2. 2.41
   3. 3.68
   4. 1.88
5. If a salesman travels 600 miles what is the predicted sales?
   1. $4826
   2. $2105
   3. $3638
   4. $4018

Show all work.

Computers in some vehicles calculate various quantities related to performance. One of these is fuel efficiency, or gas mileage, usually expresses as miles per gallon (mpg). For one vehicle equipped in this way, the miles per gallon were recorded each time the gas tank filled, and the computer was then reset. Here are the mpg values for a random sample of 20 of these records: 41.5 50.7 36.6 37.3 34.2 45.0 48.0 43.2 47.7 42.2 43.2 44.6 48.4 46.4 46.8 39.9 37.3 43.5 44.3 43.3 Find a 95% confidence interval for μ, the mean miles per gallon for this vehicle.

Create a flowchart for the following:

Mr. Arthur Einstein, your college physics teacher, wants a program for English-to-Metric conversions. The program should be able to convert from kilometers to miles, kilograms to pounds, and liters to quarts. The program should first determine the type of conversion desired. To do this, the user will enter a letter indicating the type of measurement: pounds (P), miles (M), and quarts (Q). After doing this, the program should proceed to read the appropriate metric value and convert it to the correct imperial value. Use the following conversion factors:

1 kilometer = 0.621388 miles

1 kilogram = 2.2046 pounds

1 liter = 0.877193 quarts

A boat leaves the harbor entrance and travels 27 miles in the direction ??? ° ?. The captain then travels for another 16 miles in the direction ??? ° ?, which is the boat’s final position. How far is the harbor entrance from the boat’s final position? What is the bearing of the boat from the harbor entrance? Round your answers to the nearest WHOLE numbers.

Two airplanes are flying in the air at the same height. Airplane A is flying east at 250 mph and airplane B is flying north at 400 mph. If they are both heading to the same airport, located 30 miles east of airplane A and 40 miles north of airplane B, at what rate (in mph) is the distance between the airplanes changing?