The gas mileages, in miles per gallon (mpg), of 10 randomly selected cars, bothwith and without a new gasoline additive, are shown in the following table.With additive Without additive25.724.920.018.828.427.713.713.018.817.812.511.328.427.88.18.223.123.110.49.9a. Apply the paired t-test to decide, at the 5% significance level, whether thegasoline additive is effective in increasing gas mileage.b. Apply the pooled t-test to the sample data to perform the hypothesis test.c. Compare your result in parts (a) and (b).c. Is performing the hypothesis test the way you did in part (b) appropriate orinappropriate? Why?

The random variable gasoline additive follows normal distribution. There are two samples which are…

Answered: The gas mileages, in miles per gallon…

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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An economist is studying the job market in Denver-area neighborhoods. Let x represent the total number of jobs in a given neighborhood, and let y represent the number of entry-level jobs in the same neighborhood. A sample of six Denver neighborhoods gave the following information (units in hundreds of jobs). x 16 33 50 28 50 25 y 2 3 6 5 9 3 Draw a scatter diagram displaying the data. You do not need to share your diagram. Verify the given sums∑x=202, ∑x2=7754, ∑y=28, ∑y2=164, and ∑xy=1096 Find a and b. Then find the equation of the least-squares line yˆ=a+bx. For a neighborhood with x=40 jobs, how many are predicted to be entry-level jobs?
The following data show the household expenditure, income, number of adults in each of 17 households and whether or not the family contains at least one person who smokes. Family Household expenditure (X) Income (Y) Adult 1 487 2 2 574 3 439 4 367 5 299 6 743 7 433 8 547 9 10 11 12 13 14 15 16 17 26.17 19.49 17.87 16.90 4.21 32.08 30.19 22.62 9.86 13.32 9.24 47.35 26.80 33.44 21.41 16.06 24.98 a. Draw an XY plot of the data and comment. 303 370 299 531 506 613 472 253 374 2 1 2 1 2 2 2 1 2 1 4 2 2 3 1 2 Smoker 0 0 1 0 0 1 0 0 0 1 1 1 1 0 0 1 0 b. From the chart, would you expect the line of best fit to slope up or down? In theory, which way should it slope? c. Calculate the correlation coefficient between household spending and income. d. Is the coefficient significantly different from zero? What is the implication of the result?
Let x be the percentage of 16- to 19-year-olds not in school and not high school graduates. Let y be the reported violent crimes per 1000 residents. Six small cities in Arkansas (Blytheville, El Dorado, Hot Springs, Jonesboro, Rogers, and Russellville) reported the following information about x and y.x 23.8 19.1 17.5 14.9 19.0 17.5y 12.9 4.5 9.5 1.3 0.8 3.6 a) Verify the given sums Σx, Σy, Σx2, Σy2, Σxy, and the value of the sample correlation coefficient r. (Round your value for r to four decimal places.)Σx = Σy = Σx2 = Σy2 = Σxy = r = b) Find x, and y. Then find the equation of the least-squares line y hat = a + bx. (Round your answer to four decimal places.)x = y = y hat = _____+ ____x
The following table lists average high temperatures (° F) in January and in July for selected cities in the United States: Jan. hi. 45.9 July hi. 89.5 City July hi. City Nashville Jan. hi Atlanta 50.4 88 Baltimore 40.2 87.2 New Orleans 60.8 90.6 Boston 35.7 81.8 New York 37.6 85.2 Chicago 29 83.7 Philadelphia 37.9 82.6 Cleveland 31.9 82.4 Phoenix 65.9 105.9 Dallas 54.1 96.5 33.7 82.6 Pittsburgh St. Louis Salt Lake City San Diego Denver 43.2 88.2 37.7 89.3 Detroit 30.3 83.3 36.4 92.2 Houston 61 92.7 65.9 76.2 Kansas City Los Angeles 34.7 88.7 San Francisco 55.6 71.6 65.7 75.3 Seattle 45 75.2 Miami 75.2 89 Washington 42.3 88.5 Minneapolis 20.7 84 Which dataset exhibits more dispersion: the Jan. hi data or the July hi data? Explain your reasoning.
Data on the gasoline tax per gallon (in cents) as of a certain date for the 50 U.S. states and the District of Columbia are shown below. State Gasoline Taxper Gallon State Gasoline Taxper Gallon Alabama 19.1 Missouri 17.2 Alaska 9.1 Montana 27.7 Arizona 19.1 Nebraska 27.8 Arkansas 21.7 Nevada 23.7 California 37.1 New Hampshire 23.9 Colorado 23.4 New Jersey 14.5 Connecticut 25.1 New Mexico 19.0 Delaware 22.9 New York 33.9 District of Columbia 23.4 North Carolina 35.4 North Dakota 23.1 Florida 30.7 Ohio 28.1 Georgia 26.6 Oklahoma 17.1 Hawaii 18.4 Oregon 30.1 Idaho 33.1 Pennsylvania 51.3 Illinois 33.0 Rhode Island 34.0 Indiana 28.9 South Carolina 16.9 Iowa 31.9 South Dakota 30.1 Kansas 24.9 Tennessee 21.3 Kentucky 25.9 Texas 20.1 Louisiana 21.0 Utah 30.0 Maine 31.5 Vermont 30.6 Maryland 32.7 Virginia 16.9 Massachusetts 26.6 Washington 44.5 Michigan 31.0 West Virginia 33.3 Minnesota 30.5 Wisconsin 33.0 Mississippi 18.3 Wyoming 24.1…
The following table shows the number of hits (H), number of at-bats (AB), and batting average (AVG=H/AB)(AVG=H/AB) for Major Leaguers Derek Jeter and David Justice in 1995 and 1996. 1995 1996 Jeter 12 H 48 AB AVG=250AVG=250 183 H 582 AB AVG=314AVG=314 Justice 104 H 411 AB AVG=253AVG=253 45 H 140 AB AVG=321AVG=321 Source: Based on Ken Ross, A Mathematician at the Ballpark: Odds and Probabilities for Baseball Fans, Pi Press, 2004. Which player had the higher batting average in both 1995 and 1996? Compute the batting average for each player for the two years combined. Which player had the higher combined batting average for 1995 and 1996? Briefly explain why the results might seem surprising or paradoxical.
Let x be the percentage of 16- to 19-year-olds not in school and not high school graduates. Let y be the reported violent crimes per 1000 residents. Six small cities in Arkansas (Blytheville, El Dorado, Hot Springs, Jonesboro, Rogers, and Russellville) reported the following information about x and y. x 24.2 18.6 17.8 14.9 19.0 17.5 y 13.0 4.6 8.8 1.3 0.8 3.6 Complete parts (a) through (e), given Σx = 112, Σy = 32.1, Σx2 = 2137.7, Σy2 = 282.89, Σxy = 654.37, and r ≈ 0.763. (b) Verify the given sums Σx, Σy, Σx2, Σy2, Σxy, and the value of the sample correlation coefficient r. (Round your value for r to three decimal places.) Σx = Σy = Σx2 = Σy2 = Σxy = r = (c) Find x, and y. Then find the equation of the least-squares line = a + bx. (Round your answers for x and y to two decimal places. Round your answers for a and b to three decimal places.) x = y = = + x

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