A survey collected data on annual credit card charges in seven different categories of expenditures: transportation,groceries, dining out, household expenses, home furnishings, apparel, and entertainment. Using data from a sample of42 credit card accounts, assume that each account was used to identify the annual credit card charges for groceries(population 1) and the annual credit card charges for dining out (population 2). Using the difference data, withpopulation 1 -population 2, the sample mean difference was d = $840, and the sample standard deviation wasS= $1,129.(a) Formulate the null and alternative hypotheses to test for no difference between the population mean credit cardcharges for groceries and the population mean credit card charges for dining out.O Ho: H = 0Hai Hd0o > Pri :HO0 = Pri :H(b) Calculate the test statistic. (Round your answer to three decimal places.)What is the p-value? (Round your answer to four decimal places.)Can you conclude that the population means differ? Use a 0.05 level of significance.O The p s 0.05, therefore we can conclude that there is a difference between the annual population meanexpenditures for groceries and for dining out.O The p > 0.05, therefore we cannot conclude that there is a difference between the annual population meanexpenditures for groceries and for dining out.O The p s 0.05, therefore we cannot conclude that there is a difference between the annual population meanexpenditures for groceries and for dining out.O The p > 0.05, therefore we can conclude that there is a difference between the annual population meanexpenditures for groceries and for dining out. (c) What is the point estimate (in dollars) of the difference between the population means?$NWhat is the 95% confidence interval estimate (in dollars) of the difference between the population means? (Roundyour answers to the nearest dollar.)to $Which category, groceries or dining out, has a higher population mean annual credit card charge?The 95% confidence intervalSelect--zero. This suggests that the category with higher mean annualexpenditure is-Select--

Hypothesis testing is an inferential statistical procedure widely used to test the claim made by a…

Answered: A survey collected data on annual…

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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The data below contains mileage, age, and selling price for a sample of 33 sedans. Price Mileage Age 16,998 35,000 17,599 16,000 15,998 42,000 15,998 62,000 14,998 60,000 11,599 88,000 12,599 11,599 102,000 12,998 109,000 4 58,000 14,998 27,000 3 15,998 32,000 3 3 4 7 5 9 8 6 3 Mileage Age 11,599 95,000 11,499 123,000 Price 14,599 54,000 10,599 16,998 40,000 20,998 11,599 9,599 7,000 12,599 70,000 68,000 12 80,000 13,599 86,000 11,599 92,000 120,000 . 8 8 5 4 0 9 6 5 7 10 Price Mileage Age 18,998 12,599 12,599 10,998 11,998 11,998 17,599 20,000 63,000 70,000 86,000 60,000 88,000 10 45,000 9,998 60,000 2 16,998 36,000 7 17,599 45,000 6 6 9,998 95,000 11 6 2 11 2 2 (a) Develop an estimated regression equation that predicts the selling price of a used Honda Accord given the mileage and age of the car. (Round your numerical values to two decimal places. Let x₁ represent mileage, x₂ represent age, and y represent the selling price.) y=20087.1 -0.04x₁ - 642.15x2 (b) Is multicollinearity an…
A researcher is interested in determining if the model used for the distribution of main economic concerns in the year 2003 for residents in a certain county can still be used in the year 2004. A sample of 370 residents from that county was surveyed in 2004. The following table displays the model for the distribution of economic concerns for the year 2003 and the observed number of sampled respondents in the survey for the same economic concerns for the year 2004. Economic concern 1: Jobs 2: Medical care 4: Housing Total 3: Higher education Model from 2003 5% 36% 27% 32% 100% Counts in 2004 25 138 116 91 370 Under the null hypothesis that the model from the previous year can still be used, what is the distribution of the chi-square statistic? ○ x ²(2) O x ²(3) O x ²(4) O x²(1)
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A real estate agency, located in a metropolitan area in the northeastern U.S., kept data on the various types of properties purchased in the area. Historically, 15% of purchases were for condominiums, 30% were for townhouses, 40% for single family homes, 10% for commercial properties and 5% for land. With changing demographics, the agency wondered if the current distribution matches the historical distribution. Recent data showed the following: Type of Property Condos Townhouses Homes Commercial Land Frequency 89 121 78 25 12 Based on the historical distribution, we would expect how many homes to be purchased? Question content area bottom Part 1 A. 130 B. 121 C. 129.95 D. 122.54 E. 100
The following data, taken from 8 towns in Alberta, are the percentage of residents who are university graduates and the median household incomes (in $ 1000's) for all households in each town. Graduates (%) Median Income ($ 1000) 47.6 34.1 31.5 41.3 34.5 28.1 23.1 20.4 61.7 50.9 57.1 56.4 42.8 42.1 33.2 19.2 Use two-decimal places in your answers. 4 (a) State the slope term and the Y -intercept term of the least squares regression line which attempts to predict the median income of a town in Alberta based on its linear relationship with the percentage of residents who are university graduates. (b) Find the correlation coefficient. (c) As the percenage of university graduates increases by 10%, the median income will change (in $ 1000s) by (make sure you include the positive or negative sign) (d) What percentage of the variation in the variable Median Income is not explained by its linear relationship to the variable Percentage of University Graduates? Use at least one place after the…
As part of a study on transportation safety, the U.S. Department of Transportation collected data on the number of fatal accidents per 1,000 licenses and the percentage of licensed drivers under the age of 21 in a sample of 42 cities. Prepare a managerial report that analyzes the data. Consider the complete data set collected over a one-year period. Safety Percent Under 21 Fatal Accidents per 1000 12 2.942 11 0.688 7 0.865 11 1.632 10 2.071 16 2.607 17 3.81 7 0.348 12 1.122 7 0.625 8 1.008 15 2.781 11 1.385 8 1.413 9 0.019 8 0.318 10 1.829 11 2.226 13 2.835 13 2.332 10 1.274 16 4.08 7 2.17 15 3.603 14 2.603 8 0.815 7 0.8 13 2.87 7 1.247 14 3.204 9 0.994 9 0.473 13 1.423 17 3.594 9 1.906 13 1.623 15 2.923 11 1.893 14 2.794 12 2.614 8 0.906 16 3.236 Find the mean and standard deviation of licensed drivers under the age of 21. (Round your answers to two decimal places.) MeanStandard deviation Find…
Students at a major university in Southern California are complaining about a serious housing crunch. Many of the university's students, they complain, have to commute too far to school because there is not enough housing near campus. The university officials' response is to perform a study. The study, reported in the school newspaper, contains the following histogram summarizing the commute distances for a sample of 100 students at the university: Frequency 30- 25- 20+ 15- 10 5 0. 0 23 4 27 18 14 12 8 12 16 Commute distance (in miles) 20 6 24 Based on this histogram, draw the ogive (the cumulative relative frequency polygon) for the data in the study.

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