Exhibit 11-5The table below gives beverage preferences for random samples of teens and adults.BeverageCoffeeTeaSoft DrinkOtherTeens5010020050400Adults20015020050600Total2502504001001,000We are asked to test for independence between age (i.e., adult and teen) and drink preferences.Refer to Exhibit 11-5. The expected number of adults who prefer coffee is

The data shows the beverage preferences for random sample of teens and adults.

Answered: Exhibit 11-5 The table below gives…

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 table below shows the age and favorite type of music of 668 randomly selected people. Rock Pop Classical 15-25 50 85 73 25-35 73 95 60 36-45 85 70 77 Use a 1 percent level of significance to test the null hypothesis that age and preferred music type are independent.
An article about the California lottery gave the following information on the age distribution of adults in California: 35% are between 18 and 34 years old, 51% are between 35 and 64 years old, and 14% are 65 years old or older. The article also gave information on the age distribution of those who purchase lottery tickets. The following table is consistent with the values given in the article. Suppose that the data resulted from a random sample of 200 lottery ticket purchasers. Based on these sample data, is it reasonable to conclude that one or more of these three age groups buys a disproportionate share of lottery tickets? Use a chi-square goodness-of-fit test with ? = 0.05. Age of Purchaser Frequency 18–34 36 35–64 130 65 and over 34 Calculate the test statistic. (Round your answer to two decimal places.) ?2 = Use technology to calculate the P-value. (Round your answer to four decimal places.) P-value = What can you conclude? The data strong evidence to conclude…
An article about the California lattery gave the following information on the age distribution of adults in California: 35% are between 18 and 34 years old, 51% are between 35 and 64 years old, and 14% are 65 years old or older. The artide also gave Information on the age distribution of those who purchase lottery tickets. The following table is consistent with the values given in the article. Suppose that the data resulted from a random sample of 200 lattery ticket purchasers. Based on these sample data, is it reasonable to condude that ane or more af these three age groups buys a disproportionate share of lottery tickets? Use a chi-square goodness-of-fit test with a- 0.05. (Round your answer to two decimal places.) Age of Purchaser Frequency 18-34 45 35-64 100 65 and over 55 P-value interval Op
Julius has conducted a very small study of the amount of sleep his dorm mates get each night. He believes that those who are on one of the school’s sports teams will get more sleep (measured in hours per night) than those who are not. Julius surveyed 12 people. Of these, 6 played on a sports team and 6 did not. The descriptive statistics from his survey are given below. PLAYS SPORTS (Sample 1) DOES NOT PLAY SPORTS (Sample 2) 8 6 9 6 8 5 7 7 8 7 7 6 What is the critical value for this test? what is the t-obtain value for this t-test? Based on your t-obtained value, what should you conclude about the null hypothesis for this test?
This data set contains the achievement test (English as a Second Language) results and some background data collected during experimental trial of a new ESL program. The study was one year in duration. Students were allocated to the experimental ESL program class and a regular program control class on a random basis. Vocabulary and grammar tests were administered to the students in both groups at the beginning and the end of the school year. Variables The dataset includes 24 cases and 7 variables: Student ID Group (1 - experimental, 2 - control, 9 - missing) Gender (1 - male, 2 - female, 9 - missing) Pre-test vocabulary scores (scores range from 0 - 25, 99 - missing) Pre-test grammar scores (scores range from 0 - 25, 99 - missing) Post-test vocabulary scores (scores range from 0 - 25, 99 - missing) Post-test grammar scores (scores range from 0 - 25, 99 - missing) (a) develop a research question that can be addressed with independent-samples t test (b) state the null and alternative…
The World Bank collects information on the life expectancy of a person in each country ("Life expectancy at," 2013) and the fertility rate per woman in the country ("Fertility rate," 2013). The data for 12 randomly selected countries for the year 2011 are shown in the table below. Table: Data of Fertility Rates versus Life Expectancy Fertility Rate Life Expectancy 1.7 77 5.8 55 2.2 70 2.1 76 1.8 75 2.0 78 2.6 73 1.5 81 6.9 54 2.9 72 4.7 63 6.8 57 The most commonly used type of correlation is Pearson correlation, named after Karl Pearson, introduced around the turn of the 20th century. Pearson's r measures the linear relationship between two variables, say X and Y. Find the Pearson’s correlation coefficient for the above data In reference to the calculated correlation coefficient above, describe the strength of the correlation. Briefly give an explanation to meaning of the above results. Obtain the…
The owner of Maumee Ford-Volvo wants to study the relationship between the age of a car and its selling price. Listed below is a random sample of 12 used cars sold at the dealership during the last year. Car Age (years) Selling Price ($000) 1 11 12.1 2 8 10.5 3 14 5.7 4 17 4.9 5 9 5.0 6 8 13.4 7 10 10.5 8 14 9.0 9 13 9.0 10 17 4.5 11 6 12.5 12 6 11.5 Click here for the Excel Data Filea. Determine the regression equation. (Negative amounts should be indicated by a minus sign. Round your answers to 3 decimal places.) a= b= Estimate the selling price of an 7-year-old car (in $000). (Round your answer to 3 decimal places.) Interpret the regression equation (in dollars). (Round your answer to the nearest dollar amount.)
QSR Magazine published the latest results of its annual quick serve resturant drive-thru study. One aspect of the study examined the customer drive-thru wait times for various brands. The drive-thru wait times for random samples of customers at Chick-fil-A, McDonald's, and KFC are given in the table below. Brand Customers drive-thru wait times (in seconds) Chick-fil-A 485 496 489 460 487 477 495 McDonald's 356 362 343 327 369 351 350 KFC 291 269 251 283 286 294 278 (a) Conduct a hypothesis test using a=0.05 to determine whether the mean drive-thru wait times of customers at Chick-fila-A, and KFC are the same. Assume that drive thru wait times for each of these brands reasonably follow a normal distribution. (b) Use the sample data collected in Problem 4 to construct…
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The age of first marriage for women who responded to a survey by the CDC between 2006 and 2010 is used here. The women who first married in their twenties were randomly divided into three groups: A, B, and C. The ANOVA output is supplied below: Count NAS (Missings) 3773 group Count A 1288 B 1246 C 1239 Frequency Source DF 2 group Residual 3770 28 26 24 Response Variable (age) Summary Mean 22 20 T 0 Group Variable Summary NAS Mean (Missings) 23.73787 A 0 23.76941 0 23.77929 0 23.66344 ANOVA Table: age-group Sum of Squares 10.283 26969 Mean Square Std. Dev. Std. Dev. 2.674442 B F Value Pr>F MSG 0.71875 0.48743 MSE Age of First Marriage in 20's 2.728097 2.664101 2.628699 C
How do the average weekly incomes of electricians and carpenters compare? A random sample of 17 regions in the United States gave the following information about average weekly income (in dollars). (Reference: U.S. Department of Labor, Bureau of Labor Statistics.) Region 1 2 3 4 5 6 7 8 9 Electricians 464 715 597 464 736 694 744 571 806 Carpenters 542 813 513 476 688 503 789 653 474 Region 10 11 12 13 14 15 16 17 Electricians 592 594 702 579 868 598 597 654 Carpenters 489 647 676 384 817 605 556 505 Does this information indicate a difference (either way) in the average weekly incomes of electricians compared to those of carpenters? Use a 5% level of significance. (a) What is the level of significance? (b) Compute the sample test statistic. (c) Find the P-value of the sample test statistic.
Last school year, the student body of a local university consisted of 20% freshmen, 21% sophomores, 29% juniors, and 30% seniors. A random sample of 300 students taken from this year's student body showed the following number of students in each class. Freshmen 84 Sophomores 65 Juniors 86 Seniors 65 We are interested in determining whether there has been a significant change in the distribution of class between the last school year and this school year.If the distribution is the same as the previous year, the expected number of freshmen is _____. a. 84 b. 87 c. 60 d. 20

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