An economist conducted a study of the possible association between weekly income and weekly grocery expenditures. The particular interest was whether higher income would cause shoppers to spend more on groceries. A random sample of shoppers at a local supermarket was obtained. A questionnaire was administered asking about the weekly income of each shopper's family and their grocery bill for that week. The gender of each shopper was also obtained. The data below are expenditures and income for 10 selected survey participants. ​ Income Grocery 98 52 201 78 298 108 398 95 481 198 600 99 738 162 805 187 890 105 1023 173 The correlation for these data is given by:   a. 0.794.   b. 0.735.   c. 0.649.   d. –0.649.

Employee Salary (K$) CEO 299 CTO 250 CIO 250 CFO 290 Manager 77 Manager 123 Manager 84 Manager 63 Manager 68 Manager 49 Manager 82 Manager 87 Supervisor 42 Supervisor 37 Supervisor 29 Supervisor 43 Supervisor 51 Supervisor 38 Supervisor 33 Supervisor 42 Supervisor 49 Worker 25 Worker 19 Worker 41 Worker 17 Worker 26 Worker 25 Worker 21 Worker 28 Worker 27         Look at the data and answer the questions.  -what percentage of the employees make more than the mean salary? -what percentage of the employees make more than the median salary? -what percentage of the employees make more than the mode salary? -in his radio show A Prairie Home Companion host Garrison Keillor regularly tells his audience about Lake Wobegon, where "all the children are above average". Is that possible, with any of the meanings of "average"?

How often do you go out dancing? This question was asked by a professional survey group on behalf of the National Arts Survey. A random sample of 95 single men showed that 24% went out dancing occasionally. Another random sample of 92 single women showed that 21% went out dancing occasionally. Is the proportion of single men who go out dancing occasionally higher than the proportion of single women? Use a 5% level of significance. If men are group 1 and women are group 2, what is the p-value for this hypothesis test?   0.656 0.688 0.344 0.217 0.242

In Exercises 33 to 36, determine whether or not the conditions for using two-sample t procedures are met. 33. Shoes How many pairs of shoes do teenagers have? To find out, a group of AP® Statistics students conducted a survey. They selected a random sample of 20 female students and a separate random sample Females 333 95 4332 66 410 8 9 100 7 0 0 4455 WW~~ 1 1 2 2 2 Males 4 3 555677778 0000124 3 58 Key: 22 represents a male student with 22 pairs of shoes.

A statistical program is recommended. The Condé Nast Traveler Gold List provides ratings for the top 20 small cruise ships. The data shown below are the scores each ship received based upon the results from Condé Nast Traveler's Annual Readers' Choice Survey. Each score represents the percentage of respondents who rated a ship as excellent or very good on several criteria, including Shore Excursions and Food/Dining. An overall score was also reported and used to rank the ships. The highest ranked ship, the Seabourn Odyssey, has an overall score of 94.4, the highest component of which is 97.8 for Food/Dining. Shore Ship Overall Food/Dining Excursions Seabourn Odyssey 94.4 90.9 97.8 Seabourn Pride 93.0 84.2 96.7 National Geographic Endeavor 92.9 100.0 88.5 Seabourn Sojourn 91.3 94.8 97.1 Paul Gauguin 90.5 87.9 91.2 Seabourn Legend 90.3 82.1 98.8 Seabourn Spirit 90.2 86.3 92.0 Silver Explorer 89.9 92.6 88.9 Silver Spirit 89.4 85.9 90.8 Seven Seas Navigator 89.2 83.3 90.5 Silver Whisperer…

The midterm and final exam grades for a statistics course are provided in the data set below. Jaymes, a student in the class, scored 86 on both exams. Treat the given data sets as samples. Midterm: 80, 78, 85, 82, 79, 79, 78, 86, 80, 84, 78, 84, 80, 84, 81, 78, 81, 82, 78, 84 Final: 81, 88, 68, 69, 69 81, 82, 86, 76, 71, 72, 68, 77, 86, 68, 83, 84, 71, 81, 87 z-score for midterm: 1.857 z-score for final: 1.181 Based on the z-scores calculated above, which of Jaymes's grades is more unusual, the midterm grade or the final exam grade? Select the correct answer below: A. The absolute value of the z-score for the final exam grade is greater than for the midterm grade, so the final exam grade is more unusual. B. The absolute value of the z-score for the midterm exam grade is less than for the final grade, so the midterm grade is more unusual. C. The absolute value of the z-score for the midterm exam grade is greater than for the final grade, so the midterm grade is more…

Your Statistics instructor wants to determine whether students who have previously taken an online course earn higher grades than students who have NOT taken an online course prior to taking the Statistics course. In this example, what is the response variable?

Jocelyn believes that the amount of sleep she tends to get on weekends differs from the amount of sleep she tends to get during the school week. To investigate this claim, she randomly selects 10 weekend days and 10 school days. She consults her smart watch to determine the number of hours she slept for each of the selected days. Here are the data. School week: 7, 7.5, 8, 6.5, 8, 7.5, 7, 6.5, 7, 8Weekend: 9.5, 9.5, 8.25, 8.5, 7.5, 10.25, 8, 7, 9.5, 10 Jocelyn would like to determine if these data provide convincing evidence that the true mean amount of sleep she gets on the weekend differs from the true mean amount of sleep she gets during the school week. She tests H0: μS – μW = 0, Ha: μS – μW ≠ 0, where μW = the true mean amount of sleep Jocelyn gets on the weekend and μS = the true mean amount of sleep she gets during the school week. The conditions for inference are met. What are the values of the test statistic and P-value for a t-test about a difference in means? Find the…

It is generally believed that there is a relationship between a college’s acceptance rate and its graduation rate. I wanted to know how strong this relationship is within the top universities in the country so I collected the graduation rate and acceptance rate data of a randomly selected sample of universities from all the top U.S. universities (with an acceptance rate at or below 30%). The data set is in Tab Q2 of the Excel data file. a.) Create a scatter plot between the two variables using Excel. Paste the plot here and format it into an APA-styled “figure” (see Assignment Guides for APA format).Be sure to submit the Excel file that you used to create the scatter plot.     b) Calculate the mean and standard deviation for the two variables separately.   c) Calculate the Z scores for all the scores of the two variables, separately.Tips: It may help to prevent error and to increase clarity if the process and/or the answers (z scores) are listed in a table format.     d) Calculate…

Of the 328 patients that completed the survey last year, 211 of them claimed to be returning patients which is 64.3% of the sample. What type of data, quantitative or categorical, is the question “How long did you wait past your appointment time?” asking for? Justify your answer.