Test 1 Review

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Kennesaw State University *

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1101

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Statistics

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Feb 20, 2024

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2

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Test 1 Review Directions: For all calculations, round to two decimal places unless otherwise directed in class. 1. A high school athletic director is collecting info about the athletes at his school and some of the variables for the data he collects are listed below. For each variable listed, indicate whether it is quantitative or categorical followed by the type of categorical or quantitative. a. Sport b. Number of seasons they’ve played the sport c. T-shirt size 2. Given the data below, create a stem and leaf plot 3. A local elementary school wants to survey parents about the carpool line. Describe which sampling method is being used for each situation described: a. Randomly select 20 classes and interview the parents in those classes. b. Take a list of students and select every 75 th name and interview their parents. c. Stand by the front door and ask people as they leave open house. d. Divide students by grade and then select students from each grade. 4. Dr. Galloway kept up with the receipts from the fast food places she has visited in the last few weeks. The table below lists the business for each receipt she had in the stack. (This is fictional but a little too close to the truth ). Make a table that contains the frequency and relative frequency. (express relative frequency as a percent rounded to two decimal places) Chickfila Zaxby’s Panera Zaxby’s Chickfila Chickfila Wendy’s Chickfila Zaxby’s Chickfila Panera Wendy’s Panera Chickfila Wendy’s Chickfila Chickfila Zaxby’s 5. The table below gives the grades from the first test for a previous class of Dr. Galloway. Use this information to create a frequency distribution and histogram . Start with a lower class limit of 40 and use a class width of 12. 6. In a survey, young adults ages 18 – 25 were asked to estimate their average monthly bank balance. The table below gives the responses for 15 individuals. Find the following: a) Mean, b) Sample standard deviation, c) IQR, d) Five number summary, e) Lower and upper outlier boundaries, f) draw and label the boxplot 7. Describe the histogram and indicate which of the following is true: a. median < mean b. median > mean c. median approx.= mean 3 0 8 3 0 9 3 0 9 3 1 3 3 1 7 3 1 8 3 1 8 3 1 8 3 1 9 3 2 1 3 2 2 3 2 6 3 4 0 3 4 1 3 5 1 3 5 8 46 68 78 82 88 93 99 47 69 78 83 89 94 99 49 72 78 85 89 95 99 50 73 80 85 90 96 99 62 75 81 85 91 97 100 66 75 81 87 92 98 100 120 0 150 0 142 5 375 185 0 147 5 155 0 210 0 250 0 210 0 140 0 162 5 167 5 180 0 200 0
8. A study reports that a certain breed of dog has a mean adult weight of 65 pounds with a standard deviation of 3.5 pounds. a. Draw and label the curve that represents this distribution using the Empirical rule b. Using the Empirical Rule, what percent of the values will be between 54.5 and 75.5? c. What cut-off values represent the boundaries for the middle 68% d. Using the Empirical Rule, what percent of the values are between 58 and 61.5? e. Using the Empirical Rule, what percent of the values will be greater than 54.5? f. Find the z score for a dog that weighs 71 pounds. 9. We want to see if we can predict the cost of a round-trip airfare based on the number of miles between cities. The table below gives the round trip airfare from Boston. Use this information to answer the following questions: a. give the correlation coefficient b. give the regression equation c. find the predicted cost of a flight to a city that is 375 miles from Boston d. find the residual for Los Angeles e. give the slope in context f. interpret the slope 10. Calculate the grouped mean for the following distribution. 11. The following output is from an analysis in Excel using age (in years) to predict the selling price (in dollars) of a used car. a. what is the predictor variable, b. give the regression equation c. give the correlation coefficient d. find the predicted price of a used car that is 5 years old. 12. Which value is the most reasonable correlation coefficient for the graph? -0.355 0.355 0.812 -0.812 City Distanc e Cost New York 206 179 Chicago 963 179 San Francisco 3095 397 Denver 1940 274 Los Angeles 2979 314 Washington , D.C. 429 99 Atlanta 1037 317 Seattle 2976 443 Dallas 1748 404 St. Louis 1141 334 32-39 3 40-47 6 48-55 4 56-63 8 64-71 6 Coeffici ents Interc ept 18449.3 9 Age - 1339.57 R-sq 0.781
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