Exam 1 Summer 2023 with answers

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Purdue University *

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301

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Statistics

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Feb 20, 2024

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pdf

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Uploaded by ChefSpiderPerson390

Exam #1 Summer 2023 Problem 1 (28 points) 1.1 The chamber of commerce of West Lafayette wanted to know what to expect to pay for a single scoop of ice cream on a cone. They surveyed some local stores around town. Prices for a single scoop of ice cream on a cone were as follows (in US dollars): 125 323 3.25 3.50 3.89 3.94 3.95 3.99 4.12 4.23 5.50 What is the average as well as the 5-number summary for this data? 1.1a. mean= 3.7 [ 3\7‘9; 2:‘7 21 (2 points) 1.1b. minimum= forg (2 points) Round your answer to 2 decimal places. 1.1c. Q1= 3. zs c Z‘fo \'{‘7’3] (2 points) 1.1d. median = g Wi Y (2 points) Round your answer to 2 decimal places. 1.1e. Q3= L \ A (2 points) Round your answer to 2 decimal places. 1.1f. maximum = 5—' 3d (2 points) Round your answer to 2 decimal places. 1.2 What is the interquartile range for this dataset? J . §7 [ g «(S"é, g ngj

IQR= 4.8 1 [0-500,548] 1.3 Above what price would be high outliers? Answer = }" = 5 (5_‘ VVZ/ ,Q_,\{‘L/j 1.4 Are there any high outliers? A.No 1.5 Below what price would be low outliers? Answer = 1 75 [14?'7‘1/,?6—1 1.6 Are there any low outliers? A.No . Yes 1.7 Is this data asymmetric or symmetric? A. Asymmetrical B. Symmetrical Problem 2 (2 points) (2 points) (3 points) (3 points) (3 points) (3 points) (24 points) 2.1 Serena loves ice cream but doesn't want to pay more than 5.02 for a single scoop. What is the probability that a single scoop of ice cream on a cone will cost more than $5.02 in West Lafayette? The average price for a scoop of ice cream for all stores in the West Lafayette area has been $ 3.75 with a standard deviation of $ 0.75. The probability statement is: A. P(X>5.02) B. P(X>3.75) C. P(X>5.02) D. P(X>3.75) (3 points)

2.2 What is the value of the test statistic? (Round your answer to 2 decimal places) Answer = j 21 L1648, | -70? (3 points) 2.3 Isthis a){Z or F statistic? B (3 points) B.Z C_ F 24 Use the appropriate table to calculate the probability of nterest. Your answer should be to 4 decimal places. ~ F r ~ . p= 0.845S LU '\“15"[\0'0%561 (3 points) Eol= 25 Below & e density corve cormesponding to the Standard Normal distribution. 26 W - = B Sound your answer to 2 dedmal places) Y p= 0% 53 ,./a../‘,l'{.:,}-’;o 2.8 What is the value of the probability corresponding to the area to the left of the Z-score for X =5.027 (Box 4) (Write your answer with four decimal places). p= OA54T L 4FCuv,0,8504]

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Problem 3 (12 points) 3.1 Does the walk time of a dog affect what type of dog food they prefer? Five vet practices in town are randomly picked and then 20 dogs are randomly picked from each vet practice. On day 1, all 100 dogs go for a walk for an hour and get fed both dry and wet dog food at the same time. They can eat as much of each as they want. On day 2, the dogs go for a walk for only 10 minutes and again get fed both dog foods. The ratio between the weights of dry and wet dog food they eat each day is recorded. The sampling design is: @)Multistage Random (24 points) B. Stratified Random C. Completely Randomized D. Matched Pairs E. Randomized Block 3.2 The experimental design is: @Matched Pairs i (2.4 points) B. Stratified Random C. Randomized Block D. Completely Randomized E. Multistage Random 3.3 The factors and levels in this study are: A. Four factors: an hour, 10 minutes, wet dog food and dry dog food. (24 points) B. One factor with two levels: wet dog food and dry dog food. C. Two factors: walk time and type of dog food. @One factor with two levels: an hour and 10 minutes.

3.4 For easy handling, the dogs over 25 pounds are excluded from the experiment. This will cause: A. Response bias. (2.4 points) B. Non-response bias. C. No bias. @Jndercoverage. 3.5 After the experiment, you find out that the wet dog food has an ingredient known to increase the flavor of foods. Will this affect your results? , This might affect the interpretation of the results because of a lurking (24 points) variable. B. This might cause undercoverage. C. This might cause response bias. D. This might cause non-response bias. Problem 4 : . (12 points) L1 What type of graph would be most appropriate for the following situation: A survey gathered information on whether Purdue students eat ramen or pizza more often, A graph showing students eating food preference indicated that many more students eat ramen than pizza. A. Modified Box Plot C. Histogram (3 points) B. Side-by-Side Box Plot @Bar Graph 4.2 What type of graph would be most appropriate for the following situation: We would like to visually assess the distribution of the hair length of STAT 301 students. A. Side-by-Side Box Plot C. Bar Graph (3 points) B. Modified Box Plot @ Histogram

4.3 What type of graph would be most appropriate for the following situation: Bill needs to build a graph showing the distribution of prices of all the cars sold at his business last year. In particular, he wants to see if there are any cars that were sold at a very low or very high price (outliers). (B Modified Box Plot 3 points) B. Bar Graph C. Side-by-Side Box Plot D. Histogram 4.4 What type of graph would be most appropriate for the following situation: How does the grade distribution of exam 1 compares with the grade distribution for exam 2? A. Histogram @Side.by-Side Box Plot C. Bar Graph D. Modified Box Plot

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Problem 5 (9 points) 5.1 Which symbol corresponds to the sample's mean? A M (3 points) A M (3 points) 5.3 Which symbol corresponds to the population's standard deviation? Am (3 points) ©- M

Problem 6 (3 points) Match the following with the choice that best describes the given situation. A project aimed at studying the influence of a testing room’s wall color on exam grades was conducted with a sample of 75 students. Twenty-five students were randomly assigned to a testing room with white walls, 25 other randomly selected students were assigned to a testing room with yellow walls, and the remaining 25 students were assigned to a testing room with blue walls. A. Simple Random Sample B. Multistage Random Sample @Completely Randomized Design D. Stratified Random Sample E. Randomized Block F. Anecdotal Evidence G. Voluntary Response Sample H. Matched Pairs

Problem 7 (3 points) Match the following with the choice that best describes the given situation. Does the aging of a certain type of cheese improve taste? A manufacturer wants to.compare the rank given to an aged cheese with the rank given to a young version of the same cheese. A sample of 20 cheese tasters participate in the study to rank the cheese. 10 randomly selected cheese tasters are given the aged cheese first and the young one after (so ranks are provided first for the aged cheese and then for the young one). The other 10 cheese tasters are given the young cheese first and the aged one after. A. Completely Randomized Design B. Anecdotal Evidence C. Randomized Block D. Voluntary Response Sample E. Simple Random Sample F. Stratified Random Sample G. Multistage Random Sample @ Matched Pairs

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Problem 8 (3 points) Match each of the following with the choice that best describes the given situation Seventy-three school children were randomly selected to participate in a study to be conducted by the West Lafayette school corporation. A. Randomized Block B. Anecdotal Evidence C. Stratified Random Sample D. Voluntary Response Sample E. Multistage Random Sample @Simple Random Sample G. Matched Pairs H. Completely Randomized Design

Exam 1 Summer 2023 with answers

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