Statistics Question
MATH 1342: Unit 1 Exam Spring 2024 Name: _____________________ Vocab: Match the letter of the correct term with each definition. A. Quantitative Variable C. Relative Frequency B. Sample D. Population E. Qualitative Variable 1_______. A part of a population used to make predictions about the whole population 2_______. A variable that sorts objects into types or categories 3_______. Every member of a group taken together 4_______. Another term for a percentage 5_______. A variable that is measured or counted For Question 6-7: Farmers in Amarillo, TX want to determine if a pesticide will be effective against all grasshoppers that feed on nearby grapevines. They collect 2043 grasshoppers from the wild near Amarillo and test them for the GH131 gene, which determines whether they can be killed by certain poisons or not. 6_______. The sample for this study is: a. All grasshoppers living in near Amarillo b. 2043 grasshoppers collected for the study c. The GH131 gene d. The farmers who own the grapevines 7_______. The population for this study is: a. All grasshoppers living near Amarillo b. 2043 grasshoppers collected for the study c. The GH131 gene d. The farmers who own the grapevines 8 Determine whether the numerical value is a parameter or a statistic. Explain your reasoning. The average salary of all assembly-line employees at a certain car manufacturer is $ 41,000. For Question 9 and 10: Researchers wanted to know if there was any connection between a child’s favorite color and their grade in math. Researcher asked 435 second-graders in Los Angeles about their favorite color, which was then compared to their grade in math. The study found that children who chose “green” as their favorite color averaged 12 points higher on their test. 9_______. Give the Qualitative Variable from this study. a. 435 second-graders in LA b. All second-graders in LA c. Favorite Color d. Math Grade 10_______. Give the Quantitative Variable from this study. a. 435 second-graders in LA c. Favorite Color b. All second-graders in LA d. Math Grade Use the table for #11-12. The following table shows the ages of 50 senior citizens who attended a local festival. Age 56 63 68 73 80 88 Frequency 9 8 18 8 5 2 Relative Freq. 0.18 0.16 0.36 0.16 0.10 0.04 Cum. Rel. Freq. 1.000 11. Find the IQR for this data. 12. Find the mode of this data. 2008 Causes of Death (in thousands) for Pacific Ocean Sharks 60 40 20 0 Great White Sand Shark Fishing Pollution Hammerhead Shark Other 13_______. Which of these conclusions is supported by the Bar Chart? a. Fishing is the most common cause of death for Sand Sharks b. Pollution is the greatest threat to Great White Sharks c. There are more Great White Sharks than Hammerhead Sharks in the Pacific Ocean d. More Hammerhead sharks die from fishing than pollution 14_______. Which of these was least common in 2008? a. A Great White Shark killed by pollution b. The total number of shark deaths from “Other” c. A Hammerhead Shark killed by fishing d. A Sand Shark killed by fishing 15. The following data gives the lifetime (in days) of certain light bulbs. 138 952 980 967 992 197 215 157 (a) Find the mean for the lifetime of these light bulbs. (b) Find the median for the lifetime of the bulbs. (c) Find the range for the lifetime of the bulbs. 16. The following is the price (in dollars) of a stock checked by a trader several times on a particular day. 138 142 127 137 148 130 142 133 (a) Find the variance of the price (to four decimal places). (b) Find the standard deviation of the price (to four decimal places). 17. A student wants to calculate their GPA for the most recent semester. A’s are worth 4 GPA points, B’s are worth 3 GPA points, C’s are worth 2 GPA points, and D’s are worth 1 GPA point. If the student took 15 credit hours and earned the following grades in their classes, find the student’s weighted GPA (mean) for the semester. Class # US History Biology Algebra English Credits 3 5 4 3 Grade A C B A A. 3.75 B. 3.07 C. 3.25 D. 3.33 18. The following are the weights (in ounces), at birth, of 30 babies born at Cypress Memorial Hospital in May 2020. 94 105 124 110 119 137 96 110 120 115 104 135 123 129 72 121 117 96 107 80 96 123 124 124 134 78 138 106 130 97 (a) Compute the mean weight, at birth, of the babies. (b) Compute the median weight, at birth, of the babies. (c) Find the standard deviation of this sample of babies born in Cypress. (d) Find the percentile for the 134-ounce baby born in this sample. (e) Compute the IQR and use it to find all outliers in this data.
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