Summer 2017 Exam 1 Key

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Austin Peay State University *

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GEOG-306

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Mathematics

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Jun 26, 2024

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pdf

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Uploaded by ProfWalrusPerson1203

Math 1530: Elements of Statistics EXAM I NAM INSTRUCTIONS: J ' Vz} 1. You may use a calculator, #2 pencils) one page of notes) and yqur brain. You mayfi»v aT share any materials and you MUST do your own work to receive any credit. 2. Record all your answers on the scantron bubble sheet. 3. Ask your proctor if you have any questions at all. Good luck! Special Code:‘ 777190 5

N1 «M’S)\)\efiffi A A ((}(’ { aep- 1. Outcomes of the __________ variable depend on values of the __________ va,r1ab (‘A /U\&'Q (a) lurking; response (b) response; lurking (c) explanatory; response response expla ory 2. The time it takes to fill a tub of water is RV variable. (a) quantitative discrete ‘ quantitative continuous (c) categorical 3. 'The number of cats in a cradleisa .. variable. ; uantitative discrete (b) quantitative continuous (c) categorical 4. The make and model of acarisa variable. (a) quantitative discrete (b) quantitative continuous @ategorical 5. ZFhe number of cars in the parking lot is yuantitative discrete (b) quantitative continuous (c) categorical Which of the following statements are true, and which are false? Mark (a) for true and (b) for false. 6. The standard deviation measures how far the data tend to be from the ¥de. Mten = 7. Jack’s test score was at the 30th percentile and Jill’s was at the 65th percentile. This means about of the scores fell between Jack’s and Jill’s scares. Beds e b ol s (m%ﬂ ?Q% 8. A z-score tells the direction and number of r??@n%\bwm%andawmﬂ‘ 9. The median lies to the xight of the mean for a right-skewed distribution. /\' 10. The regression line has the property that the sum of the squared errors (or sum &%cfiared residuals) is as small as possible. 12. About 95.45% of a population with a bell-shaped distribution Jieg within yé st '%n of Ms¥ the mean. o { 25% ’qu 4 &(‘ 13. Approximately 7%% of a population are above the third quar , ’L?Zl -» S’[o 14. Influential observations tend to lie far from most of the other data points, and they can have a large influence on the slope of the regression line. 11. The third quartile divides a data set into a lower 75% and upper 25%. l 15. The more spread out data are f‘sor% their mean, the larger the standard deviation 15, 16. Data with an r value of 0.09 are%strongly correlated. e—re—0 17. Two data sets with the same mean should have approximately the same standard deviation. 18. If the @!:%lation between two quantitative variables if -0.99,| the variables have a strong linear relationship. e

Use the following information to answer questions on this page. Lightbulb'L ifetimes by Brand - ' b 4 T T T w el a0 w0 T oaw 20 20 20 ‘HS Lightbulb Lifetimes (hours) 19. What would be the most appropriate description for Brand B’s distribution? (a) Left-skewed ight-skewed (c) Symmetrical ~ (d) J-shaped (e) Uniform 20. Which brand had the lowest median life — L '\9\1@ (d) Brand B VN c) 24 (d) Brand A 22. mtawas the minimum lifetime for Brand A? @ (b) 201 , (¢) 213 (d) 237 (e) 257 23 . Which of the following is true? (a) 213 (b) 151 21. Which brand had the largest spread? —— n— (a) 76 - (b) 98 a) About 25% of Brand A bulbs lasted more than 201 hours. About 25% of Brand C' bulbs lasted more than 143 hours. (c) About 75% of Brand B bulbs lasted more than 128 hours. (d) About 50% of Brand A bulbs lasted less than 190 hours. (e) Brand A had a smaller range than Brand C.

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