Practice Final A WI 2011

# What number is the 3 rd percentile of the z

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3. What number is the 3 rd percentile of the Z distribution? a. .67 b. .75 c. - .03 d. None of the above 4. You need the Central Limit Theorem to be able to say that n x x σ σ = . a. True b. False 5. It can be shown that P(-2 < Z < -1) = [P(Z < 2) – P(Z < 1)] a. YES b. NO 6. Suppose Bob’s 95% confidence interval for the population mean is (70, 90). From this information you can determine what the value of X was for Bob’s data. a. YES b. NO 7. Which of the following conditions must be met in order to use the normal approximation for a binomial? 8. The correlation between calories and sodium content in hot dogs was strong and the scatterplot looked good. A computer found the regression equation is: Calories = 61.6 + 0.232 Sodium. Hot Dog A has 100 more mg of sodium in it than Hot Dog B. How many more calories does Hot Dog A have, compared to Hot Dog B? 3

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9. Interpolation is when you make predictions for Y by plugging in values of X that are outside the range of the data. 10. If X has a Normal Distribution, then the sampling distribution of X : a. is exactly normal for any n b. is exactly normal for n > 30 c. is approximately normal for n > 30 d. is approximately normal for any n 11. On the Z distribution, P(Z = 0) = 0.50. a. TRUE b. FALSE 12. x X μ = . 13. What is the relationship between the mean of X and the mean of X? 14. Data are collected on the fuel economy of 2001 model midsize cars. The information measured in average miles per gallon (MPG) is summarized below. Can the 68-95-99.7 rule be applied to this data to give an approximate range where 95% of the MPG lie? a) YES b) NO Descriptive Statistics: MPG Variable Count Mean StDev Minimum Q1 Median Q3 Maximum MPG 32 26.750 2.874 22.000 24.000 26.500 28.750 33.00 MPG Frequency 32 30 28 26 24 22 7 6 5 4 3 2 1 0 Histogram of MPG 15. Suppose salaries have a distribution such that most employees have close to the same salary, fewer and fewer have lower and lower salaries, and there are no large salaries due to the economy. Which of the following is most likely to be the shape of the distribution of salaries?
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