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1. What is the standard error of the mean for a sample size n=35 given the population standard deviation of 30? a. 6.07 b. 5.07 c. 3.0? d. 4.07 2. The average number of milligrams of cholesterol in a cup of a certain brand of ice cream is 550 mg and a standard deviation of 25 mg. If a sample of 10 cups of ice cream is selected, what is the probabilitv that the mean of the sample will be larger than 6?0 mg? a. 5.7% b. 50.7% c. 0.57% d. 57% 3. The mean and standard deviation of a population are TE} and 12, respectively. The sample size is 100. What is the standard error of the mean? a. 1.2 b. 0.12 c. 12 d. 13 4. What happens to the shape of a sampling distribution of sample means as n increases? a. It becomes wider and more normal b. It becomes wider and skewed right c. It becomes narrower and more normal d. It becomes narrower and bimodal 5. The mean and standard deviation of a population are 220 and 50, respectively. What is the probabilitv of selecting 10 data values with a mean less than 190? a. 0.4713 b. 0.028? c. 23.7% d. 47.13% For numbers 6-?, refer to the given situation below. Suppose the teenagers that attend public high schools get an average of 5 hciurs of sleep each night with a standard deviation of 2.2? hoors. Assume that the average sleep hour is normally distributed, and 20 high school students are randomly selected. 6. Compute the z-score for 5 hours of sleep. a. 1.28 b. 1.79 c. 1.9? d. 2.52 7. What is the probability that a randomly selected group of 35 high school students gets more than 6 hours of sleep each night? a. 0.0045 b. 0.045 c. 0.0214 d. 0.4285 8. Which of the following is true abdut Central Limit Theorem ? a. Central Limit theorem teaches researchers to use a limited sample to make intelligent and accurate conclusions about a greater population. b. It justifies the use of normal curve methods for a wide range of problems. c. It justifies the use of the formula 2: ifs-umvo n) d. A and b 9.Which of the following is the correct order ofthe step-by- step process in solving problem using the Central Limit Theorem? .i; draw the normal curve and shade the appropriate region. wise the formula to find the zscore. Iii. Identify parts of the problem iv. Do the needed operation and convert the answer to percentage. V. use the z-table to look up the z-scores you calcolated. a. |, ii, iii, v, iv b. Ii, I, v, iv, iii c. iii, ii, v, I, iv d. Iv, iii, ii, i, v 10. In a study of the life expectancy of 500 people in a certain geographic region, the mean age at death was 67 years, and the standard deviation was 5 years. If a sample of 50 people from this region is selected, what is the probability that the mean life expectancy will be less than 68 years? a. 91% b. 90% c. 92% d. 94% 11. Researchers found that boys playing basketball in high school recorded an average of 43 points with a standard deviation of 7 during a season. What is the probability on a randomly selected team of 12 players that the average number of points per player is between 40 and 47? a. 91% b. 92% c. 93% d. 94% 12. The mean and standard deviation of a population are 180 and 20, respectively. What is the probability of selecting 25 data values with a mean less than 175? a. 0.3944 b. 0.10563% c. 0.1056 d. 0.3945% 13. The measures the degree of accuracy of the sample mean as an estimate of the population mean. a. Standard error ofthe mean b. Standard error of the samples c. Standard error of the standard deviation d. Standard error of the population 14. Central Limit Theorem states that the sampling distribution of the mean approaches a as the sample size increases. a. Mean b. Normal Distribution c. Larger d. Normality 15. The mean is a poor estimate if the standard error of the mean is a. Far from 1 b. Far from zero c. Close to zero d. Close to 1 16. The standard error of the mean is the of the sampling distribution of the sample mean. a. Mean b. Standard error c. Variance d. Standard deviation 17. The mean of the sampling distribution of the sample means is equal to the mean of the a. Population b. Means c. Sample d. Data = 18. The histogram of the sampling distribution of the sample means is a constructed by plotting the sample means along the horizontal axis and the problem along the vertical axis. a. pie graph b. line graph c. bar graph d. none of these 19. The sampling distribution of sample means is distribution of the sample means taken from a population. a. Mean b. Frequency c. Variance d. Standard deviation 20. Mean(/) is also called (u = a. Expected value (E(X)) b. Value of the random variable (X) c. Summation (X) d. Probability value (P(X))For items 21-25. Random samples of size 3 are drawn from a finite population consisting 123,4, and 5. Find the following. 21. Population Mean a.2 b.3 c.4 dB 22. Population Variance a.2 b.3 c.4 dB 23. Population Standard Deviation a. 1 b. :2 c. V3 d. 2 24. Mean of the Sample Means a.3 b.S c.7 d.1 25. Variance of the Sample Means a. 0.333 b. 3.003 c. 1/5 d. 3.333 26. What do you call a measure that describes a sample characteristic? a. Sample means b. Parameter c. Estimate d. Statistic 27. The total probability of the sample mean must be equal to a. 1 b. Greater than D c. Less than 1 do