Directions: Read and analyze the story below. Write the letter of the correct answer on your answer sheet. 1. According to Central Limit theorem, which sample size will give a smaller standard error of the mean? A. 7 B. 12 C. 23 D. 40 2. If a population is not normally distributed, the distribution of the sample means for a given sample size n will A. be positively skewed B. be negatively skewed. C. take the same shape as the population. D. approach a normal distribution as n increases. 3. The mean and standard deviation of a population are 75 and 15, respectively. The sample size is 100. What is the standard error of the mean? A. 1.5 B. 1.73 C. 0.15 D. 8 4. The mean and standard deviation of a population are 400 and 40, respectively. Sample size is 25. What is the mean of the sampling distribution? A. 400 B. 40 C. 25 D. 8 5. What is the standard error of the mean if the sample size is 25 with standard deviation of 16? A. 6.25 B. 3.2 C. 1.25 D. 0.64 6. The weights of the eggs produced by a certain breed of hen are normally distributed with mean 65 grams and standard deviation of 5 grams. Which of the following will you use? A. Normal Distribution C. Discrete Probability Distribution B. Central Limit Theorem D. Binomial Distribution 7. In a study done on the life expectancy of 500 people in a certain geographic region, the mean age at death was 72 years and the standard deviation was 5.3 years. If a sample of 50 people from this region is selected, and the probability that the mean life expectancy will be less than 70 years, which of the following will you use? A. Normal Distribution C. Discrete Probability Distribution B. Central Limit Theorem D. Binomial Distribution3. The mean and standard deviation of a population are 299 and 29. respectively. What is the probability of selecting 25 data values with a mean less than 199? 6. 69% B. 31% C. 9.6% D. 99% 9. In a metal fabrication process. metal rods are produced that have an average length of 29.5 meters with a standard deviation of 2.3 meters. 3 quality control specialist collects a random sample of 39 rods and measures their lengths. Suppose the resulting sample mean is 19.5 meters. Which of the following statements is true? ft. This sample mean is 2.33 standard deviations above what we expect. B. This sample mean is 2.33 standard deviations below what we expect. C. This sample mean is only 1 standard deviation above the population mean. D. This sample mean is more than 3 standard deviations away from the population mean. For number 19-1 1. mfer to the problem below. Suppose the teenagers that attend public high schools get an average of 5.? hours of sleep each night with a standard deviation of 1.? hours. assume that the average sleep hour is normally distributed. and 35 high school students are randomlyr selected. 19.Compute the z-score for 6 hours of sleep. 3.. 1.94 B. 9.13 C. 9.52 D. 9.32 1 LWhat is the probability that a randomlyr selected group of 35 high school students gets more than 6 hours of sleep each night?II 3. 9.3593 3. 9.1492 9. 9.9214 13.9.4233 For number 12-14. refer to the problem below. The amount of fuel used by jumbo jets to take off is normally distributed with a mean of 4. 999 gallons and a standard deviation of 125 gallons. a sample of49 jumbo jets are randomly selected. 12.Compute the z-score for 3, 959 gallons. 3.. "9.4 B. 9.4 C. 2.53 D. 2.53 13.What is the probability that the mean number of gallons of fuel needed to take off for a randomly selected sample of 49 jumbojets will be less than 3. 959 gallons? a. 23.1% B. 34.5% C. 2.5% D. 9.52% 14.What is the probabilityIr that the mean number of gallons of fuel needed to take off for a randomly selected sample of 49 jumbo jets will be more than 3, 959 gallons? b. 9.52% B. 49.43% C. 65.54% D. 99.43% 15.Researchers found that boys playing high school football recorded an average of 355 hits to the head with a standard deviation of 39 hits during a season. What is the probability on a randomly selected team of 43 players that the average number of head hits per player is between 349 and 369? A. 56.96% B. 43.94% C. 49.32% D. 16.64% Solve the following. 1. Pardito College must make a report to the budget committee about the average credit hour load a full-time student carries. A random sample of 40 students yielded the following: 17 12 14 17 13 16 18 :20 13 2 12 17 16 15 14 12 12 13 14 15 12 15 16 12 18 20 19 12 15 18 14 16 17 15 19 12 13 12 15 Find the median and the mode. 2. To graduate, Jason needs at least a B in statistics. He did not do very well on his first three tests; however, he did well on the last four. Here are his scores: 58 67 60 84 93 98 100 Compute the mean and determine if Jason's grade will be a # (80 to 89 average) or a C (70 to 79 average)