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Unformatted text preview: udent Journal (December 1992) investigated differences in traditional and nontraditional students, where nontraditional students are defined as 25 years or older and working. Based on the study results, we can assume the population mean and standard deviation for the GPA of nontraditional students is µ = 3.5 and σ = 0.5. Suppose a random sample of 100 nontraditional students is selected and each student's GPA is calculated. Find the interval that contains 95.44% of the sample means for nontraditional students. A. [3.45 3.55] B. [2.50 4.50] C. [3.35 3.65] D. [3.40 3.60] 1-562 Chapter 01 - An Introduction to Business Statistics 113. The College Student Journal (December 1992) investigated differences in traditional and nontraditional students, where nontraditional students are defined as 25 years or older and working. Based on the study results, we can assume the population mean and standard deviation for the GPA of nontraditional students is µ = 3.5 and σ = 0.5. Suppose a random sample of 100 nontraditional students is selected and each student's GPA is calculated. What is the probability that the random sample of 100 nontraditional students have a mean GPA greater than 3.42? A. .0548 B. .4364 C. .9452 D. .5636 114. The diameter of small Nerf balls manufactured at a factory in China is expected to be approximately normally distributed with a mean of 5.2 inches and a standard deviation of .08 inches. Suppose a random sample of 20 balls is selected. Calculate the mean of the sampling distribution of the sample mean. A. 5.2 B. 0.8 C. 0.08 D. 0.018 115. The diameter of small Nerf balls manufactured at a factory in China is expected to be approximately normally distributed with a mean of 5.2 inches and a standard deviation of .08 inches. Suppose a random sample of 20 balls is selected. Calculate the standard deviation of the sampling distribution of the sample mean. A. 5.2 B. 0.018 C. 0.08 D. 0.063 1-563 Chapter 01 - An Introduction to Business Statistics 116. The diameter of small Nerf balls manufactured at a factory in China is expected to be approximately normally distributed with a mean of 5.2 inches and a standard deviation of .08 inches. Suppose a random sample of 20 balls is selected. Find the interval that contains 95.44% of the sample means. A. [5.04 5.36] B. [5.18 5.22] C. [5.16 5.24] D. [5.07 5.33] 117. The diameter of small Nerf balls manufactured at a factory in China is expected to be approximately normally distributed with a mean of 5.2 inches and a standard deviation of .08 inches. Suppose a random sample of 20 balls is selected. What percentage of sample means will be less than 5.14 inches? A. 0.048% B. 22.66% C. 4.8% D. .00048% 1-564 Chapter 01 - An Introduction to Business Statistics Chapter 07 Sampling and Sampling Distributions Answer Key True / False Questions 1. If we have a sample size of 100 and the estimate of the population proportion is .10, we can estimate the sampling distribution of with a normal distribution. TRUE AACSB: Reflective Thinking Bloom's: Knowledge Difficulty: Easy Topic: Sampling distribution of sample proportion 2. A sample size of 500 is sufficiently large enough to conclude that the sampling distribution of is a normal distribution, when the estimate of the population proportion is .995. FALSE AACSB: Reflective Thinking Bloom's: Knowledge Difficulty: Medium Topic: Sampling distribution of sample proportion 1-565 Chapter 01 - An Introduction to Business Statistics 3. The sampling distribution of deviation 1. FALSE must be a normal distribution with a mean 0 and standard AACSB: Reflective Thinking Bloom's: Knowledge Difficulty: Medium Topic: Sampling distribution of sample mean 4. For any sampled population, the population of all sample means is approximately normally distributed. FALSE AACSB: Reflective Thinking Bloom's: Knowledge Difficulty: Medium Topic: Sampling distribution 5. The sampling distribution of a sample statistic is the probability distribution of the population of all possible values of the sample statistic. TRUE AACSB: Reflective Thinking Bloom's: Knowledge Difficulty: Easy Topic: Sampling distribution 1-566 Chapter 01 - An Introduction to Business Statistics 6. A sample statistic is an unbiased point estimate of a population parameter if the mean of the populations of all possible values of the sample statistic equals the population parameter. TRUE AACSB: Reflective Thinking Bloom's: Comprehension Difficulty: Medium Topic: Sampling distribution 7. A minimum variance, unbiased point estimate has a variance that is as small or smaller than the variances of any other unbiased point estimate. TRUE AACSB: Reflective Thinking Bloom's: Comprehension Difficulty: Medium Topic: Sampling distribution 8. We can randomly select a sample from an infinite population of potential process measurements by sampling the process at different and equally spaced time points. TRUE AACSB: Reflective Thinking Bloom's: Knowledge Difficulty: Medium Topic: Sampling distribution 9. The reason sample variance has a divisor of n-1 rather than n is th...
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