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] 1562 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 1563 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% 1564 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 1565 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 1566 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 n1 rather than n is th...
View
Full Document
 Winter '14
 Frequency, Frequency distribution, Histogram, AACSB, Statistical charts and diagrams

Click to edit the document details