MATH 534 Midterm 2

subject Type Homework Help
subject Pages 8
subject Words 876
subject Authors David R. Anderson, Dennis J. Sweeney, Thomas A. Williams

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Exhibit 10-1
Salary information regarding male and female employees of a large company is shown
below.
Refer to Exhibit 10-1. If you are interested in testing whether or not the average salary
of males is significantly greater than that of females, the test statistic is
a. 2.0
b. 1.5
c. 1.96
d. 1.645
There are 8,000 students at the University of Tennessee at Chattanooga. The average
age of all the students is 24 years with a standard deviation of 9 years. A random sample
of 36 students is selected.
a. Determine the standard error of the mean.
b. What is the probability that the sample mean will be larger than 19.5?
c. What is the probability that the sample mean will be between 25.5 and 27 years?
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Exhibit 10-3
A statistics teacher wants to see if there is any difference in the abilities of students
enrolled in statistics today and those enrolled five years ago. A sample of final
examination scores from students enrolled today and from students enrolled five years
ago was taken. You are given the following information.
Refer to Exhibit 10-3. The p-value for the difference between the two population means
is
a. .0014
b. .0028
c. .4986
d. .9972
Only 0.02% of credit card holders of a company report the loss or theft of their credit
cards each month. The company has 15,000 credit cards in the city of Memphis. What
is the probability that during the next month in the city of Memphis
a. no one reports the loss or theft of their credit cards?
b. every credit card is lost or stolen?
c. six people report the loss or theft of their cards?
d. at least nine people report the loss or theft of their cards?
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e. Determine the expected number of reported lost or stolen credit cards.
f. Determine the standard deviation for the number of reported lost or stolen cards.
Exhibit 10-4
The following information was obtained from independent random samples.
Assume normally distributed populations with equal variances.
Refer to Exhibit 10-4. The 95% confidence interval for the difference between the two
population means is
a. -5.372 to 11.372
b. -5 to 3
c. -4.86 to 10.86
d. -2.65 to 8.65
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As the sample size becomes larger, the sampling distribution of the sample mean
approaches a
a. binomial distribution
b. Poisson distribution
c. hypergeometric distribution
d. None of the alternative answers is correct.
A population consists of 8 items. The number of different simple random samples of
size 3 (without replacement) that can be selected from this population is
a. 24
b. 56
c. 512
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d. 128
The descriptive measure of dispersion that is based on the concept of a deviation about
the mean is
a. the range
b. the interquartile range
c. both the range and the interquartile range
d. the standard deviation
After the data has been arranged from smallest value to largest value, the value in the
middle is called the
a. range
b. median
c. mean
d. None of the other answers are correct.
The total number of data items with a value less than or equal to the upper limit for the
class is given by the
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a. frequency distribution
b. relative frequency distribution
c. cumulative frequency distribution
d. cumulative relative frequency distribution
The life expectancy of point-of-sale (POS) terminals is normally distributed with a
mean of 4 years and a standard deviation of 10 months.
a. What is the probability that a randomly selected terminal will last more than 5 years?
b. What percentage of terminals will last between 5 and 6 years?
c. What percentage of terminals will last less than 4 years?
d. What percentage of terminals will last between 2.5 and 4.5 years?
e. If the manufacturer guarantees the terminals for 3 years (and will replace them if they
malfunction), what percentage of terminals will be replaced?
The price of a bond is uniformly distributed between $80 and $85.
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a. What is the probability that the bond price will be at least $83?
b. What is the probability that the bond price will be between $81 and $90?
c. Determine the expected price of the bond.
d. Compute the standard deviation for the bond price.
The _____ probability function is based in part on the counting rule for combinations.
a. binomial
b. Poisson
c. hypergeometric
d. exponential
Exhibit 12-1
When individuals in a sample of 150 were asked whether or not they supported capital
punishment, the following information was obtained.
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We are interested in determining whether or not the opinions of the individuals (as to
Yes, No, and No Opinion) are uniformly distributed.
Refer to Exhibit 12-1. The conclusion of the test is that the
a. distribution is uniform
b. distribution is not uniform
c. test is inconclusive
d. None of these alternatives is correct.

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