QTMC 522       (2019)

Assignment Set – 1

1. The variance of a population is known to be 400. At 95% confidence, the margin of error will be

• 92 or less
• 4 or less
• 2 or less
• 29 or less

1. The p-value

• is the same as the Z statistic
• is a distance
• is a probability
• measures the number of standard deviations from the mean

1. In a cumulative relative frequency distribution, the last class will have a cumulative relative frequency equal to

• zero
• the total number of elements in the data set
• one
• 100

1. In hypothesis testing if the null hypothesis is rejected,

• the sample size has been too small
• the alternative hypothesis is true
• the data must have been accumulated incorrectly
• no conclusions can be drawn from the test

1. In hypothesis testing, the tentative assumption about the population parameter is

• either the null or the alternative
• None of these alternatives is correct.
• the alternative hypothesis
• the null hypothesis

1. In determining the sample size necessary to estimate a population proportion, which of the following information is not needed?

• the maximum margin of error that can be tolerated
• a preliminary estimate of the true population proportion P
• the confidence level required
• the mean of the population

1. For which of the following values of P is the value of P(I - P) maximized?

• P = 0.99
• P = 0.50
• P = 0.01
• P = 0.90

1. A 95% confidence interval for a population mean is determined to be 100 to 120. If the confidence coefficient is reduced to 0.90, the interval for µ

• becomes 0.1
• does not change
• becomes wider
• becomes narrower

1. In a random sample of 100 observations, P = 0.2. The 95.44% confidence interval for P is

• 120 to 0.280
• 134 to 0.266
• 164 to 0.236
• 122 to 0.278

1. In general, higher confidence levels provide

• narrower confidence intervals
• a smaller standard error
• wider confidence intervals
• unbiased estimates

1. The level of significance in hypothesis testing is the probability of

• None of these alternatives is correct.
• rejecting a true null hypothesis
• accepting a true null hypothesis
• accepting a false null hypothesis

1. As the number of degrees of freedom for a t distribution increases, the difference between the t distribution and the standard normal distribution

• becomes larger
• becomes smaller
• None of the above answers is correct.
• stays the same

1. In constructing a frequency distribution, as the number of classes are decreased, the class width

• remains unchanged
• decreases
• can increase or decrease depending on the data values
• increases

1. A tabular method that can be used to summarize the data on two variables simultaneously is called:

• an o give
• crosstabulation
• a histogram
• simultaneous equations

1. The absolute value of the difference between the point estimate and the population parameter it estimates is the

• precision
• error of confidence
• sampling error
• standard error

1. If we change a 95% confidence interval estimate to a 99% confidence interval estimate, we can expect

• the size of the confidence interval to increase
• the size of the confidence interval to decrease
• the size of the confidence interval to remain the same
• the sample size to increase

1. A cumulative relative frequency distribution shows

• the percentage of data items with values less than or equal to the upper limit of each class
• the percentage of data items with values less than or equal to the lower limit of each class
• the proportion of data items with values less than or equal to the lower limit of each class
• the proportion of data items with values less than or equal to the upper limit of each class

1. The t value with a 95% confidence and 24 degrees of freedom is

• 069
• 064
• 492
• 711

1. The sum of frequencies for all classes will always equal

• 1
• the number of classes
• the number of elements in a data set
• a value between 0 and 1

1. A researcher is gathering data from four geographical areas designated: South = 1; North = 2; East = 3; Vest = 4. The designated geographical regions represent

• either quantitative or qualitative data
• label data
• quantitative data
• qualitative data

1. In a cumulative percent frequency distribution, the last class will have a cumulative percent frequency equal to

• 100
• 1
• the total number of elements in the data set
• one

1. The ability of an interval estimate to contain the value of the population parameter is described by the

• degrees of freedom
• confidence level
• precise value of thepopulation mean m
• None of the above answers is correct.

1. If several frequency distributions are constructed from the same data set, the distribution with the widest class width will have the

• none of these
• most classes
• fewest classes
• same number of classes as the other distributions since all are constructed from the same data

1. An estimate of a population parameter that provides an interval of values believed to contain the value of the parameter is known as the

• interval estimate
• confidence level
• population estimate
• parameter value

1. The sum of the relative frequencies for all classes will always equal

• any value larger than one
• the number of classes
• the sample size
• one

1. A frequency distribution is a tabular summary of data showing the

• percentage of items in several classes
• fraction of items in several classes
• number of items in several classes
• relative percentage of items in several classes

1. In order to estimate the average time spent on the computer terminals per student at a local university, data were collected for a sample of 81 business students over a one week period Assume the population standard deviation is 1.2 hours. The standard error of the mean is

• 16
• 5
• 133
• 014

1. Whenever the population standard deviation is unknown and the population has a normal or near-normal distribution, which distribution is used in developing an interval estimation?

• z distribution
• standard distribution
• beta distribution
• t distribution

1. Fifteen percent of the students in a school of Business Administration are majoring in Economics, 20% in Finance, 35% in Management, and 30% in Accounting. The graphical device(s) which can be used to present these data is (are)

• only a pie chart
• a line graph
• both a bar graph and a pie chart
• only a bar graph

1. The confidence associated with an interval estimate is called the

• significance
• confidence level
• precision
• degree of association

 

Assignment Set – 2

1. A histogram is said to be skewed to the left if it has a

• longer tail to the right
• shorter tail to the right
• longer tail to the left
• shorter tail to the left

1. A cumulative relative frequency distribution shows

• The proportion of data items with values less than or equal to the upper limit of each class
• the proportion of data items with values less than or equal to the lower limit of each class
• the percentage of data items with values less than or equal to the upper limit of each class
• the percentage of data items with values less than or equal to the lower limit of each class

1. A researcher is gathering data from four geographical areas designated :South = I; North = 2; East = 3; West = 4. The designated geographical regions represent

• either quantitative or qualitative data
• qualitative data
• quantitative data
• label data

1. A frequency distribution is a tabular summary of data showing the

• fraction of items in several classes
• relative percentage of items in several classes
• percentage of items in several classes
• number of items in several classes

1. When the level of confidence increases, the confidence interval

• stays the same
• becomes narrower
• becomes wider
• cannot tell from the information given

1. The most common graphical presentation of quantitative data is a

• relative frequency
• pie chart
• bar graph
• histogram

1. A frequency distribution is

• a tabular summary of a set of data showing the frequency of items in each of several nonoverlapping classes
• a tabular summary of a set of data showing the relative frequency
• a graphical device for presenting qualitative data
• a graphical form of representing data

1. The confidence associated with an interval estimate is called the

• significance
• confidence level
• precision
• degree of association

1. The p-value

• measures the number of standard deviations from the mean
• is the same as the Z statistic
• is a distance
• is a probability

1. In constructing a frequency distribution, as the number of classes are decreased, the class width

• can increase or decrease depending on the data values
• remains unchanged
• decreases
• increases

1. We are interested in conducting a study in order to determine what percentage of voters of a state would vote for the incumbent governor. What is the minimum size sample needed to estimate the population proportion with a margin of error of 0.05 or less at 95% confidence?

• 100
• 200
• 196
• 58

1. In a random sample of 100 observations, P = 0.2. The 95.44% confidence interval for P is

• 120 to 0.280
• 134 to 0.266
• 122 to 0.278
• 164 to 0.236

1. An estimate of a population parameter that provides an interval of values believed to contain the value of the parameter is known as the

• confidence level
• population estimate
• interval estimate
• parameter value

1. The difference between the point estimate, such as the sample mean, and the value of the population parameter it estimates, such as the population mean, is known as the

• confidence level
• interval estimate
• parameter estimate
• sampling error

1. Whenever using the t distribution in estimation, we must assume that

• the sampling distribution is approximately normal
• the finite population correction factor is necessary
• the population is approximately normal
• the sample size is at least 30

1. The difference between the lower class limits of adjacent classes provides the

• class midpoint
• class width
• class limits
• number of classes

1. If a hypothesis is rejected at the 5% level of significance, it

• Will never be tested at the 1%level
• may be rejected or not rejected at the 1% level
• will always be accepted at the 1% level
• will always be rejected at the 1% level

1. For which of the following values of P is the value of P(I - P) maximized?

• P = 0.01
• P = 0.99
• P = 0.50
• P = 0.90

1. A probability statement about the sampling error is known as the

• precision
• confidence
• interval
• error

1. In general, higher confidence levels provide

• a smaller standard error
• wider confidence intervals
• unbiased estimates
• narrower confidence intervals

1. In hypothesis testing if the null hypothesis is rejected,

• the sample size has been too small
• no conclusions can be drawn from the test
• the data must have been accumulated incorrectly
• the alternative hypothesis is true

1. Qualitative data can be graphically represented by using a(n)

• bar graph
• frequency polygon
• histogram
• o give

1. The t value with a 95% confidence and 24 degrees of freedom is

• 711
• 069
• 492
• 064

1. A 95% confidence interval for a population mean is determined to be 100 to 120. If the confidence coefficient is reduced to 0.90, the interval for µ

• becomes 0.1
• becomes wider
• does not change
• becomes narrower

1. An interval estimate is a range of values used to estimate

• a sample statistic
• a population parameter
• the shape of the population's distribution
• the sampling distribution

1. After computing a confidence interval, the user believes the results are meaningless because the width of the interval is too large. Which one of the following is the best recommendation?

• Discard the current data and try a different sample.
• Increase the level of confidence for the interval.
• Reduce the population variance.
• Increase the sample size.

1. In hypothesis testing, the tentative assumption about the population parameter is

• the null hypothesis
• the alternative hypothesis
• either the null or the alternative
• None of these alternatives is correct.

1. A situation in which conclusions based upon aggregated cross tabulation are different from unaggregated crosstabulation is known as

• Simpson's rule
• wrong crosstabulation
• Simpson's paradox
• aggregated crosstabulation

1. The sum of the relative frequencies for all classes will always equal

• any value larger than one
• the sample size
• one
• the number of classes

1. As the sample size increases, the sampling error

• increases
• None of the above answers is correct.
• decreases
• stays the same

 

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