UCF QMB 3200 FINAL EXAM STUDY GUIDE QUESTIONS
AND ANSWERS VERIFIED 100% CORRECT
A regression analysis between sales (in $1000s) and price (in dollars) resulted in the
following equation:
ŷ = 50,000 − 8x
The above equation implies that an increase of _____.
a. $8 in price is associated with an increase of $8,000 in sales
b. $1 in price is associated with a decrease of $42,000 in sales
c. $1 in price is associated with a decrease of $8,000 in sales
d. $1 in price is associated with a decrease of $8 in sales --ANSWER-- c. $1
in price is associated with a decrease of $8,000 in sales
Which of the following is correct?
a. SSR = SSE + SST
b. SST = SSR + SSE
c. SSE = SSR + SST
d. SST = (SSR)2 --ANSWER-- b. SST=SSR+SSE
In a simple regression analysis (where y is a dependent and x an independent variable),
if the slope is positive, then it must be true that _____. a. the y-intercept is 0
b. there is a negative correlation between x and y
c. there is no correlation between x and y
d. there is a positive correlation between x and y --ANSWER-- d. there is a positive
correlation between x and y
When each data value in one sample is matched with a corresponding data value
in another sample, the samples are known as _____. a. matched samples
b. corresponding samples
c. dependent samples
d. independent samples --ANSWER-- a. matched samples
The standard error of x̄1 - x̄2 is the _____.
a. difference between the two means
b. variance of x̄1 - x̄2
c. standard deviation of the sampling distribution of x̄1 - x̄2
d. variance of the sampling distribution of x̄1 - x̄2 --ANSWER-- c. standard deviation of
the sampling distribution of x̄1 - x̄2
,A company wants to identify which of two production methods has the smaller
completion time. One sample of workers is randomly selected and each worker first
uses one method and then uses the other method. The sampling procedure being
used to collect completion time data is based on _____ samples. a. cross
b. pooled
c. matched
d. independent --ANSWER-- c. matched
Independent simple random samples are selected to test the difference between the
means of two populations whose variances are not known. The sample sizes are n1
= 32 and n2 = 40. The correct distribution to use is the _____ distribution. a. normal
b. t
c. uniform
d. binomial --ANSWER-- b. t
If the alternative hypothesis is that proportion of items in population 1 is larger than the
proportion of items in population 2, then the null hypothesis should be _____.
a. p1 - p2 > 0
b. p1 - p2 ≤ 0
c. p1 - p2 < 0
d. p1 - p2 = 0 --ANSWER-- b. p1 - p2 ≤ 0
When developing an interval estimate for the difference between two sample
means, with sample sizes of n1 and n2, _____. a. n1 must be larger than n2
b. n1 must be equal to n2
c. n1 must be smaller than n2
d. n1 and n2 can be of different sizes --ANSWER-- d. n1 and n2 can be of different
sizes
Independent simple random samples are selected to test the difference between the
means of two populations whose standard deviations are not known. We are
unwilling to assume that the population variances are equal. The sample sizes are n1
= 30 and n2 = 36. The correct distribution to use is the t distribution with how many
degrees of freedom? a. 36
b. 30
c. 64
d. The correct degrees of freedom cannot be calculated without being given the sample
standard deviations. --ANSWER-- d. The correct degrees of freedom cannot be
calculated without being given the sample standard deviations.
As a general guideline, the research hypothesis should be stated as the _____.
a. alternative hypothesis
b. tentative assumption
c. hypothesis the researcher wants to disprove
,d. null hypothesis --ANSWER-- a. alternative hypothesis
A one-tailed test is a hypothesis test in which rejection region is _____.
a. in both tails of the sampling distribution
b. only in the upper tail of the sampling distribution
c. only in the lower tail of the sampling distribution
d. in one tail of the sampling distribution --ANSWER-- d. in one tail of the sampling
distribution
If a hypothesis is rejected at a 5% level of
significance, it _____.
a. may be rejected or not rejected at
the 1% level
b. will never be tested at the
1% level
c. will always be accepted at the
1% level
d. will always be rejected at the 1% level --ANSWER-- a. may be
rejected of
not rejected at the 1%
level
Which of the following is an improper form of the null and alternative hypotheses?
a. H0: μ < μ0 and Ha: μ ≥ μ0
b. H0: μ ≥ μ0 and Ha: μ < μ0
c. H0: μ ≤ μ0 and Ha: μ > μ0
d. H0: μ = μ0 and Ha: μ ≠ μ0 --ANSWER-- a. H0: μ < μ0 and Ha: μ ≥ μ0
The level of significance is symbolized by _____.
a. σ
b. α
c. ρ
d. β --ANSWER-- b. α
In a two-tailed hypothesis test, the null hypothesis should be rejected if the p-value is
_____.
a. less than or equal to 2α
b. greater than or equal to 2α
c. less than or equal to α
d. greater than or equal to α --ANSWER-- c. less than or equal to α
A two-tailed test at a 0.1010 level of significance has z values of _____.
, a. -0.83 and 0.83
b. -1.28 and 1.28
c. -1.64 and 1.64
d. -0.82 and 0.82 --ANSWER-- c. -1.64 and 1.64
For a one-tailed test (lower tail) with a sample size of 10 and a .10 level of
significance the t value is _____. a. 1.383
b. -2.821
c. -1.383
d. -1.372 --ANSWER-- c. -1.383
Two approaches to drawing a conclusion in a hypothesis test are _____.
a. Type I and Type II
b. p-value and critical value
c. one-tailed and two-tailed
d. null and alternative --ANSWER-- b. p-value and critical value
The error of rejecting a true null hypothesis is _____.
a. a Type I error
b. committed when not enough information is available
c. a Type II error
d. committed when the sample size is too small --ANSWER-- a. a Type I
error
When the p-value is used for hypothesis testing, the null hypothesis is rejected if _____.
a. α < p-value
b. p-value ≤ α
c. p-value = z
d. p-value > α --ANSWER-- b. p-value ≤ α
The level of significance is the _____.
a. maximum allowable probability of a Type I error
b. same as the p-value
c. same as the confidence coefficient
d. maximum allowable probability of a Type II error --ANSWER-- a. maximum allowable
probability of a Type I error
For a two-tailed test with a sample size of 20 and a .20 level of significance, the t
value is _____. a. 2.539
b. 2.528
c. 1.328
d. 1.325 --ANSWER-- 1.328
AND ANSWERS VERIFIED 100% CORRECT
A regression analysis between sales (in $1000s) and price (in dollars) resulted in the
following equation:
ŷ = 50,000 − 8x
The above equation implies that an increase of _____.
a. $8 in price is associated with an increase of $8,000 in sales
b. $1 in price is associated with a decrease of $42,000 in sales
c. $1 in price is associated with a decrease of $8,000 in sales
d. $1 in price is associated with a decrease of $8 in sales --ANSWER-- c. $1
in price is associated with a decrease of $8,000 in sales
Which of the following is correct?
a. SSR = SSE + SST
b. SST = SSR + SSE
c. SSE = SSR + SST
d. SST = (SSR)2 --ANSWER-- b. SST=SSR+SSE
In a simple regression analysis (where y is a dependent and x an independent variable),
if the slope is positive, then it must be true that _____. a. the y-intercept is 0
b. there is a negative correlation between x and y
c. there is no correlation between x and y
d. there is a positive correlation between x and y --ANSWER-- d. there is a positive
correlation between x and y
When each data value in one sample is matched with a corresponding data value
in another sample, the samples are known as _____. a. matched samples
b. corresponding samples
c. dependent samples
d. independent samples --ANSWER-- a. matched samples
The standard error of x̄1 - x̄2 is the _____.
a. difference between the two means
b. variance of x̄1 - x̄2
c. standard deviation of the sampling distribution of x̄1 - x̄2
d. variance of the sampling distribution of x̄1 - x̄2 --ANSWER-- c. standard deviation of
the sampling distribution of x̄1 - x̄2
,A company wants to identify which of two production methods has the smaller
completion time. One sample of workers is randomly selected and each worker first
uses one method and then uses the other method. The sampling procedure being
used to collect completion time data is based on _____ samples. a. cross
b. pooled
c. matched
d. independent --ANSWER-- c. matched
Independent simple random samples are selected to test the difference between the
means of two populations whose variances are not known. The sample sizes are n1
= 32 and n2 = 40. The correct distribution to use is the _____ distribution. a. normal
b. t
c. uniform
d. binomial --ANSWER-- b. t
If the alternative hypothesis is that proportion of items in population 1 is larger than the
proportion of items in population 2, then the null hypothesis should be _____.
a. p1 - p2 > 0
b. p1 - p2 ≤ 0
c. p1 - p2 < 0
d. p1 - p2 = 0 --ANSWER-- b. p1 - p2 ≤ 0
When developing an interval estimate for the difference between two sample
means, with sample sizes of n1 and n2, _____. a. n1 must be larger than n2
b. n1 must be equal to n2
c. n1 must be smaller than n2
d. n1 and n2 can be of different sizes --ANSWER-- d. n1 and n2 can be of different
sizes
Independent simple random samples are selected to test the difference between the
means of two populations whose standard deviations are not known. We are
unwilling to assume that the population variances are equal. The sample sizes are n1
= 30 and n2 = 36. The correct distribution to use is the t distribution with how many
degrees of freedom? a. 36
b. 30
c. 64
d. The correct degrees of freedom cannot be calculated without being given the sample
standard deviations. --ANSWER-- d. The correct degrees of freedom cannot be
calculated without being given the sample standard deviations.
As a general guideline, the research hypothesis should be stated as the _____.
a. alternative hypothesis
b. tentative assumption
c. hypothesis the researcher wants to disprove
,d. null hypothesis --ANSWER-- a. alternative hypothesis
A one-tailed test is a hypothesis test in which rejection region is _____.
a. in both tails of the sampling distribution
b. only in the upper tail of the sampling distribution
c. only in the lower tail of the sampling distribution
d. in one tail of the sampling distribution --ANSWER-- d. in one tail of the sampling
distribution
If a hypothesis is rejected at a 5% level of
significance, it _____.
a. may be rejected or not rejected at
the 1% level
b. will never be tested at the
1% level
c. will always be accepted at the
1% level
d. will always be rejected at the 1% level --ANSWER-- a. may be
rejected of
not rejected at the 1%
level
Which of the following is an improper form of the null and alternative hypotheses?
a. H0: μ < μ0 and Ha: μ ≥ μ0
b. H0: μ ≥ μ0 and Ha: μ < μ0
c. H0: μ ≤ μ0 and Ha: μ > μ0
d. H0: μ = μ0 and Ha: μ ≠ μ0 --ANSWER-- a. H0: μ < μ0 and Ha: μ ≥ μ0
The level of significance is symbolized by _____.
a. σ
b. α
c. ρ
d. β --ANSWER-- b. α
In a two-tailed hypothesis test, the null hypothesis should be rejected if the p-value is
_____.
a. less than or equal to 2α
b. greater than or equal to 2α
c. less than or equal to α
d. greater than or equal to α --ANSWER-- c. less than or equal to α
A two-tailed test at a 0.1010 level of significance has z values of _____.
, a. -0.83 and 0.83
b. -1.28 and 1.28
c. -1.64 and 1.64
d. -0.82 and 0.82 --ANSWER-- c. -1.64 and 1.64
For a one-tailed test (lower tail) with a sample size of 10 and a .10 level of
significance the t value is _____. a. 1.383
b. -2.821
c. -1.383
d. -1.372 --ANSWER-- c. -1.383
Two approaches to drawing a conclusion in a hypothesis test are _____.
a. Type I and Type II
b. p-value and critical value
c. one-tailed and two-tailed
d. null and alternative --ANSWER-- b. p-value and critical value
The error of rejecting a true null hypothesis is _____.
a. a Type I error
b. committed when not enough information is available
c. a Type II error
d. committed when the sample size is too small --ANSWER-- a. a Type I
error
When the p-value is used for hypothesis testing, the null hypothesis is rejected if _____.
a. α < p-value
b. p-value ≤ α
c. p-value = z
d. p-value > α --ANSWER-- b. p-value ≤ α
The level of significance is the _____.
a. maximum allowable probability of a Type I error
b. same as the p-value
c. same as the confidence coefficient
d. maximum allowable probability of a Type II error --ANSWER-- a. maximum allowable
probability of a Type I error
For a two-tailed test with a sample size of 20 and a .20 level of significance, the t
value is _____. a. 2.539
b. 2.528
c. 1.328
d. 1.325 --ANSWER-- 1.328
