QMB 3200 COMPREHENSIVE 2027 ANSWERS AND
QUESTIONS SET A+
✔✔A company wants to identify which of the two production methods has the smaller
completion time. One sample of workers is 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 - ✔✔Matched samples.
✔✔Regarding inferences about the difference between two population means, the
alternative to the matched sample design, as covered in the textbook, is -
✔✔independent samples.
✔✔When developing an interval estimate for the difference between two sample
means, with sample sizes of n1 and n2 - ✔✔n1 and n2 can be of different sizes
✔✔A doctor would like to know if men and women got the same amount of sleep per
night or if women tended to get less sleep than men. He took a random sample of 100
of his male and 100 of his female patients and asked them how many hours of sleep
they got, per night, on average. The women slept an average of 6.75 hours and the men
slept an average of 7.5 hours. Suppose we also knew the population standard
deviations to be 1.25 hours and 1.5 hours for men and women, respectively. Formulate
the null and alternative hypotheses to test whether women sleep less than men do, on
average - ✔✔H0:: Um-Um=0, Ha: Um-UW<0
✔✔In most applications of the interval estimation and hypothesis testing procedures,
random samples withn1 ≥ 30 and n2 ≥ 30 are adequate. In cases where either or both
sample sizes are less than 30 - ✔✔the distribution of the populations becomes an
important consideration.
✔✔The sampling distribution of is approximated by a - ✔✔Normal distribution.
✔✔A local entrepreneur would like to know if those who live in a rural community are
more likely to buy a real Christmas tree than those who live in an urban community. He
, takes a random sample of 100 people who reside in the city and a separate random
sample of 100 people who live in the country and asks them if they buy a real tree at
Christmas time. Of the urban participants, 22 buy a real tree. Of the rural participants,
28 buy a real tree. Let P1= the proportion of all people who live in rural communities and
buy a real Christmas tree, and let P2 = the proportion of all people who live in urban
communities and buy a real Christmas tree. State the null and alternative hypotheses. -
✔✔H0: p1-p2<0, Ha:p1-p2>0
✔✔The sampling distribution of P1-P2 is approximated by a normal distribution when -
✔✔N1P1,N1(1-P1), N2P2, and N2(1-P2) are all greater than or equal to 5.
✔✔When completing a two-tailed hypothesis test about the difference between two
population means, - ✔✔the p-value must be doubled.
✔✔If two large independent random samples are taken from two populations, the
sampling distribution of the difference between the two sample means - ✔✔can be
approximated by a normal distribution.
✔✔Regarding hypothesis tests about , the pooled estimate of P is a - ✔✔weighted
average of P1 and P2.
✔✔When x is unknown, which of the following is used to estimate x? s Suppose we
have a t distribution based upon two sample means with unknown population standard
deviations, which we are unwilling to assume are equal. When we calculate the
appropriate degrees of freedom, we should - ✔✔round the calculated degrees of
freedom down to the nearest integer.
✔✔If we are interested in testing whether the proportion of items in population 1 is
larger than the proportion of items in population 2, then the - ✔✔alternative hypothesis
should state.
✔✔In regression analysis, the equation in the form y = 𝛽0 + 𝛽1x + ε is called the -
✔✔Regression model.
✔✔The model developed from sample data that has the form y^hat=bo+b1x is known
as the - ✔✔regression equation.
✔✔The tests of significance in regression analysis are based on several assumptions
about the error term ɛ. Additionally, we make an assumption about the form of the
relationship between x and y. We assume that the relationship between x and y is -
✔✔Linear.
QUESTIONS SET A+
✔✔A company wants to identify which of the two production methods has the smaller
completion time. One sample of workers is 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 - ✔✔Matched samples.
✔✔Regarding inferences about the difference between two population means, the
alternative to the matched sample design, as covered in the textbook, is -
✔✔independent samples.
✔✔When developing an interval estimate for the difference between two sample
means, with sample sizes of n1 and n2 - ✔✔n1 and n2 can be of different sizes
✔✔A doctor would like to know if men and women got the same amount of sleep per
night or if women tended to get less sleep than men. He took a random sample of 100
of his male and 100 of his female patients and asked them how many hours of sleep
they got, per night, on average. The women slept an average of 6.75 hours and the men
slept an average of 7.5 hours. Suppose we also knew the population standard
deviations to be 1.25 hours and 1.5 hours for men and women, respectively. Formulate
the null and alternative hypotheses to test whether women sleep less than men do, on
average - ✔✔H0:: Um-Um=0, Ha: Um-UW<0
✔✔In most applications of the interval estimation and hypothesis testing procedures,
random samples withn1 ≥ 30 and n2 ≥ 30 are adequate. In cases where either or both
sample sizes are less than 30 - ✔✔the distribution of the populations becomes an
important consideration.
✔✔The sampling distribution of is approximated by a - ✔✔Normal distribution.
✔✔A local entrepreneur would like to know if those who live in a rural community are
more likely to buy a real Christmas tree than those who live in an urban community. He
, takes a random sample of 100 people who reside in the city and a separate random
sample of 100 people who live in the country and asks them if they buy a real tree at
Christmas time. Of the urban participants, 22 buy a real tree. Of the rural participants,
28 buy a real tree. Let P1= the proportion of all people who live in rural communities and
buy a real Christmas tree, and let P2 = the proportion of all people who live in urban
communities and buy a real Christmas tree. State the null and alternative hypotheses. -
✔✔H0: p1-p2<0, Ha:p1-p2>0
✔✔The sampling distribution of P1-P2 is approximated by a normal distribution when -
✔✔N1P1,N1(1-P1), N2P2, and N2(1-P2) are all greater than or equal to 5.
✔✔When completing a two-tailed hypothesis test about the difference between two
population means, - ✔✔the p-value must be doubled.
✔✔If two large independent random samples are taken from two populations, the
sampling distribution of the difference between the two sample means - ✔✔can be
approximated by a normal distribution.
✔✔Regarding hypothesis tests about , the pooled estimate of P is a - ✔✔weighted
average of P1 and P2.
✔✔When x is unknown, which of the following is used to estimate x? s Suppose we
have a t distribution based upon two sample means with unknown population standard
deviations, which we are unwilling to assume are equal. When we calculate the
appropriate degrees of freedom, we should - ✔✔round the calculated degrees of
freedom down to the nearest integer.
✔✔If we are interested in testing whether the proportion of items in population 1 is
larger than the proportion of items in population 2, then the - ✔✔alternative hypothesis
should state.
✔✔In regression analysis, the equation in the form y = 𝛽0 + 𝛽1x + ε is called the -
✔✔Regression model.
✔✔The model developed from sample data that has the form y^hat=bo+b1x is known
as the - ✔✔regression equation.
✔✔The tests of significance in regression analysis are based on several assumptions
about the error term ɛ. Additionally, we make an assumption about the form of the
relationship between x and y. We assume that the relationship between x and y is -
✔✔Linear.
