Texas A&M Administrators at Texas A&M Universitywere interested in estimating the percentage of students who are the first in their family to go to college. TheA&M student body has about 46,000 members.a) What problems do you see with asking the followingquestion of students? “Are you the first member ofyour family to seek higher education?”b) For each scenario, identify the kind of sample used bythe university administrators:i. Select several dormitories at random and contacteveryone living in the selected dorms.ii. Using a computer-based list of registered students,contact 200 freshmen, 200 sophomores, 200juniors, and 200 seniors selected at random fromeach class. iii. Using a computer-based alphabetical list of reg-istered students, select one of the first 25 on the list by random and then contact the student whosename is 50 names later, and then every 50 namesbeyond that. c) A professor teaching a large lecture class of 350 stu-dents samples her class by rolling a die. Then, starting with the row number on the die (1 to 6), she passes outa survey to every fourth row of the large lecture hall.She says that this is a Simple Random Sample becauseeveryone had an equal opportunity to sit in any seatand because she randomized the choice of rows. Whatdo you think? Be specific.d) For each of these proposed survey designs, identify theproblem and the effect it would have on the estimateof the percentage of students who are the first in theirfamily to go to college.i. Publish an advertisement inviting students to visit awebsite and answer questions.ii. Set up a table in the student union and ask studentsto stop and answer a survey.e) The president of the university plans a speech to analumni group. He plans to talk about the proportionof students who responded in the survey that theyare the first in their family to attend college, but thefirst draft of his speech treats that proportion as theactual proportion of current A&M students who arethe first in their families to attend college. Explain tothe president the difference between the proportion ofrespondents who are first attenders and the proportionof the entire student body that are first attenders. Useappropriate statistics terminology.

Texas A&M Administrators at Texas A&M Universitywere interested in estimating the percentage of students who are the first in their family to go to college. TheA&M student body has about 46,000 members.a) What problems do you see with asking the followingquestion of students? “Are you the first member ofyour family to seek higher education?”b) For each scenario, identify the kind of sample used bythe university administrators:i. Select several dormitories at random and contacteveryone living in the selected dorms.ii. Using a computer-based list of registered students,contact 200 freshmen, 200 sophomores, 200juniors, and 200 seniors selected at random fromeach class. iii. Using a computer-based alphabetical list of reg-istered students, select one of the first 25 on the list by random and then contact the student whosename is 50 names later, and then every 50 namesbeyond that. c) A professor teaching a large lecture class of 350 stu-dents samples her class by rolling a die. Then, starting with the row number on the die (1 to 6), she passes outa survey to every fourth row of the large lecture hall.She says that this is a Simple Random Sample becauseeveryone had an equal opportunity to sit in any seatand because she randomized the choice of rows. Whatdo you think? Be specific.d) For each of these proposed survey designs, identify theproblem and the effect it would have on the estimateof the percentage of students who are the first in theirfamily to go to college.i. Publish an advertisement inviting students to visit awebsite and answer questions.ii. Set up a table in the student union and ask studentsto stop and answer a survey.e) The president of the university plans a speech to analumni group. He plans to talk about the proportionof students who responded in the survey that theyare the first in their family to attend college, but thefirst draft of his speech treats that proportion as theactual proportion of current A&M students who arethe first in their families to attend college. Explain tothe president the difference between the proportion ofrespondents who are first attenders and the proportionof the entire student body that are first attenders. Useappropriate statistics terminology.

MATLAB: An Introduction with Applications

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ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

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Question

Texas A&M Administrators at Texas A&M University
were interested in estimating the percentage of students

who are the first in their family to go to college. The
A&M student body has about 46,000 members.
a) What problems do you see with asking the following
question of students? “Are you the first member of
your family to seek higher education?”
b) For each scenario, identify the kind of sample used by
the university administrators:
i. Select several dormitories at random and contact
everyone living in the selected dorms.
ii. Using a computer-based list of registered students,
contact 200 freshmen, 200 sophomores, 200
juniors, and 200 seniors selected at random from
each class.

iii. Using a computer-based alphabetical list of reg-
istered students, select one of the first 25 on the

list by random and then contact the student whose
name is 50 names later, and then every 50 names
beyond that.

c) A professor teaching a large lecture class of 350 stu-
dents samples her class by rolling a die. Then, starting

with the row number on the die (1 to 6), she passes out
a survey to every fourth row of the large lecture hall.
She says that this is a Simple Random Sample because
everyone had an equal opportunity to sit in any seat
and because she randomized the choice of rows. What
do you think? Be specific.
d) For each of these proposed survey designs, identify the
problem and the effect it would have on the estimate
of the percentage of students who are the first in their
family to go to college.
i. Publish an advertisement inviting students to visit a
website and answer questions.
ii. Set up a table in the student union and ask students
to stop and answer a survey.
e) The president of the university plans a speech to an
alumni group. He plans to talk about the proportion
of students who responded in the survey that they
are the first in their family to attend college, but the
first draft of his speech treats that proportion as the
actual proportion of current A&M students who are
the first in their families to attend college. Explain to
the president the difference between the proportion of
respondents who are first attenders and the proportion
of the entire student body that are first attenders. Use
appropriate statistics terminology.

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