Question

33. Suppose your group would like to do a research about the
quality of sleeping on doing exercises,

and you believe that the quality of sleeping will significantly be
improved if a person has regular

exercises habit. A study is conducted of a random sample of 16
participants who has not been

exercised for more than 40 days. The duration for the study is 25
days, and each participant needs

to do exercise 30 minutes every day. During the 36 days, the
average total sleeping hours increased

10 minutes, with the standard deviation is 8. Could we conclude
that the quality of sleeping is

significantly affected by doing exercises?

a) Parametric or nonparametric hypotheses?

b) Z distribution, t distribution, chi-square test or hypothesis
test of a proportion

c) Please indicate the null hypotheses.

d) Please indicate the alternative hypotheses

e) Please calculate the stand error? (If it is a chi-square test,
type NA for this question)

f) If z table will be used, type NA for this question. If t table
will be used, indicate the degree of

freedom.

g) Please calculate the statistical value.

h) Hypothesis is supported or no supported, and what is your
conclusion?

Answer #1

32. Suppose a survey is conducted five years ago at a university
showed that there are 500 students out of all the 5000 students
would like to go graduate school after they obtained the bachelor’s
degree. This year a new survey was conducted on a random sample of
500 students from this university, and it was found that 80 of them
would like to go graduate school after they graduate. Do these data
provide convincing evidence to suggest that the...

A friend from your statistics study group, Jack, gave this
observation during a study session:
“Assuming the null hypothesis is true, the expected value of
every test statistic we have seen this semester, whether it is a z,
t, or chi-square test statistic, is 0.”
Form an appropriate response for your study group regarding Jack's
statement.
In your response, be sure to comment on the following:
1) For z tests about population proportions: what is the
distribution and the corresponding...

For the following,
indicate what type of analysis (test) you would perform and what
alternative hypothesis you are testing. If you think a directional
test is appropriate, make sure you incorporate this in the
alternative hypothesis. In your answer, please indicate 2 things:
the type of analysis AND the alternative hypothesis
You measure both
length and width of three species of barnacle. You are trying to
figure out if there is a difference between these three species.
You measure 22...

or the following, indicate what type of analysis (test) you
would perform and what alternative hypothesis you are testing. If
you think a directional test is appropriate, make sure you
incorporate this in the alternative hypothesis. In your answer,
please indicate 2 things: the type of analysis AND the alternative
hypothesis Important: You may not know how to do the correct
analysis. If this is the case, simply write “talk to a
statistician” or “I wasn't taught this” as the...

2. A researcher would like to determine if the average height of
MLB players is greater than the population mean of adult male
Americans, 69.3 inches. He takes a sample of 6 MLB players and
calculates x ̄ = 72.5in and s = 3.27in. He decides to conduct this
study with a hypothesis test at the 5% level of significance.
Assume that heights of MLB players follow a normal
distribution.
(a) State the hypotheses for this test.
(b) Which is...

Do different types of hospitals have different practices when
submitting insurance claims? Suppose an insurance examiner and his
team compare the results of 27126 randomly selected health
insurance claims to actual patient records. Insurance claims in the
study came from three types of hospitals: public, private, and
university hospitals. Of the 27126 claims evaluated, 15012 were
confirmed to be accurate, 4981 contained errors but did not require
recoding of the healthcare services provided, and 7133 were
incorrect and required recoding...

The following table shows the Myers-Briggs personality
preference and area of study for a random sample of 519 college
students. In the table, IN refers to introvert, intuitive; EN
refers to extrovert, intuitive; IS refers to introvert, sensing;
and ES refers to extrovert, sensing.
Myers-Briggs
Preference
Arts &
Science
Business
Allied
Health
Row
Total
IN
63
9
24
96
EN
85
44
25
154
IS
52
36
27
115
ES
79
47
28
154
Column
Total
279
136
104
519...

The following table shows the Myers-Briggs personality
preference and area of study for a random sample of 519 college
students. In the table, IN refers to introvert, intuitive; EN
refers to extrovert, intuitive; IS refers to introvert, sensing;
and ES refers to extrovert, sensing.
Myers-Briggs
Preference
Arts &
Science
Business
Allied
Health
Row
Total
IN
64
17
15
96
EN
87
43
24
154
IS
60
30
25
115
ES
70
39
45
154
Column
Total
281
129
109
519...

An advertising firm wishes to demonstrate to potential clients
the effectiveness of the advertising campaigns it has conducted.
The firm is presenting data from
9
recent campaigns, with the data indicating a correlation between
advertising and sales. In particular,
r=0.61
for the variables cost of advertising campaign and
resulting percentage increase in sales for the
9
campaigns.
Using this information, test for a significant linear
relationship between these two variables by doing a hypothesis test
regarding the population correlation coefficient...

Your statistics professor is involved in another educational
outreach program designed to decrease participants’ levels of
stress. She designed a study in which participants were randomly
assigned to two groups. One group completed a 30-minute meditation.
A second, control group watched television for 30-minutes. After 30
minutes, participants reported their level of stress.
Your professor, again, asks for your assistance. She predicts
that the average level of stress will differ significantly between
the meditation and control groups. She wants to...

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