In: Statistics and Probability

College students were randomly sorted into one of two groups.
Members of each group performed a series of mental tasks while
music was playing in the background. One group listened to pop
music and the other to country music. It is hypothesized that music
will effect the number of tasks completed. What can be concluded
with an α of 0.10? The results are below:

pop |
country |

_{1} = 39.31
n _{1} = 10 |
_{2} = 44.15
n _{2} = 12 |

**b)**

Condition 1: (choose one)

1) pop music 2) school 3) country music 4) mental task
5)music

Condition 2:

1) pop music 2) school 3) country music 4) mental task
5)music

**c)** Obtain/compute the appropriate values to
make a decision about *H*_{0}.

(Hint: Make sure to write down the null and alternative hypotheses
to help solve the problem.)

critical value =____________ ; test statistic =
________________

Decision: ---Select--- Reject H0 Fail to reject H0

**d)** If appropriate, compute the CI. If not
appropriate, input "na" for both spaces below.

[ ________, ___________ ]

**e)** Compute the corresponding effect size(s) and
indicate magnitude(s).

If not appropriate, input and/or select "na" below.

*d* = _____________ ; (choose one) 1) na 2)
trivial effect 3) small effect 4) medium effect 5) large
effect

*r*^{2} = ____________ ; (choose one) 1)
na 2) trivial effect 3) small effect 4) medium effect 5) large
effect

**f)** Make an interpretation based on the
results.

1) Students that listened to pop music significantly completed more tasks.

2) Students that listened to country music significantly completed more tasks.

3) Music had no significant effect on the number of tasks completed.

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College students were randomly sorted into one of two groups.
Members of each group performed a series of mental tasks while
music was playing in the background. One group listened to pop
music and the other to country music. It is hypothesized that more
tasks will be completed with pop than with country music. What can
be concluded with α = 0.05? The results are below:
pop
country
mean 1 = 47.14
sigma hat 1 =3.77
n1 = 15
mean...

College students were randomly sorted into one of two groups.
Members of each group performed a series of mental tasks while
music was playing in the background. One group listened to pop
music and the other to country music. It is hypothesized that music
will influence the number of tasks completed. What can be concluded
with an α of 0.10? The results are below:
pop
country
1 = 34.34
1 =
5.33
n1 = 16
2 = 37.05
2 =...

: Students from Elementary school were randomly
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concept using a different teaching method. At the end of the
teaching period, progress was measured by a unit test. The scores
of shown below: (one child in group three was absent on the day the
test was administered.)
(1) Construct an ANOVA table
(2) Do the data present significant evidence to indicate a
difference in the average scores for the four...

12 subjects in a study were randomly assigned into two
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on how to do so. They were then asked to make paper cranes for the
next hour. The number of paper cranes each subject made was
recorded and is listed in the table below. The researchers are
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A group of 43 college students from a certain liberal arts
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alcoholic drinks they have in a typical week. The purpose of this
study was to compare the drinking habits of the students at the
college to the drinking habits of college students in general. In
particular, the dean of students, who initiated this study, would
like to check whether the mean number of alcoholic drinks that
students at his...

A group of 70 college students from a certain liberal arts
college were randomly sampled and asked about the number of
alcoholic drinks they have in a typical week. The purpose of this
study was to compare the drinking habits of the students at the
college to the drinking habits of college students in general. In
particular, the dean of students, who initiated this study, would
like to check whether the mean number of alcoholic drinks that
students at his...

Depressed patients were randomly assigned to one of three
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four weeks of treatment, the patients completed the Beck Depression
Inventory. The higher the score, the more depressed the
patient.
We are now also interested if a patient's weight has an effect
on the drug's effectiveness. Patients were categorized as either
underweight, overweight, or 'medium...

Depressed patients were randomly assigned to one of three
groups: a placebo group, a group that received a moderate dose of
the drug, and a group that received a high dose of the drug. After
four weeks of treatment, the patients completed the Beck Depression
Inventory. The higher the score, the more depressed the
patient.
We are now also interested if a patient's weight has an effect
on the drug's effectiveness. Patients were categorized as either
underweight, overweight, or 'medium...

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group of participants takes a pill each morning for a year which
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Results were:
GROUP 1 GROUP 2
ANTIOXIDANTS PLACEBO (CONTROL)
N = 14 ...

Twenty laboratory mice were randomly divided into two groups of
10. Each group was fed according to a prescribed diet. At the end
of 3 weeks, the weight gained by each animal was recorded. Do the
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weight gained on diet B was greater than the mean weight gained on
diet A, at the α = 0.05 level of significance? Assume normality.
(Use Diet B - Diet A.) Diet A...

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