Question

A gaming company would like to test the hypothesis that the average age of someone who uses gaming console A is different from the average age of someone who uses gaming console B. A random sample of 36 gaming console A users had an average age of 34.2 years while a random sample of 30 gaming console B users had an average age of 32.7 years. Assume that the population standard deviation for the age of gaming console A and gaming console B users is 3.9 and 4.0 years, respectively. This company would like to set

alphaαequals=0.10.

Which one of the following statements is true?

A.

Because the p-value is less than

alphaα,

we reject the null hypothesis and can conclude that the average age of gaming console A users is different from the average age of gaming console B users.

B.

Because the p-value is greater than

alphaα,

we fail to reject the null hypothesis and can conclude that the average age of gaming console A users is different from the average age of gaming console B users.

C.

Because the p-value is less than

alphaα,

we fail to reject the null hypothesis and conclude that the average age of gaming console A users is equal to the average age of gaming console B users.

D.

Because the p-value is greater than

alphaα,

we fail to reject the null hypothesis and cannot conclude that the average age of gaming console A users is different from the average age of gaming console B users.

Answer #1

A gaming company would like to test the hypothesis that the
average age of someone who uses gaming console A is different from
the average age of someone who uses gaming console B. A random
sample of 36 gaming console A users had an average age of 34.2
years while a random sample of 30 gaming console B users had an
average age of 32.7 years. Assume that the population standard
deviation for the age of gaming console A and...

Sony would like to test the hypothesis that the standard
deviation for the age of PlayStation users is higher than the
standard deviation for the age of Xbox users. the following table
summarizes sample statistics from each population.
PlayStation
Xbox
Sample Standard Deviation
4.3 years
3.9 years
Sample size
25
28
using a= 0.05, the conclusion for this hypothesis test would be
that because the test statistics is
A) more than the critical value, we reject the null hypothesis
and...

Suppose Sony would like to test the hypothesis that the standard
deviation for the age of PlayStation users is higher than the
standard deviation for the age of Xbox users. The following table
summarizes sample statistics from each population.
Playstation
Xbox
Sample standard deviation
6.5years
1.9 years
Sample size
25
28
Using
alpha?equals=?0.05,
what is the conclusion for this hypothesis? test?
A.
Since the test statistic is more than the critical? value, we
reject the null hypothesis and cannot conclude...

The federal government would like to test the hypothesis that
the standard deviation for the age of men filing for Social
Security is higher than the standard deviation for the age of
women. The following table summarizes sample statistics from each
population.
Women
Men
Sample standard deviation
2.6 years
3.3 years
Sample size
24
20
Using
alpha?equals=?0.10,
what is the critical value for this hypothesis? test?
A.
Since the test statistic is less than the? critical? value, we
reject the...

The federal government would like to test the hypothesis that
the standard deviation for the age of men filing for Social
Security is higher than the standard deviation for the age of
women. The following table summarizes sample statistics from each
population.
Women
Men
Sample standard deviation
2.6 years
3.3 years
Sample size
24
20
Using
alpha?equals=?0.10,
what is the critical value for this hypothesis? test?
A.
Since the test statistic is less than the? critical? value, we
eject the...

The Department of Transportation would like to test the
hypothesis that the average age of cars on the road is less than 12
years. A random sample of 45 cars had an average age of 10.6 years.
It is believed that the population standard deviation for the age
of cars is 4.1 years. The Department of Transportation would like
to set alphaαequals=0.05.
The p-value for this hypothesis test would be ________. Round
to four decimal places.

The Department of Education would like to test the hypothesis
that the average debt load of graduating students with a Bachelor's
degree is equal to $17,000. A random sample of 34 students had an
average debt load of $18,200. It is believed that the population
standard deviation for student debt load is $4,200. The Department
of Education would like to set α = 0.05. The
conclusion for this hypothesis test would be that because the
absolute value of the test statistic...

The age distribution of the Canadian population and the age
distribution of a random sample of 455 residents in the Indian
community of a village are shown below.
Age (years)
Percent of Canadian Population
Observed Number
in the Village
Under 5
7.2%
47
5 to 14
13.6%
68
15 to 64
67.1%
295
65 and older
12.1%
45
Use a 5% level of significance to test the claim that the age
distribution of the general Canadian population fits the age...

The age distribution of the Canadian population and the age
distribution of a random sample of 455 residents in the Indian
community of a village are shown below.
Age (years)
Percent of Canadian Population
Observed Number
in the Village
Under 5
7.2%
52
5 to 14
13.6%
77
15 to 64
67.1%
277
65 and older
12.1%
49
Use a 5% level of significance to test the claim that the age
distribution of the general Canadian population fits the age...

The age distribution of the Canadian population and the age
distribution of a random sample of 455 residents in the Indian
community of a village are shown below.
Age (years)
Percent of Canadian Population
Observed Number
in the Village
Under 5
7.2%
42
5 to 14
13.6%
84
15 to 64
67.1%
286
65 and older
12.1%
43
1. Select the null and alternate
hypotheses.
A. H0: The distributions are
different.
H1: The distributions are different.
B. H0:The distributions are...

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