Question

1. A dean of a business school is interested in determining whether the mean grade point average (GPA) of students is less than 3.04. The population standard deviation is 0.41 A random sample of 200 students indicates a sample mean GPA of 2.94. A test is conducted at the 0.05 level of significance to determine whether the mean grade point average (GPA) of students is less than 3.04. What are the most appropriate null and alternative hypotheses for this test?

A. *H*_{0}: *µ* ≤
3.04 versus *H*_{1}:
*µ* > 3.04

B. *H*_{0}: *µ* ≥
3.04 versus *H*_{1}:
*µ* < 3.04

C. *H*_{0}: *µ* = 3.04
versus *H*_{1}: *µ* ≠
3.04

D. *H*_{0}: *µ* < 3.04
versus *H*_{1}: *µ* ≥
3.04

2. After interviewing a sample of 100 residents of New Taipei
City, you find that the mean AGE of the sample respondents is 35
years with a standard deviation of 5.0, and that AGE seems fairly
normally distributed. However, you are told that the average age of
New Taipei City is less than 37 years ten years ago. Based on your
sample data, you need to test whether the true average age of all
New Taipei City residents is still less than 37 years now. At
*α* = 0.05, calculate the test statistic and determine the
statistical decision.

A. *t*_{STAT} = +4 and do not reject
*H*_{0}.

B. *t*_{STAT} = +4 and reject
*H*_{0}.

C. *t*_{STAT} = –4 and do not reject
*H*_{0}.

D. *t*_{STAT} = –4 and reject
*H*_{0}.

3.A report announced that the mean sales price of all new houses sold one year was $272,000. Assume that the population standard deviation of the prices is $100,000. If you select a random sample of 100 new houses, there is 70% chance that the sample mean sales price is higher than how much?

A. $266,750

B. $282,400

C. $277,250

D. $261,600

4. A prospective developer of a shopping mall in an area believes that the average annual income per capita in the area is $280,000. Historical data suggest that for the type of area involved household incomes per capita are skewed. The population standard deviation can be accepted as being equal to $22,000, based on an earlier study. The prospective developer wants to estimate the true mean annual income per capita in the area. For a random sample of 25 individuals, the mean annual income is found to be $265,000. Using the 95% confidence level, what is the interval estimate of the true mean income per capita in the area?

A. No solution

B. $255,918.84 to $274,081.16

C. $271,376 to $288,624

D. $256,376 to $273,624

Answer #1

After interviewing a sample of 100 residents of New Taipei City,
you find that the mean AGE of the sample respondents is 35 years
with a standard deviation of 5.0, and that AGE seems fairly
normally distributed. However, you are told that the average age of
New Taipei City is less than 37 years ten years ago. Based on your
sample data, you need to test whether the true average age of all
New Taipei City residents is still less...

A dean of a business school is interested in determining whether
the mean grade point average (GPA) of students is different from
3.04. The population standard deviation is 0.41. A random sample of
200 students indicates a sample mean GPA of 2.94. A test is
conducted at the 0.05 level of significance to determine whether
the mean grade point average (GPA) of students is different from
3.04. What is the test statistic value in this test?
Select one:
a. -0.244...

After interviewing a sample of 100 residents of New Taipei City,
you find that the mean AGE of the sample respondents is 35 years
with a standard deviation of 5.0, and that AGE seems fairly
normally distributed. However, you are told that the average age of
New Taipei City is less than 37 years ten years ago. Based on your
sample data, you need to test whether the true average age of all
New Taipei City residents is still less...

Test the claim that the mean GPA of night students is larger
than the mean GPA of day students at the 0.10 significance
level.
The null and alternative hypothesis would be:
H0:μN≤μD
H1:μN>μD
H0:μN≥μD
H1:μN<μD
H0:pN≤pD
H1:pN>pD
H0:μN=μD
H1:μN≠μD
H0:pN=pD
H1:pN≠pD
H0:pN≥pD
H1:pN<pD
The test is:
two-tailed
left-tailed
right-tailed
The sample consisted of 35 night students, with a sample mean GPA
of 2.74 and a standard deviation of 0.07, and 35 day students, with
a sample mean GPA of 2.73...

Suppose a video teaching method will be adopted if a hypothesis
test supports the conclusion that the video teaching method
increases the mean grade point average (GPA) of students. Now, the
mean GPA of students for the current face-to face teaching method
is 3.04. Which of the following is FALSE?
Select one:
A. Type II error may be made when the hypothesis test
concludes that the video teaching method will not be adopted but
actually the mean GPA of students...

Test the claim that the mean GPA of Orange Coast students is
larger than the mean GPA of Coastline students at the 0.005
significance level.
The null and alternative hypothesis would be:
H0:μO≤μCH0:μO≤μC
H1:μO>μCH1:μO>μC
H0:pO=pCH0:pO=pC
H1:pO≠pCH1:pO≠pC
H0:pO≥pCH0:pO≥pC
H1:pO<pCH1:pO<pC
H0:μO=μCH0:μO=μC
H1:μO≠μCH1:μO≠μC
H0:μO≥μCH0:μO≥μC
H1:μO<μCH1:μO<μC
H0:pO≤pCH0:pO≤pC
H1:pO>pCH1:pO>pC
The test is:
right-tailed
left-tailed
two-tailed
The sample consisted of 40 Orange Coast students, with a sample
mean GPA of 2.11 and a standard deviation of 0.05, and 40 Coastline
students, with a sample mean GPA...

Test the claim that the mean GPA of night students is larger
than the mean GPA of day students at the .005 significance
level.
The null and alternative hypothesis would be:
H0:pN=pDH0:pN=pD
H1:pN<pDH1:pN<pD
H0:pN=pDH0:pN=pD
H1:pN>pDH1:pN>pD
H0:μN=μDH0:μN=μD
H1:μN≠μDH1:μN≠μD
H0:μN=μDH0:μN=μD
H1:μN>μDH1:μN>μD
H0:pN=pDH0:pN=pD
H1:pN≠pDH1:pN≠pD
H0:μN=μDH0:μN=μD
H1:μN<μDH1:μN<μD
The test is:
left-tailed
two-tailed
right-tailed
The sample consisted of 70 night students, with a sample mean GPA
of 2.58 and a standard deviation of 0.04, and 30 day students, with
a sample mean GPA of 2.53...

Test the claim that the mean GPA of night students is
significantly different than the mean GPA of day students at the
0.2 significance level.
The null and alternative hypothesis would be:
H0:pN=pD
H1:pN<pD
H0:pN=pD
H1:pN≠pD
H0:pN=pD
H1:pN>pD
H0:μN=μD
H1:μN≠μD
H0:μN=μD
H1:μN<μD
H0:μN=μD
H1:μN>μD
The test is:
two-tailed
right-tailed
left-tailed
The sample consisted of 25 night students, with a sample mean GPA
of 2.01 and a standard deviation of 0.08, and 60 day students, with
a sample mean GPA of...

Test the claim that the mean GPA of night students is
significantly different than the mean GPA of day students at the
0.1 significance level.
The null and alternative hypothesis would be:
H0:μN=μDH0:μN=μD
H1:μN<μDH1:μN<μD
H0:μN=μDH0:μN=μD
H1:μN≠μDH1:μN≠μD
H0:pN=pDH0:pN=pD
H1:pN>pDH1:pN>pD
H0:μN=μDH0:μN=μD
H1:μN>μDH1:μN>μD
H0:pN=pDH0:pN=pD
H1:pN≠pDH1:pN≠pD
H0:pN=pDH0:pN=pD
H1:pN<pDH1:pN<pD
The test is:
left-tailed
two-tailed
right-tailed
The sample consisted of 65 night students, with a sample mean GPA
of 2.66 and a standard deviation of 0.06, and 40 day students, with
a sample mean GPA of...

1. Test the claim that the mean GPA of night students is smaller
than the mean GPA of day students at the .05 significance
level.
The null and alternative hypothesis would be:
H0:μN≤μDH0:μN≤μD
H1:μN>μDH1:μN>μD
H0:pN≥pDH0:pN≥pD
H1:pN<pDH1:pN<pD
H0:pN=pDH0:pN=pD
H1:pN≠pDH1:pN≠pD
H0:pN≤pDH0:pN≤pD
H1:pN>pDH1:pN>pD
H0:μN≥μDH0:μN≥μD
H1:μN<μDH1:μN<μD
H0:μN=μDH0:μN=μD
H1:μN≠μDH1:μN≠μD
The test is:
right-tailed
two-tailed
left-tailed
The sample consisted of 30 night students, with a sample mean GPA
of 3.33 and a standard deviation of 0.03, and 40 day students, with
a sample mean GPA of...

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