Question

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

b. -3.449

c. +3.449

d. +0.244

A researcher reported that the 95% confidence interval for the mean ranged from 460 to 540. He knew that the population is normally distributed. He was sure that the mean of the sample was 500, the standard deviation of the sample was 160. The reported confidence interval may be interpreted as:

Select one:

a. None of the other choices

b. The chance that the population mean equals to the sample mean is 95%.

c. We are 95% confident that the population mean is between 460 and 540.

d. 95% of the sample means are between 460 and 540.

According to a poll on customer behavior, 30% of people say they will only consider cars manufactured in their country when purchasing a new car. Suppose you select a random sample of 180 respondents. The probability is 80% that the sample percentage will be contained within what symmetrical limits of the population percentage?

Select one:

a. 23.3% and 36.7%

b. 24.4% and 35.6%

c. 25.6% and 34.4%

d. 27.1% and 32.9%

The following table shows the number of weekly traffic accidents occurred on a bridge in a sample during a particular year.

Number of Weekly Accidents |
0 |
1 |
2 |
3 |
4 |
5 |

Number of Weeks |
8 |
13 |
12 |
4 |
2 |
1 |

Find the mean number of weekly accidents.

Select one:

a. 8

b. 2

c. 6.67

d. 1.55

Answer #1

1 ) Define , : Population mean of the grade point average (GPA) of students

To test :

Test statistic :

where ,

**The value of the test statistic :
**

2 ) c. We are 95% confident that the population mean is between 460 and 540.

The correct option is ( c ) .

3 ) Upper bound =

Lower bound =

where , and

The correct option is ( c )

4 ) The frequency distribution table is given below :

X ( xi ) | Frequency ( fi ) |

0 | 8 |

1 | 13 |

2 | 12 |

3 | 4 |

4 | 2 |

5 | 1 |

Total | 40 |

Mean :

The correct option is ( d ) .

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 researcher reported that the 95% confidence interval for the
mean ranged from 460 to 540. He knew that the population is
normally distributed. He was sure that the mean of the sample was
500, the standard deviation of the sample was 160, but he could not
remember the exact sample size. Can we help him out finding the
sample size?
Select one:
A. 8
B. 62
C. 16
D. 44

You draw a random sample of 626 Fort Hays State students and
measure their Grade Point Average. The mean GPA of the sample is
3.0, with a standard deviation of .5. What would be the 95%
confidence interval for the GPA of the population of all Fort Hays
State students.
2.759 to 3.241
2.815 to 3.185
2.881 to 3.119
2.96 to 3.04

According to a poll on customer behavior, 30% of people say they
will only consider cars manufactured in their country when
purchasing a new car. Suppose you select a random sample of 180
respondents. The probability is 80% that the sample percentage will
be contained within what symmetrical limits of the population
percentage?
Select one:
a. 24.4% and 35.6%
b. 23.3% and 36.7%
c. 27.1% and 32.9%
d. 25.6% and 34.4%

According to a poll on customer behavior, 30% of people say they
will only consider cars manufactured in their country when
purchasing a new car. Suppose you select a random sample of 180
respondents. The probability is 80% that the sample percentage will
be contained within what symmetrical limits of the population
percentage?
Select one:
a. 27.1% and 32.9%
b. 25.6% and 34.4%
c. 24.4% and 35.6%
d. 23.3% and 36.7%

According to a poll on customer behavior, 30% of people say they
will only consider cars manufactured in their country when
purchasing a new car. Suppose you select a random sample of 180
respondents. The probability is 80% that the sample percentage will
be contained within what symmetrical limits of the population
percentage? Select one:
a. 27.1% and 32.9%
b. 25.6% and 34.4%
c. 24.4% and 35.6%
d. 23.3% and 36.7%

In a recent survey conducted by a professor of UM, 200 students
were asked whether or not they have a satisfying experience with
the e-learning approach adopted by the school in the current
semester. Among the 200 students interviewed, 121 said they have a
satisfying experience. What is the 99% confidence interval for the
proportion of all UM students who have a satisfying experience with
the e-learning approach?
Select one:
a. 0.548 to 0.662
b. 0.524 to 0.686
c. 0.537...

You are interested in determining whether the grades of current
high school students in Grand Forks are different than the grades
of past students. The state board of education is able to tell you
that the mean GPA for students graduating in Grand Forks in the
past 40 years is 2.82, but that is all the information they have.
You randomly select 90 students who are about to graduate and
compute their mean GPA. Which statistical test will tell you...

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...

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...

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