Question 1
A hypothesis is an assumption about a population parameter such as a mean or a proportion.
True
False
Question 2
The alternative hypothesis, denoted by H0, represents the status quo and involves stating the
belief that the population parameter is, ≤, =, or ≥ a specific value.
True
False Question 3
The null hypothesis is believed to be true unless there is overwhelming evidence to the contrary.
True
False Question 4
A professor would like to test the hypothesis that the average number of minutes that a student
needs to complete a statistics exam is equal to 45 minutes. The correct hypothesis statement
would be _______________.
H0: = 45; H1: > 45
H0: = 45; H1 45 H0:
H0: 45; H1:
= 45; H1: = 45
< 45 Question 5
Black Diamond produces climbing equipment and would like to test whether a new steel
carabiner has an average breaking strength greater than 25 Kn (kilonewtons). A Type II error
would occur if the testers conclude that the average breaking strength is
_____________________.
greater than 25 Kn when, in reality, the average breaking strength is less than or equal to 25
Kn
equal to 25 Kn when, in reality, the average breaking strength is greater than 25 Kn
less than 25 Kn when, in reality, the average breaking strength is not equal to 25 Kn
less than equal to 25 Kn when, in reality, the average breaking strength is greater than 25
Kn
Question 6 When conducting a hypothesis test for the population mean when sigma is known and the sample
size is 30 or more, the test statistic follows the ______________________
Student's t-distribution
binomial distribution
normal distribution
exponential distribution Question 7
YouTube would like to test the hypothesis that the average length of an online video watched by
a user is more than 8 minutes. A random sample of 37 people watched online videos that
averaged 8.7 minutes in length. It is believed that the population standard deviation for the length
of online videos is 2.5 minutes. YouTube would like to set α = 0.02. The critical value for this
hypothesis test would be _______.
2.05
1.96
1.645
1.28 Question 8
YouTube would like to test the hypothesis that the average length of an online video watched by
a user is more than 8 minutes. A random sample of 37 people watched online videos that
averaged 8.7 minutes in length. It is believed that the population standard deviation for the length
of online videos is 2.5 minutes. YouTube would like to set α = 0.02. The test statistic for this
hypothesis test would be _______.
t = 1.89
z = 1.70
t = 2.06 z = 2.23 Question 9
YouTube would like to test the hypothesis that the average length of an online video watched by
a user is more than 8 minutes. A random sample of 37 people watched online videos that
averaged 8.7 minutes in length. It is believed that the population standard deviation for the length
of online videos is 2.5 minutes. YouTube would like to set α = 0.02. The conclusion for this
hypothesis test would be that because the test statistic is ___________.
more than the critical value, we can conclude that the average length of an online video is
more than 8 minutes
more than the critical value, we can conclude that the average length of an online video is not more than 8 minutes
less than the critical value, we can conclude that the average length of an online video is not
more than 8 minutes
less than the critical value, we can conclude that the average length of an online video is
more than 8 minutes
Question 10
The next group of questions will pertain to the following setup. The Department of Labor would
like to test the hypothesis that the average hourly wage for recent college graduates is less than
$20. A random sample of 24 recent college graduates averaged $19.30 per hour with a standard
deviation of $3.20 per hour. The Department of Labor would like to set α = 0.10. Q1: What is the correct hypothesis statement?
H0 : $20 H1: $20 H0:
H1: H0:
H1: Question 11
The next group of questions will pertain to the following setup. The Department of Labor would
like to test the hypothesis that the average hourly wage for recent college graduates is less than
$20. A random sample of 24 recent college graduates averaged $19.30 per hour with a standard
deviation of $3.20 per hour. The Department of Labor would like to set α = 0.10.
Q2: What is the critical t value ( tα)? Question 12
The next group of questions will pertain to the following setup. The Department of Labor would
like to test the hypothesis that the average hourly wage for recent college graduates is less than
$20. A random sample of 24 recent college graduates averaged $19.30 per hour with a standard
deviation of $3.20 per hour. The Department of Labor would like to set α = 0.10. Q3: What is the test statistic ( tx‾) for this problem? Question 13
The next group of questions will pertain to the following setup. The Department of Labor would
like to test the hypothesis that the average hourly wage for recent college graduates is less than
$20. A random sample of 24 recent college graduates averaged $19.30 per hour with a standard
deviation of $3.20 per hour. The Department of Labor would like to set α = 0.10. Q4: Within what range does the p-value for this problem lie?
0.10 and 0.20
0.05 and 0.15
0.10 and 0.35
0.15 and 0.25 Question 14
The next group of questions will pertain to the following setup. The Department of Labor would
like to test the hypothesis that the average hourly wage for recent college graduates is less than
$20. A random sample of 24 recent college graduates averaged $19.30 per hour with a standard
deviation of $3.20 per hour. The Department of Labor would like to set α = 0.10. Q5: Because the p-value ≥ α, we reject the null hypothesis. Therefore, the Department of
Labor concludes there is not sufficient evidence to support the null hypothesis. True
False Question 15
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
α=0.05.The p-value for this hypothesis test would
be ____________. Question 16
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
α=0.05.Which of the following statements is true?
Because the p-value is greater than , we reject the null hypothesis and cannot conclude
that the average age of cars on the road is less than 12 years.
Because the p-value is greater than , we fail to reject the null hypothesis and cannot
conclude that the average age of cars on the road is less than 12 years.
Because the p-value is less than , we fail to reject the null hypothesis and conclude that
the average age of cars on the road is less than 12 years.
Because the p-value is less than , we reject the null hypothesis and conclude that the
average age of cars on the road is less than 12 years.

 

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