A medical researcher wants to determine if the average hospital
stay of patients that undergo a certain procedure is greater than
9.1 days. The hypotheses for this scenario are as follows: Null
Hypothesis: μ ≤ 9.1, Alternative Hypothesis: μ > 9.1. If the
researcher takes a random sample of patients and calculates a
pvalue of 0.2003 based on the data, what is the appropriate
conclusion? Conclude at the 5% level of significance.
Question 5 options:

1)

The true average hospital stay of patients is significantly
longer than 9.1 days. 


2)

We did not find enough evidence to say a significant difference
exists between the true average hospital stay of patients and 9.1
days. 


3)

We did not find enough evidence to say the true average
hospital stay of patients is longer than 9.1 days. 


4)

We did not find enough evidence to say the true average
hospital stay of patients is shorter than 9.1 days. 


5)

The true average hospital stay of patients is shorter than or
equal to 9.1 days. 

Question 6 (1 point)
You are interested in whether the average lifetime of Duracell
AAA batteries is different from the average lifetime of Energizer
AAA batteries. If Duracell is considered group 1 and Energizer
group 2, what are the hypotheses for this test?
Question 6 options:

1)

H_{O}: μ_{1} ≠ μ_{2}
H_{A}: μ_{1} = μ_{2} 


2)

H_{O}: μ_{1} ≥ μ_{2}
H_{A}: μ_{1} < μ_{2} 


3)

H_{O}: μ_{1} ≤ μ_{2}
H_{A}: μ_{1} > μ_{2} 


4)

H_{O}: μ_{1} > μ_{2}
H_{A}: μ_{1} ≤ μ_{2} 


5)

H_{O}: μ_{1} = μ_{2}
H_{A}: μ_{1} ≠ μ_{2} 

Question 7 (1 point)
The owner of a local golf course wants to examine the difference
between the average ages of males and females that play on the golf
course. Specifically, he wants to test is if the average age of
males is greater than the average age of females. Assuming males
are considered group 1 and females are group 2, this means the
hypotheses he wants to tests are as follows: Null Hypothesis:
μ_{1} ≤ μ_{2}, Alternative Hypothesis:
μ_{1} > μ_{2}. He randomly samples 30 men and 26
women that play on his course. He finds the average age of the men
to be 34.26 with a standard deviation of 16.767. The average age of
the women was 30.53 with a standard deviation of 18.195. If the
owner conducts a hypothesis test, what is the test statistic and
what is the pvalue? Assume the population standard deviations are
the same.
Question 7 options:

1)

Test Statistic: 0.798, PValue: 0.2142 


2)

Test Statistic: 0.798, PValue: 0.7858 


3)

Test Statistic: 0.798, PValue: 0.2142 


4)

Test Statistic: 0.798, PValue: 0.4284 


5)

Test Statistic: 0.798, PValue: 0.7858 

Question 8 (1 point)
You are interested in whether the average lifetime of Duracell
AAA batteries is greater than the average lifetime of Energizer AAA
batteries. You lay out your hypotheses as follows: Null Hypothesis:
μ_{1} ≤ μ_{2}, Alternative Hypothesis:
μ_{1} > μ_{2}. After running a two independent
samples ttest, you see a pvalue of 0.6598. What is the
appropriate conclusion?
Question 8 options:

1)

We did not find enough evidence to say a significant difference
exists between the average lifetime of Duracell AAA batteries and
the average lifetime of Energizer AAA batteries. 


2)

We did not find enough evidence to say the average lifetime of
Duracell AAA batteries is greater than the average lifetime of
Energizer AAA batteries. 


3)

The average lifetime of Duracell AAA batteries is significantly
greater than the average lifetime of Energizer AAA batteries. 


4)

The average lifetime of Duracell AAA batteries is less than or
equal to the average lifetime of Energizer AAA batteries. 


5)

We did not find enough evidence to say the average lifetime of
Duracell AAA batteries is less than the average lifetime of
Energizer AAA batteries. 

Question 9 (1 point)
It is believed that students who begin studying for final exams
a week before the test score differently than students who wait
until the night before. Suppose you want to test the hypothesis
that students who study one week before score less than students
who study the night before. A hypothesis test for two independent
samples is run based on your data and a pvalue is calculated to be
0.0362. What is the appropriate conclusion?
Question 9 options:

1)

The average score of students who study one week before a test
is significantly different from the average score of students who
wait to study until the night before a test. 


2)

We did not find enough evidence to say the average score of
students who study one week before a test is less than the average
score of students who wait to study until the night before a
test. 


3)

The average score of students who study one week before a test
is significantly less than the average score of students who wait
to study until the night before a test. 


4)

The average score of students who study one week before a test
is greater than or equal to the average score of students who wait
to study until the night before a test. 


5)

The average score of students who study one week before a test
is significantly greater than the average score of students who
wait to study until the night before a test. 
