Suppose you work for a political pollster during an election
year. You are tasked with determining the projected winner of the
November election. That is, you wish to determine if the number of
votes for Candidate 1 is less than the votes for Candidate 2. What
are the hypotheses for this test?
Question 6 options:
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1)
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HO: μ1 ≤ μ2
HA: μ1 > μ2 |
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2)
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HO: μ1 = μ2
HA: μ1 ≠ μ2 |
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3)
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HO: μ1 > μ2
HA: μ1 ≤ μ2 |
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4)
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HO: μ1 ≥ μ2
HA: μ1 < μ2 |
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5)
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HO: μ1 < μ2
HA: μ1 ≥ μ2 |
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Question 7 (1 point)
Do sit down restaurant franchises and fast food franchises
differ significantly in stock price? Specifically, is the average
stock price for sit-down restaurants different from the average
stock price for fast food restaurants? If sit down restaurants are
in group 1 and fast food restaurants are in group 2, the hypotheses
for this scenario are as follows: Null Hypothesis: μ1 =
μ2, Alternative Hypothesis: μ1 ≠
μ2. In a random sample of 28 sit down restaurants, you
find that the average stock price is $271.128 with a standard
deviation of $18.0922. For 52 fast food restaurants, the average
stock price is $276.192 with a standard deviation of $6.9157.
Conduct a two independent sample t-test. What is the test statistic
and p-value for this test? Assume the population standard
deviations are the same.
Question 7 options:
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1)
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Test Statistic: -1.797, P-Value: 0.9619 |
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2)
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Test Statistic: -1.797, P-Value: 0.0762 |
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3)
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Test Statistic: -1.797, P-Value: 0.0381 |
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4)
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Test Statistic: 1.797, P-Value: 0.0762 |
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5)
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Test Statistic: -1.797, P-Value: 1.9619 |
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Question 8 (1 point)
Do sit down restaurant franchises and fast food franchises
differ significantly in stock price? Specifically, is the average
stock price for sit-down restaurants less than the average stock
price for fast food restaurants? A hypothesis test for two
independent samples is run on data recorded from the stock exchange
and a p-value is calculated to be 0.2585. What is the appropriate
conclusion?
Question 8 options:
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1)
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We did not find enough evidence to say the average stock price
of sit-down restaurants is greater than the average stock price of
fast food restaurants. |
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2)
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The average stock price of sit-down restaurants is greater than
or equal to the average stock price of fast food restaurants. |
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3)
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The average stock price of sit-down restaurants is
significantly less than the average stock price of fast food
restaurants. |
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4)
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We did not find enough evidence to say the average stock price
of sit-down restaurants is less than the average stock price of
fast food restaurants. |
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5)
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We did not find enough evidence to say a significant difference
exists between the average stock price of sit-down restaurants and
the average stock price of fast food restaurants. |
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Question 9 (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 if the average age of males
is greater than the average age of females. If the owner conducts a
hypothesis test for two independent samples and calculates a
p-value of 0.0095, what is the appropriate conclusion? Label males
as group 1 and females as group 2.
Question 9 options:
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1)
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We did not find enough evidence to say the average age of males
is larger than the average age of females. |
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2)
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The average age of males is significantly less than the average
age of females. |
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3)
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The average age of males is significantly different from the
average age of females. |
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4)
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The average age of males is less than or equal to the average
age of females. |
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5)
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The average age of males is significantly larger than the
average age of females. |
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Question 10 (1 point)
A medical researcher wants to examine the relationship of the
blood pressure of patients before and after a procedure. She takes
a sample of people and measures their blood pressure before
undergoing the procedure. Afterwards, she takes the same sample of
people and measures their blood pressure again. If the researcher
wants to test if the blood pressure measurements after the
procedure are greater than the blood pressure measurements before
the procedure, what will the null and alternative hypotheses be?
Treat the differences as (blood pressure after - blood pressure
before).
Question 10 options:
