1. (4 points) Imagine a researcher wanted to test the effect of the new drug on reducing
blood pressure. In this study, there were 50 participants. The researcher measured the
participants’ blood pressure before and after the drug intake. If we want to compare the
mean blood pressure from the two time periods with a two-tailed t test, how many
degrees of freedom are there?
A. 49
B. 60
C. 99
D. 50 2. (4 points) A researcher claims that the amount of acetaminophen in a certain brand of
cold tablets have a standard deviation different from the ? = 2.5 mg claimed by the
manufacturer. Assuming that a hypothesis test of the claim has been conducted and that
the conclusion is failure to reject the null hypothesis, state the conclusions in
nontechnical terms.
A. There is not sufficient evidence to support the claim that the standard deviation is
different from 2.5 mg.
B. There is sufficient evidence to support the claim that the standard deviation is different
from 2.5 mg.
C. There is sufficient evidence to support the claim that the standard deviation is equal to
2.5 mg.
D. There is not sufficient evidence to support the claim that the standard deviation is equal
to 2.5 mg. SHORT ANSWER. Write the word or phrase that best completes each statement or answers the
question. Express percents as decimals. Round dollar amounts to the nearest cent.
9. A manufacturer considers his production process to be out of control when defects exceed 3%.
In a random sample of 85 items, the defect rate is 5.9% but the manager claims that this is only a
sample fluctuation and production is not really out of control. At the 0.01 level of significance,
test the manager’s claim.
a. (3 points) Identify the null hypothesis and alternative hypothesis. b. (3 points) Find the test statistic. c. (3 points) Fin the p-value. d. (3 points) Draw conclusion about the null hypothesis. e. (3 points) Draw the final nontechnical conclusion that addresses the original claim. 10. (9 points) The claim is that the proportion of accidental deaths of the elderly attributable to
residential falls is more than 0.15, and the sample statistics include n=900 deaths of the elderly
with 20% of them attributable to residential falls. Find the value of the test statistic z using the
following formula,
blood pressure. In this study, there were 50 participants. The researcher measured the
participants’ blood pressure before and after the drug intake. If we want to compare the
mean blood pressure from the two time periods with a two-tailed t test, how many
degrees of freedom are there?
A. 49
B. 60
C. 99
D. 50 2. (4 points) A researcher claims that the amount of acetaminophen in a certain brand of
cold tablets have a standard deviation different from the ? = 2.5 mg claimed by the
manufacturer. Assuming that a hypothesis test of the claim has been conducted and that
the conclusion is failure to reject the null hypothesis, state the conclusions in
nontechnical terms.
A. There is not sufficient evidence to support the claim that the standard deviation is
different from 2.5 mg.
B. There is sufficient evidence to support the claim that the standard deviation is different
from 2.5 mg.
C. There is sufficient evidence to support the claim that the standard deviation is equal to
2.5 mg.
D. There is not sufficient evidence to support the claim that the standard deviation is equal
to 2.5 mg. SHORT ANSWER. Write the word or phrase that best completes each statement or answers the
question. Express percents as decimals. Round dollar amounts to the nearest cent.
9. A manufacturer considers his production process to be out of control when defects exceed 3%.
In a random sample of 85 items, the defect rate is 5.9% but the manager claims that this is only a
sample fluctuation and production is not really out of control. At the 0.01 level of significance,
test the manager’s claim.
a. (3 points) Identify the null hypothesis and alternative hypothesis. b. (3 points) Find the test statistic. c. (3 points) Fin the p-value. d. (3 points) Draw conclusion about the null hypothesis. e. (3 points) Draw the final nontechnical conclusion that addresses the original claim. 10. (9 points) The claim is that the proportion of accidental deaths of the elderly attributable to
residential falls is more than 0.15, and the sample statistics include n=900 deaths of the elderly
with 20% of them attributable to residential falls. Find the value of the test statistic z using the
following formula,
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