Question

A pharmaceutical company claims that its new drug reduces systolic blood pressure. The systolic blood pressure (in millimeters of mercury) for nine patients before taking the new drug and 22 hours after taking the drug are shown in the table below. Is there enough evidence to support the company's claim?

Let d=(blood pressure before taking new drug)−(blood pressure after taking new drug)d=(blood pressure before taking new drug)−(blood pressure after taking new drug). Use a significance level of α=0.01α=0.01 for the test. Assume that the systolic blood pressure levels are normally distributed for the population of patients both before and after taking the new drug.

Patient | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 |
---|---|---|---|---|---|---|---|---|---|

Blood pressure (before) | 192 | 197 | 193 | 182 | 154 | 164 | 164 | 195 | 202 |

Blood pressure (after) | 177 | 182 | 187 | 175 | 143 | 153 | 158 | 181 | 194 |

Step 1 of 5: State the null and alternative hypotheses for the test.

Step 2 of 5 : Find the value of the standard deviation of the paired differences. Round your answer to two decimal places.

Step 3 of 5: Compute the value of the test statistic. Round your answer to three decimal places.

Step 4 of 5: Determine the decision rule for rejecting the null hypothesis H0H0. Round the numerical portion of your answer to three decimal places.

Step 5 of 5: Make the decision for the hypothesis test.

Answer #1

The statistical software output for this problem is:

Hence,

Step - 1: Hypotheses:

H_{0} : μ_{D} = 0

H_{A} : μ_{D} > 0

Step - 2: Standard deviation = **0.73**

Step - 3: Test statistic = **2.190**

Step - 4: Decision rule:

Reject Ho if t > 3.365

Step - 5: Fail to reject the null hypothesis

A pharmaceutical company claims that its new drug reduces
systolic blood pressure. The systolic blood pressure (in
millimeters of mercury) for nine patients before taking the new
drug and 2 hours after taking the drug are shown in the table
below. Is there enough evidence to support the company's claim?
Let d=(blood pressure before taking new drug)−(blood pressure
after taking new drug)d=(blood pressure before taking new
drug)−(blood pressure after taking new drug). Use a significance
level of α=0.01 for the...

A pharmaceutical company claims that its new drug reduces
systolic blood pressure. The systolic blood pressure (in
millimeters of mercury) for nine patients before taking the new
drug and 2 hours after taking the drug are shown in the table
below. Is there enough evidence to support the company's claim? Let
d=(blood pressure before taking new drug)−(blood pressure after
taking new drug). Use a significance level of α=0.05 for the test.
Assume that the systolic blood pressure levels are normally...

A pharmaceutical company claims that its new drug reduces
systolic blood pressure. The systolic blood pressure (in
millimeters of mercury) for nine patients before taking the new
drug and 2 hours after taking the drug are shown in the table
below. Is there enough evidence to support the company's claim? Let
d=(blood pressure before taking new drug)−(blood pressure after
taking new drug) d = (blood pressure before taking new drug) −
(blood pressure after taking new drug) . Use a...

A pharmaceutical company claims that its new drug reduces
systolic blood pressure. The systolic blood pressure (in
millimeters of mercury) for nine patients before taking the new
drug and 2 hours after taking the drug are shown in the table
below. Is there enough evidence to support the company's claim?
Let d=(blood pressure before taking new drug)−(blood pressure
after taking new drug) . Use a significance level of α=0.05 for the
test. Assume that the systolic blood pressure levels are...

A pharmaceutical company claims that its new drug reduces
systolic blood pressure. The systolic blood pressure (in
millimeters of mercury) for nine patients before taking the new
drug and 22 hours after taking the drug are shown in the table
below. Is there enough evidence to support the company's claim?
Let d=(blood pressure before taking new drug)−(blood pressure
after taking new drug). Use a significance level of α=0.01 for the
test. Assume that the systolic blood pressure levels are normally...

A pharmaceutical company claims that its new drug reduces
systolic blood pressure. The systolic blood pressure (in
millimeters of mercury) for nine patients before taking the new
drug and 2 hours after taking the drug are shown in the table
below. Using this data, find the 90% confidence interval for the
true difference in blood pressure for each patient after taking the
new drug. Assume that the blood pressures are normally distributed
for the population of patients both before and...

A pharmaceutical company claims that its new drug reduces
systolic blood pressure. The systolic blood pressure (in
millimeters of mercury) for nine patients before taking the new
drug and 2 hours after taking the drug are shown in the table
below. Using this data, find the 99% confidence interval for the
true difference in blood pressure for each patient after taking the
new drug. Assume that the blood pressures are normally distributed
for the population of patients both before and...

A pharmaceutical company claims that its new drug reduces
systolic blood pressure. The systolic blood pressure (in
millimeters of mercury) for nine patients before taking the new
drug and 2 hours after taking the drug are shown in the table
below. Using this data, find the 95% confidence interval for the
true difference in blood pressure for each patient after taking the
new drug. Assume that the blood pressures are normally distributed
for the population of patients both before and...

A pharmaceutical company claims that its new drug reduces
systolic blood pressure. The systolic blood pressure (in
millimeters of mercury) for nine patients before taking the new
drug and 22 hours after taking the drug are shown in the table
below. Using this data, find the 90%90% confidence interval for the
true difference in blood pressure for each patient after taking the
new drug. Assume that the blood pressures are normally distributed
for the population of patients both before and...

When subjects were treated with a drug, their systolic blood
pressure readings (in mm Hg) were measured before and after the
drug was taken. Results are given in the table below. Assume that
the paired sample data is a simple random sample and that the
differences have a distribution that is approximately normal. Using
a
0.05
significance level, is there sufficient evidence to support the
claim that the drug is effective in lowering systolic blood
pressure?
Before
161
169
158...

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