In: Math
Dentists make many people nervous. To see whether such nervousness elevates blood pressure, the blood pressure and pulse rates of 60 subjects were measured in a dental setting and in a medical setting. For each subject, the difference (dental-setting blood pressure minus medical-setting blood pressure) was calculated. The analogous differences were also calculated for pulse rates. Summary data are given below.
Mean Difference |
Standard Deviation of Differences |
|
---|---|---|
Systolic Blood Pressure | 4.49 | 8.77 |
Pulse (beats/min) |
−1.33 |
8.84 |
(a)
Do the data strongly suggest that true mean blood pressure is greater in a dental setting than in a medical setting? Use a level 0.01 test. (Use a statistical computer package to calculate the P-value. Round your test statistic to two decimal places, your df down to the nearest whole number, and your P-value to three decimal places.)
t=
df=
P-value=
State your conclusion.
We reject H0. We do not have convincing evidence that the mean blood pressure is greater in a dental setting than in a medical setting.
We do not reject H0. We have convincing evidence that the mean blood pressure is greater in a dental setting than in a medical setting.
We reject H0. We have convincing evidence that the mean blood pressure is greater in a dental setting than in a medical setting.
We do not reject H0. We do not have convincing evidence that the mean blood pressure is greater in a dental setting than in a medical setting.
(b)
Is there sufficient evidence to indicate that true mean pulse rate in a dental setting differs from the true mean pulse rate in a medical setting? Use a significance level of 0.05. (Use a statistical computer package to calculate the P-value. Round your test statistic to two decimal places, your df down to the nearest whole number, and your P-value to three decimal places.)
t=
df=
P-value=
State your conclusion.
We do not reject H0. We have convincing evidence that the mean pulse rate in a dental setting differs from the mean pulse rate in a medical setting.
We reject H0. We do not have convincing evidence that the mean pulse rate in a dental setting differs from the mean pulse rate in a medical setting.
We do not reject H0. We do not have convincing evidence that the mean pulse rate in a dental setting differs from the mean pulse rate in a medical setting.
We reject H0. We have convincing evidence that the mean pulse rate in a dental setting differs from the mean pulse rate in a medical setting.