Listed below are systolic blood pressure measurements (mm Hg) taken from the right and left arms of the same woman. Assume that the paired sample data is a simple random sample and that the differences have a distribution that is approximately normal. Use a 0.10 0.10 significance level to test for a difference between the measurements from the two arms. What can be concluded? Right arm 145 142 128 139 133 Left arm 168 177 184 153 150
Listed below are systolic blood pressure measurements (mm Hg) taken from the right and left arms of the same woman. Assume that the paired sample data is a simple random sample and that the differences have a distribution that is approximately normal. Use a
0.10
0.10 significance level to test for a difference between the measurements from the two arms. What can be concluded?
|
Right arm |
145 |
142 |
128 |
139 |
133 |
|
Left arm |
168 |
177 |
184 |
153 |
150 |
a. Use the sample data with a 0.01 significance level to test the claim that for the population of ages of Best Actresses and Best Actors, the differences have a mean less than 0 (indicating that the Best Actresses are generally younger than Best Actors).
In this example, μd is the
H0: μd = __ year(s)
H1: μd < __ year(s)
(Type integers or decimals. Do not round.)
Identify the test statistic.
t = ___
(Round to two decimal places as needed.)
Identify the P-value.
P-value =
(Round to three decimal places as needed.)
What is the conclusion based on the hypothesis test?
Since the P-value is _________ the significance level, ________ the null hypothesis. There ____ sufficient evidence to support the claim that actresses are generally younger when they won the award than actors.
b. Construct the confidence interval that could be used for the hypothesis test described in part (a). What feature of the confidence interval leads to the same conclusion reached in part (a)?
The confidence interval is ___ year(s) < μd < 2.4 year(s).
(Round to one decimal place as needed.)
What feature of the confidence interval leads to the same conclusion reached in part (a)?
Since the confidence interval contains ____ _______ the null hypothesis.
| Right (X) | Left (Y) | D = X-Y | (D-dbar)^2 |
| 145 | 168 | -23 | 36 |
| 142 | 177 | -35 | 36 |
| 128 | 184 | -56 | 729 |
| 139 | 153 | -14 | 225 |
| 133 | 150 | -17 | 144 |
The mean is given by
The standard deviation is given by
Trending now
This is a popular solution!
Step by step
Solved in 2 steps with 9 images
