A study is being conducted to determine whether a particular exercise program is effective at reducing the mean blood cholesterol level on males between the ages of 35 and 50. Six subjects participated in the program, and their cholesterol levels before and after the program are as follows
Blood cholesteroal level
Subject | Before | After |
1 |
265 | 229 |
2 | 240 | 231 |
3 | 258 | 227 |
4 | 295 | 240 |
5 | 251 | 238 |
6 | 225 | 226 |
Using this data, we wish to test the following hypothesis using a level of significance of 0.05, where ?1 denotes the mean blood cholesterol level before the program, and ?2 denotes the mean blood cholesterol level after the program.
H0 : = 0
H1 : > 0
Answer questions a through e assuming that you have chosen to use a paired ?-test
a.) State any assumptions that are required to perform this test
b.) Identify the test statistic and critical region for the test. State the conclusion for this test.
c.) What is the P-value for this test? State the conclusion for this test
d.) Construct a confidence interval that is relevant to this problem. Show that this confidence interval verifies your conclusion from part c.
e.) If the null hypothesis is true, what is the probability you conclude that ?1 > ?2?
Before the program mean =
= 255.66667 and after program mean =
= 231.83333
Before the program standard deviation =
= 23.8635 and after program standard deviation =
= 5.84522
sample size = 6 for both after and before program.
Two sample t-test for population mean to test the claim that
>
Assumption: that the population follows normal distribution and the
the groups after and before the program have equall variances. And
the samples are independent of each other.
As p value is less than significance level of 0.05 hence we reject
null hypothesis and accept the alternative hypothesis that the mean
cholesterol level has fallen after the program
d)
As the 95% confidence intervel of difference on the two means
doesn't contain 0 hence the interval also verifies the claim made
by our test and the conclusion above in part b)
e) If the null hypothesis is true, what is the probability you
conclude that ?1 > ?2?
Answer: this probability of rejecting null hypothesis when its
actually true is the Type I error and that for this test is the
significance level of the test = 0.05
A study is being conducted to determine whether a particular exercise program is effective at reducing...
A study is being conducted to determine whether a particular exercise program is effective at reducing the mean blood cholesterol level on males between the ages of 35 and 50. Six subjects participated in the program, and their cholesterol levels before and after the program are as follows. Blood Cholesterol Level Subject Before After 265 229 2 240 231 258 227 4 295 240 5 251 238 6 225 226 Using this data, we wish to test the following hypothesis...
A study is being conducted to determine whether a particular exercise program is effective at reducing the mean blood cholesterol level on males between the ages of 35 and 50. Six subjects participated in the program, and their cholesterol levels before and after the program are as follows. 1 Blood Cholesterol Level Subject Before After 265 229 2 240 231 3 258 227 4 295 240 5 251 238 6 225 226 Using this data, we wish to test the...
A study is being conducted to determine whether a particular exercise program is effective at reducing the mean blood cholesterol level on males between the ages of 35 and 50. Six subjects participated in the program, and their cholesterol levels before and after the program are as follows. 1 Blood Cholesterol Level Subject Before After 265 229 2 240 231 258 227 4 295 240 5 251 238 6 225 226 نیا Using this data, we wish to test the...
A study is being conducted to determine whether a particular exercise program is effective at reducing the mean blood cholesterol level on males between the ages of 35 and 50. Six subjects participated in the program, and their cholesterol levels before and after the program are as follows. Blood Cholesterol Level Subject Before After 265 229 2 240 231 3 258 227 4 295 240 5 251 238 6 225 226 Using this data, we wish to test the following...
A study is being conducted to determine whether a particular exercise program is effective at reducing the mean blood cholesterol level on males between the ages of 35 and 50. Six subjects participated in the program, and their cholesterol levels before and after the program are as follows. Blood Cholesterol Level Subject Before After 1 265 229 2 240 231 3 258 227 4 295 240 5 251 238 6 225 226 Using this data, we wish to test the...
A study is being conducted to determine whether a particular exercise program is effective at reducing the mean blood cholesterol level on males between the ages of 35 and 50. Six subjects participated in the program, and their cholesterol levels before and after the program are as follows. Blood Cholesterol Level Subject Before After 265 229 2 240 231 3 258 227 4 295 240 5 251 238 6 225 226 Using this data, we wish to test the following...
Question 3 (25 points) A study is being conducted to determine whether a particular exercise program is effective at reducing the mean blood cholesterol level on males between the ages of 35 and 50. Six subjects participated in the program, and their cholesterol levels before and after the program are as follows. 1 Blood Cholesterol Level Subject Before After 265 229 2 240 231 3 258 227 4 295 240 5 251 238 6 225 226 Using this data, we...
Hypothesis Testing_02 (when is unknown) 9 Fifteen adult males between the ages of 35 and 50 participated in a study to evaluate the elec exercise on blood cholesterol levels. The total cholesterol was measured in each subject initially months after participating in an aerobic exercise program and switching to a low fat diet. The date the table below: in a study to evaluate the effect of diet and measured in each subject initially and then three tching to a low...
Please answer all parts in detail :) 8. 15 adult males between the ages of 35 and 50 participated in a study to evaluate the effect of diet and exercise on blood cholesterol levels. The total cholesterol was measured in each subject initially and then three months after participating in an aerobic exercise program and switching to a low-fat diet. The data are shown in the following table. Blood Cholesterol Level Subject Before After 1 265 229 2 240 231...
Stat 50 Final Exam Last Name First Name 11. A study was conducted to investigate how effective a new diet was in lowering cholesterol. Results for the randomly selected subjects are shown in the table. The differences have a normal distribution. Are the subjects' cholesterol levels lower on average after the diet? Test at the 1% level. Subject |A |B |C |D |E |F |G |H Before 227 228 223 |216 234 227 |256 258 |240 After 197 205 187...