A fitness course claims that it can improve an individual's physical ability. To test the effect of a physical fitness course on one's physical ability, the number of sit-ups that a person could do in one minute, both before and after the course, was recorded. Ten individuals are randomly selected to participate in the course. The results are displayed in the following table. Can it be concluded, from the data, that participation in the physical fitness course resulted in significant improvement?
Let d=(number of sit-ups that can be done after taking the course)−(number of sit-ups that can be done prior to taking the course)d=(number of sit-ups that can be done after taking the course)−(number of sit-ups that can be done prior to taking the course). Use a significance level of α=0.05α=0.05 for the test. Assume that the numbers of sit-ups are normally distributed for the population both before and after taking the fitness course.
Sit-ups before | 36 | 49 | 44 | 22 | 44 | 40 | 48 | 28 | 46 | 27 |
---|---|---|---|---|---|---|---|---|---|---|
Sit-ups after | 53 | 59 | 59 | 32 | 47 | 49 | 51 | 41 | 50 | 41 |
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 one decimal place.
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 H 0 . Round the numerical portion of your answer to three decimal places.
Step 5 of 5: Make the decision for the hypothesis test. (accept or reject null)
Step 1
To Test :-
H0 :- µd = 0
H1 :- µd > 0
Step 2
S(d) = √(Σ (di - d̅)2 / n-1)
S(d) = √(233.6 / 10-1) = 5.1
Step 3
Test Statistic :-
t = d̅ / ( S(d) / √(n) )
t = 9.8 / ( 5.0947 / √(10) )
t = 6.083
Step 4
Test Criteria :-
Reject null hypothesis if t > t(α)
Critical value t(α) = t(0.05) = 1.833
t > 1.833
Step 5
t > t(α) = 6.0829 > 1.8331
Result :- Reject null hypothesis
A fitness course claims that it can improve an individual's physical ability. To test the effect...
A fitness course claims that it can improve an individual's physical ability. To test the effect of a physical fitness course on one's physical ability, the number of sit-ups that a person could do in one minute, both before and after the course, was recorded. Ten individuals are randomly selected to participate in the course. The results are displayed in the following table. Can it be concluded, from the data, that participation in the physical fitness course resulted in significant...
A fitness course claims that it can improve an individual's physical ability. To test the effect of a physical fitness course on one's physical ability, the number of sit-ups that a person could do in one minute, both before and after the course, was recorded. Ten individuals are randomly selected to participate in the course. The results are displayed in the following table. Can it be concluded, from the data, that participation in the physical fitness course resulted in significant...
A fitness course claims that it can improve an individual's physical ability. To test the effect of a physical fitness course on one's physical ability, the number of sit-ups that a person could do in one minute, both before and after the course, was recorded. Ten individuals are randomly selected to participate in the course. The results are displayed in the following table. Can it be concluded, from the data, that participation in the physical fitness course resulted in significant...
can you do this problem please 8. A fitness course claims that it can improve an individual's physical ability. To test the effect of a physical fitness course on one's physical ability, the number of sit-ups that a person could do in one minute, both before and after the course, was recorded. Ten Individuals are randomly selected to participate in the course. The results are displayed in the following table. Can it be concluded, from the data, that participation in...
To test the effect of a physical fitness course on one's physical ability, the number of sit-ups that a person could do in one minute, both before and after the course, was recorded. Ten individuals are randomly selected to participate in the course. The results are displayed in the following table. Using this data, find the 95% confidence interval for the true difference in the number of sit-ups each person can do before and after the course. Assume that the...
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: Find the p-value for the hypothesis test. Round your answer to four decimal places. Step 5 of 5: Draw a conclusion for the hypothesis test....
I need some help with these 4 questions. Question 6 of 11 Step 1 of 4 01:24:24 To test the effect of a physical fitness course on one's physical ability, the number of sit-ups that a person could do in one minute, both before and after the course, was recorded. Ten individuals are randomly selected to participate in the course. The results are displayed in the following table. Using this data, find the 95% confidence interval for the true difference...
An SAT prep course claims to improve the test score of students. The table below shows the scores for seven students the first two times they took the verbal SAT. Before taking the SAT for the second time, each student took a course to try to improve his or her verbal SAT scores. Do these results support the claim that the SAT prep course improves the students' verbal SAT scores? Let d=(verbal SAT scores prior to taking the prep course)−(verbal...
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