Discover answers to your questions with Westonci.ca, the leading Q&A platform that connects you with knowledgeable experts. Connect with a community of experts ready to provide precise solutions to your questions on our user-friendly Q&A platform. Connect with a community of professionals ready to help you find accurate solutions to your questions quickly and efficiently.
Sagot :
Complete question is;
A researcher wishes to determine if aerobic exercise improves mental performance immediately following the exercise. He plans to have high school students participate in 30 minutes of aerobic exercise and then take a standard test of their reasoning skills. Suppose the scores of high school students on this test of reasoning skills immediately after 30 minutes of aerobic exercise follow a Normal distribution with mean μ and standard deviation σ = 4. Suppose also that, in the general population of all high school students, scores on the test of reasoning skills follow a Normal distribution with mean 25 and standard deviation σ = 4. The researcher, therefore, decides to test the following hypotheses.
H0 : μ = 25, Ha : μ > 25
To do so, the researcher has 10,000 high school students do 30 minutes of aerobic exercise and then, immediately following the exercise, take the test. The mean score for these students is = 25.2 and the P-value is less than 0.0001.
It is appropriate to conclude which of the following?
Select one:
A. The researcher has conclusively proved that, for high school students, 30 minutes of aerobic exercise substantially improves mental performance.
B. The researcher has strong evidence that, for high school students, 30 minutes of aerobic exercise substantially improves mental performance.
C. The researcher has moderate evidence that, for high school students, 30 minutes of aerobic exercise substantially improves mental performance.
D. None of the above
Answer:
D. None of the above
Step-by-step explanation:
We see that the researcher wants to test the hypotheses;
Null hypothesis; H0 : μ = 25,
Alternative hypothesis; Ha : μ > 25
Population mean = 25 and standard deviation σ = 4
After testing a sample of 1000 students, he discovered that;
Sample size; n = 1000
Sample mean; x¯ = 25.2
After calculations, he got P-value as less than 0.0001.
Now, he can't make any conclusion or evidence for this research because there is no population mean for the aerobic exercise and also no significance value in the entire question to compare the p-value with.
Thus, none of the options are correct.
We appreciate your time. Please come back anytime for the latest information and answers to your questions. We hope our answers were useful. Return anytime for more information and answers to any other questions you have. We're dedicated to helping you find the answers you need at Westonci.ca. Don't hesitate to return for more.