Question
In: Statistics and Probability
11. Dr. Fuzzy wants to know whether cat people or dog people have better eyesight. She...
11. Dr. Fuzzy wants to know whether cat people or dog people have better eyesight. She gets two groups of people together. One group likes dogs and the other group likes cats. Then, she gives everyone an eye test. What statistical test would be most appropriate to use? a. Independent-samples t test b. Related-samples t test c. Analysis of Variance (ANOVA) d. z-score for sample mean 12. Sir Mix-A-Lot wants to know whether listening to Mozart makes people happier. He gathers one group of people and gives them a questionnaire about their happiness level. Then he asks everyone to listen to some Mozart. Afterwards, everyone answers the happiness questionnaire again. Which statistical test is best to use? a. Independent-samples t test b. Related-samples t test c. Analysis of Variance (ANOVA) d. z-score for sample mean
Solutions
Expert Solution
- Here, some respondents are dog people, while others are cat
people. The sample for each of them are different. A cat people may
or may not be a dog people, and vice-versa. That is to say, they do
not have any correlation (in non-statistical sense) among each
other. The respondants are independent.
The standard deviation of the population is not known. Hence, z-score cannot be used.
Also, we are not as such interested with Analysis of Variance.
Hence, independent-samples t-test is to be performed here.
- Here, the respondents are the same people. At first, a sample
of people are asked about their happiness level. After this, they
are made to listen to music. And, after that, the
same people are asked of their happiness level.
Hence, the respondents are not independent, and infact are the same
persons. Hence, they are related.
The standard deviation of the population is not known. Hence, z-score cannot be used.
Also, we are not as such interested with Analysis of Variance.
Hence, Related-samples t-test is to be performed here.
I hope this clarifies your doubt. If you're satisfied with the solution, hit the Like button. For further clarification, comment below. Thank You. :)
orchestra answered 2 years agoRelated Solutions
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