A researcher wants to test whether children who play a musical instrument perform better in school than children who do not play an instrument. A sample (n = 16) of children who play a musical instrument had an average academic achievement score of M = 87 with a variance of s2 = 196. Assume the average population academic achievement score for this age group is μ = 81. 1. What type of statistical test should be used to answer this question? (i.e., z-test, one sample t-test, between subjects t-test, within-subjects t-test) 2. What are the null and alternative hypotheses? 3. What is the critical/cut-off t-value if you are doing a one-tailed hypothesis test with an alpha level of α = .01 4. What is the estimated standard error? 5. What is the value of t? 6. Should the researcher reject the null hypothesis? Why or why not?
A researcher wants to test whether children who play a musical instrument perform better in school than children who do not play an instrument. A sample (n = 16) of children who play a musical instrument had an average academic achievement score of M = 87 with a variance of s2 = 196. Assume the average population academic achievement score for this age group is μ = 81.
1. What type of statistical test should be used to answer this question? (i.e., z-test, one sample t-test, between subjects t-test, within-subjects t-test)
2. What are the null and alternative hypotheses?
3. What is the critical/cut-off t-value if you are doing a one-tailed hypothesis test with an alpha level of α = .01
4. What is the estimated standard error?
5. What is the value of t?
6. Should the researcher reject the null hypothesis? Why or why not?
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