In: Statistics and Probability
Conduct an independent samples t-test using the following data:
A researcher is interested in testing how listening to music affects exercise performance. She has one group listen to Tool and another group listen to Jonas Brothers. The number of consecutive reps on the bench before stopping was being measured. The following data was collected:
Listening to Tool: 15, 18, 16, 19, 20
Listening to Jonas Brothers: 10, 9, 11, 13
a. What are the null and research hypotheses?
b. Determine the values necessary to calculate the t statistic:
Mean of X:
Mean of Y:
standard error:
c. What is the t statistic?
d. Determine the critical value using a two-tailed hypothesis test at a 0.05 significance level
e. Make a decision about the hypothesis