A random sample of six music students played a short song, and the number of mistakes in music each student made was recorded. After they practiced the song 5 times, the number of mistakes each student made was recorded. The data are shown. At =α0.10, can it be concluded that there was a decrease in the mean number of mistakes? Assume that all variables are normally or approximately normally distributed. Let μ1 be the mean before practicing and μD=μ1-μ2.
Student | A | B | C | D | E | F |
Before | 12 | 14 | 9 | 8 | 8 | 4 |
After | 11 | 12 | 5 | 7 | 13 | 3 |
A) Find the critical values.
B) Compute the test value.
C) Reject or do not reject the null hypothesis.
D) There is or is not enough evidence to support the claim.
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