Question

A random sample of six music students played a short song, and the number of mistakes...

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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