For a random sample of 36 data pairs, the sample mean of the differences was 0 8 The sample standard deviation of the differences was 2 At the 5 level of significance, test the claim that the population mean of the differences is different from 0 (a) Is it appropriate to use a Students t distribution for the sample test statistic Explain What degrees of freedom are used (b) State the hypotheses (c) Compute the sample test statistic (d) Estimate the P value of the sample test statistic (e) Do we reject or fail to reject the null hypothesis Explain (f) What do your results tell you

Question: For a random sample of 36 data pairs, the sample mean of the differences was 0.8. The sample standard deviation of the differences was 2.

For a random sample of 36 data pairs, the sample mean of the differences was 0.8. The sample standard deviation of the differences was 2. At the 5% level of significance, test the claim that the population mean of the differences is different from 0.
(a) Is it appropriate to use a Student’s t for the sample test statistic? Explain. What degrees of freedom are used?
(b) State the hypotheses.
(c) Compute the sample test statistic.
(d) Estimate the P-value of the sample test statistic.
(e) Do we reject or fail to reject the null hypothesis? Explain.
(f) What do your results tell you?

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a Yes The sample size is sufficiently large Use a Students t with df n 1 35 b H 0 ... View full answer

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