For a random sample of 36 data pairs, the sample mean of the difference was 0.8. The sample standard deviation of the difference was 2. At the 5% level of significance, test the claim that the population mean of the differences is different from 0. a) check requirements, is it appropriate to use a Student's t distribution for the sample test statistic? Explain. What degree of freedom are used? b) state the hypotheses. c) compute the sample test statistic. (answer should be: t=2.400 with d.f.=35) d) estimate the P-value of the sample test statistic. (answer should be: 0.020
For a random sample of 36 data pairs, the sample mean of the difference was 0.8. The sample standard deviation of the difference was 2. At the 5% level of significance, test the claim that the population mean of the differences is different from 0.
a) check requirements, is it appropriate to use a Student's t distribution for the sample test statistic? Explain. What degree of freedom are used?
b) state the hypotheses.
c) compute the sample test statistic. (answer should be: t=2.400 with d.f.=35)
d) estimate the P-value of the sample test statistic. (answer should be: 0.020<P-value<0.050. TI-84 gives P-value=0.0218.
e) do we reject or fail to reject the null hypothesis? Explain.
f) what do your results tell you?
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