A paired-difference experiment was conducted using n = 10 pairs of observations.

Question

A paired-difference experiment was conducted using n = 10 pairs of observations. (a) Test the null hypothesis HO: (i-2)-0 against Hai (h1-2) +0 for -0.05, a-0.3, and sd2-0.12. (Round your answers to three decimal places.) Test statistic: t Rejection region: If the test is one-tailed, enter NONE for the unused region Conclusion: Ho is rejected. There is insufficient evidence to indicate a difference in the two populations. Ho is not rejected. There is insufficient evidence to indicate a difference in the two populations Ho is rejected. There is sufficient evidence to indicate a difference in the two populations Ho is not rejected. There is sufficient evidence to indicate a difference in the two populations. Give the approximate p-value for the test. p-value 0.010 0.010

Explanation / Answer

a)for std error of mean difference =sd/(n)1/2 =(0.12/10)1/2 =0.1095

therefore test statistic t=d/sd =0.3/0.1095=2.739

rejection region: for (n-1=9) degree of freedom and 0.05 level

t>2.262

t<-2.262

conclusion: Ho is rejected there is sufficient evidence to indicate a difference

0.020<p value< 0.050

b) for critical value of t =2.262

95% CI =sample mean -/+ t*std error =0.052 to 0.548

c) for margin of error E =0.1 ; variance =0.12

and for 95% CI ; z=1.96

therfore required observations =variance*(z/E)2 =~47

please revert

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