A paired difference experiment was conducted using n 10 pairs of observations a Test the null hypothesis H0 (1 2) 0 against Ha (1 2) 0 for 05, 3, and s2d 16 Give the approximate p value for the test b Find a 95 confidence interval for (1 2) c How many pairs of observations do you need if you want t...

a b C The test statistic is t with n 1 9 degrees of freedom The pvalue is then 1025 aHa san P ...

A paired-difference experiment was conducted using n = 10 pairs of observations. a. Test the null hypothesis

Question:

A paired-difference experiment was conducted using n = 10 pairs of observations.
a. Test the null hypothesis H0: (µ1 - µ2) = 0 against Ha: (µ1 - µ2) ≠ 0 for α = .05, = .3, and s2d = .16. Give the approximate p-value for the test.
b. Find a 95% confidence interval for (µ1 - µ2).
c. How many pairs of observations do you need if you want to estimate (µ1 - µ2) correct to within .1 with probability equal to .95?