The following table contains information on matched sample values whose differen

Question

The following table contains information on matched sample values whose differences are normally distributed. Use Table 2.

Construct the 95% confidence interval for the mean difference D. (Negative values should be indicated by a minus sign. Round all intermediate calculations to at least 4 decimal places. Round your answers to 2 decimal places.)

Specify the competing hypotheses in order to test whether the mean difference differs from zero.

Using the confidence interval from part a, are you able to reject H0?

a) No

b) Yes

The following table contains information on matched sample values whose differences are normally distributed. Use Table 2.

Explanation / Answer

a)

x1 = 17 , x2 = 18.5
s1 = 3.625 , s2 = 4.407 , n1 = n2 = 8

z value at 95% cI = 1.96

CI = (x1 - x2) + /- z * sqrt( s1^2 / n1 + s2^2 / n2)

= ( 17 - 18.5) + / -1.96 *sqrt ( 3.625^2 / 8 + 4.407^2/8)
= (-5.454 , 2.454)

b) H0: D = 0; HA: D 0
c)

If the reference value specified in H0 lies within the interval (that is, is not less than the lower bound or greater than the upper bound), you fail to reject H0.

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