a) 95% confidence inetraval for the mean difference between the cognition test scores is C.I =

a) 95% confidence inetraval for the mean difference between the cognition test scores is C.I = (1.01, 4.99).

C.I = 3 + 1.974 × 1.0074

C.I = 3 + 1.989

C.I = (1.01, 4.99)

b)

State the hypotheses. The first step is to state the null hypothesis and an alternative hypothesis.

Null hypothesis: µ1 – µ2 = 0
Alternative hypothesis: µ1 – µ2 ? 0

Note that these hypotheses constitute a two-tailed test.

Since the confidence interval deos not contain 0, hence we have to reject the null hypothesis.

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