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The mean birth weight in the United States is µ = 3315 grams with a standard deviation of a = 575. Let X equal the birth weight in grams in Jerusalem. Assume that the distribution of X is N( µ, er). We shall test the null hypothesis H0 : µ = 3315 against the alternative hypothesis H1 : µ 3315 using a random sample of size n = 30.

(a) Define a critical region that has a significance level of a = 0.05.

(b) If the random sample of n = 30 yielded = 3189 and s = 488, what is your conclusion?

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