(a)

Ho: mean=10.33

H1: mean>10.33

(b)

Significance level=0.1

(c)

Critical region = 1.282

(d)

Test statistics =(10.68-10.33)/(2.770/sqrt(400)) = 2.527076

(e)

AS 2.527076>1.282. Reject Ho.

(f)

Thus, the claim is rejected at 0.1 % significance.

(g)

P-value:

P(Z>2.527076) = 0.00575

(h)

yes

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