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ANSWER BOTH QUESTIONS WITH EXPLANATION supermarket has been selling discounted apples in bundles of five at their counters. A random sample of 49 bundles weighs

ANSWER BOTH QUESTIONS WITH EXPLANATION

supermarket has been selling discounted apples in bundles of five at their counters. A random sample of 49 bundles weighs 970 grams on average, with a standard deviation of 70 grams.

(a) Construct a 95% confidence interval for average weight of apples. (5 marks)

(b) Test the hypothesis that = 1000 grams against the alternative hypothesis of <1000 grams at the 0.01 level of significance.

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