A marketing research company desires to know the mean consumption of milk per week among males over age 25. They believe that the milk consumption has a mean of 2.5 liters, and want to construct a 85% confidence interval with a maximum error of 0.07 liters. Assuming a variance of 1.21 liters, what is the minimum number of males over age 25 they must include in their sample? Round your answer up to the next integer.

Question

Mathematics

Darryl Webb

27 March, 22:32

A marketing research company desires to know the mean consumption of milk per week among males over age 25. They believe that the milk consumption has a mean of 2.5 liters, and want to construct a 85% confidence interval with a maximum error of 0.07 liters. Assuming a variance of 1.21 liters, what is the minimum number of males over age 25 they must include in their sample? Round your answer up to the next integer.

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Answers (1)

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Cason Villarreal · Answer 1

Answer: the minimum number of males over age 25 they must include in their sample n = 306

Step-by-step explanation:

Given;

Mean of milk consumption = 2.5litres

Maximum error E = 0.07

Variance S = 1.21 litres

Confidence interval of 85%

Z' = t (0.075) = 1.44

the minimum number of males over age 25 they must include in their sample = n

n = (Z'*S/E) ^2

n = (1.44 * 0.85/0.07) ^2

n = (17.4857) ^2

n = 305.75

n = 306