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CCC Marketing Study 100 Customers Have Been Selected Analysis

CCC Marketing Study 100 Customers Have Been Selected Analysis

Question Description

I’m working on a statistics question and need an explanation and answer to help me learn.

5. In a marketing study 100 customers have been selected randomly from a large population. In this sample, 60 people said that they prefer brand A against brand B. Construct a 95% 1 2 confidence interval for the proportion of people within the population who prefer brand A against brand B.

6. Company A receives regular delivery of apples from a vendor. The mean weight of these apples is 150 grams, and the standard deviation is 20 grams. These apples arrive in boxes, each box containing 100 apples. Upon receiving a shipment, the quality control department of company A measures the net weight of each box. Boxes with total net weight less than 14.8 kg (1kg=1,000 grams) will be returned to the vendor.

(a) What is the probability that a box will be returned to the vendor from company A?

(b) Boxes that are returned to the vendor are immediately sent to company B. The quality control department at company B will return boxes with total net weight below 14.6 kg. What is the probability that a box recived by company B will be returned to the vendor?

(c) What fraction of all boxes will be returned by both company A and company B?

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