Question: Quality Progress , February 2005, reports on improvements in customer satisfaction and loyalty made by Bank of America. A key measure of customer satisfaction is

Quality Progress, February 2005, reports on improvements in customer satisfaction and loyalty made by Bank of America. A key measure of customer satisfaction is the response (on a scale from 1 to 10) to the question: "Considering all the business you do with Bank of America, what is your overall satisfaction with Bank of America?" Here, a response of 9 or 10 represents "customer delight." Suppose that the survey selected 210 customers. Assume that 47% of Bank of America customers would currently express customer delight. That is, assumep= .47.

(a)Find the probability that the sample proportion obtained from the sample of 210 Bank of America customers would be within three percentage points of the population proportion.

That is, findP(.44<<.50).(Round youranswer to 4 decimal places. Do not round intermediate values. Round z-value to 2 decimal places.)

P(.44<<.50)

(b)Find the probability that the sample proportion obtained from the sample of 210 Bank of America customers would be within six percentage points of the population proportion.

That is, findP(.41<<.53).(Round youranswer to 4 decimal places. Do not round intermediate values. Round z-value to 2 decimal places.)

P(.41<<.53)

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