Question

The number of chocolate chips in an 18-ounce bag of Chips Ahoy! Chocolate cookies is approximately normally distributed with a mean of 1262 chips and a standard deviation of 118 chips according to a study by the U.S. Air Force Academy.

If a production manager takes a sample of 36 bags of cookies, then for this sample size, describe the sampling distribution of x ¯.

i. Center: μ x ¯=

ii. Spread: σ x ¯=  (round to 2 decimal places)

iii. What is the probability that a simple random sample of 36 bags results in a sample mean of at least 1275 chocolate chips?  (round to 3 decimal places)

iv.  Interpret the probability from above “If 1000 samples of size 36 bags were obtained from this population, we would expect  sample(s) to have a sample mean of at least 1275.” (round to the nearest whole number)

Answer 1

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