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, describ

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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 ¯ = 1262

ii.  Spread: σ x ¯ = 19.67

iii.  What is the probability that a simple random sample of 36 bags results in a sample mean of at least 1275 chocolate chips? .746

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)

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