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)

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Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.