Question

Harvested apples from a farm in Eastern Washington are packed into boxes for shipping out to retailers. The apple shipping boxes are set to pack 42 pounds of apples. The actual weights of apples loaded into each box vary with mean $\mu = 42$ lbs and standard deviation $\sigma = 4$ lbs. A) Is a sample of size 30 or more required in this problem to obtain a normally distributed sampling distribution of mean loading weights? No Yes B) What is the probability that 36 boxes chosen at random will have mean weight less than 41.6 lbs of apples? (Round $\sigma_\bar{x}$ to two decimal places and your answer to four decimal places.) **Notes: DO NOT round any z-score.

          Harvested apples from a farm in Eastern Washington are packed into boxes for shipping out to retailers. The apple shipping boxes are set to pack 42 pounds of apples. The actual weights of apples loaded into each box vary with mean $\mu = 42$ lbs and standard deviation $\sigma = 4$ lbs.
A) Is a sample of size 30 or more required in this problem to obtain a normally distributed sampling distribution of mean loading weights?
No
Yes
B) What is the probability that 36 boxes chosen at random will have mean weight less than 41.6 lbs of apples? (Round $\sigma_\bar{x}$ to two decimal places and your answer to four decimal places.)
**Notes: DO NOT round any z-score.

Harvested apples from a farm in Eastern Washington are packed into boxes for shipping out to retailers. The apple shipping boxes are set to pack 42 pounds of apples. The actual weights of apples loaded into each box vary with mean μ = 42 lbs and standard deviation σ = 4 lbs.
A) Is a sample of size 30 or more required in this problem to obtain a normally distributed sampling distribution of mean loading weights?
No
Yes
B) What is the probability that 36 boxes chosen at random will have mean weight less than 41.6 lbs of apples? (Round σx̅ to two decimal places and your answer to four decimal places.)
**Notes: DO NOT round any z-score.

Added by Denise W.

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