The weight of an energy bar is approximately normally distributed with a mean of 42.90 grams with a standard deviation of 0.045 gram. Explain the difference in the results of​ (b) and​ (c). The sample size in​ (c) is greater than the sample size in​ (b), so the standard error of the mean​ (or the standard deviation of the sampling​ distribution) in​ (c) is __A__ than in (b). As the standard error __B__ values become more concentrated arount the mean. Therefore, the probability that the sample mean will fall close to the population mean will always__C__ when the sample size increases.  A: less or greater B: increases or decreases C: decrease or increase (b): If a sample of 4 energy bars is​ selected, what is the probability that the sample mean weight is less than 42.865 ​grams? Answer:0.059  (c): If a sample of 25 energy bars is​ selected, what is the probability that the sample mean weight is less than 42.865 ​grams? Answer:0.001

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The weight of an energy bar is approximately normally distributed with a mean of 42.90 grams with a standard deviation of 0.045 gram.

Explain the difference in the results of​ (b) and​ (c).

The sample size in​ (c) is greater than the sample size in​ (b), so the standard error of the mean​ (or the standard deviation of the sampling​ distribution) in​ (c) is __A__ than in (b). As the standard error __B__ values become more concentrated arount the mean. Therefore, the probability that the sample mean will fall close to the population mean will always__C__ when the sample size increases. 

A: less or greater

B: increases or decreases

C: decrease or increase

(b): If a sample of 4 energy bars is​ selected, what is the probability that the sample mean weight is less than 42.865 ​grams? Answer:0.059 

(c): If a sample of 25 energy bars is​ selected, what is the probability that the sample mean weight is less than 42.865 ​grams? Answer:0.001

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