c. If a sample of 25 energy bars is selected, what is the probablity that the |(Round to three decimal places as needed.) d. Explain the difference in the results of (a) and (c). Part (a) refers to an individual bar, which can be thought of as a sample with sample size Therefore, the standard error of the mean for an individual bar is times the standard error of the sar sample size 25. This leads to a probability in part (a) that is (Type integers or decimals. Do not round.) the probability in part (c). e. Explain the difference in the results of (b) and (c). V than in (b). As the standard erm 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 V when the sarmple size annontrated around the mean. Therefore, the probability that the sample mean will fall close to the population mean will always

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Author:Amos Gilat
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The weight of an energy bar is approximately normally distributed with a mean of 42.80 grams with a standard deviation of 0.035 gram. Complete parts (a) through (e) below.
c. If a sample of 25 energy bars is selected, what is the probability that the sample mean weight is less than 42.775 grams?
|(Round to three decimal places as needed.)
d. Explain the difference in the results of (a) and (c).
Part (a) refers to an individual bar, which can be thought of as a sample with sample size
Therefore, the standard error of the mean for an individual bar is
fimes the standard error of the sample in (c
sample size 25. This leads to a probability in part (a) that is
the probability in part (c).
(Type integers or decimals. Do not round.)
e. Explain the difference in the results of (b) and (c).
V than in (b). As the standard error
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
V when the sample size
V values become more concentrated around the mean. Therefore, the probability that the sample mean will fall close to the population mean will always
(10)
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Transcribed Image Text:The weight of an energy bar is approximately normally distributed with a mean of 42.80 grams with a standard deviation of 0.035 gram. Complete parts (a) through (e) below. c. If a sample of 25 energy bars is selected, what is the probability that the sample mean weight is less than 42.775 grams? |(Round to three decimal places as needed.) d. Explain the difference in the results of (a) and (c). Part (a) refers to an individual bar, which can be thought of as a sample with sample size Therefore, the standard error of the mean for an individual bar is fimes the standard error of the sample in (c sample size 25. This leads to a probability in part (a) that is the probability in part (c). (Type integers or decimals. Do not round.) e. Explain the difference in the results of (b) and (c). V than in (b). As the standard error 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 V when the sample size V values become more concentrated around the mean. Therefore, the probability that the sample mean will fall close to the population mean will always (10) More View instructor tip 78°F P Type here to search
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