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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 0.045 gram. Complete parts (a) through (e) below. a. What is the probability that an individual energy bar weighs less than 42.765 grams? (Round to three decimal places as needed.) b. If a sample of 4 energy bars is selected, what is the probability that the sample mean weight is less than 42.765 grams? (Round to three decimal places as needed.) c. If a sample of 25 energy bars is selected, what is the probability that the sample mean weight is less than 42.765 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 times the standard error of the sample in (c) with sample size 25. This lead the probability in part (c). to a probability in part (a) that is (Type integers or decimals. Do not round.)

The weight of an energy bar is approximately normally distributed with a mean of 42.80 grams with a standard deviation of 0.045 gram. Complete parts (a) through (e) below. a. What is the probability that an individual energy bar weighs less than 42.765 grams? (Round to three decimal places as needed.) b. If a sample of 4 energy bars is selected, what is the probability that the sample mean weight is less than 42.765 grams? (Round to three decimal places as needed.) c. If a sample of 25 energy bars is selected, what is the probability that the sample mean weight is less than 42.765 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 times the standard error of the sample in (c) with sample size 25. This lead the probability in part (c). to a probability in part (a) that is (Type integers or decimals. Do not round.)

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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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 0.045 gram. Complete parts (a) through (e) below. a. What is the probability that an individual energy bar weighs less than 42.765 grams? (Round to three decimal places as needed.) b. If a sample of 4 energy bars is selected, what is the probability that the sample mean weight is less than 42.765 grams? (Round to three decimal places as needed.) c. If a sample of 25 energy bars is selected, what is the probability that the sample mean weight is less than 42.765 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 times the standard error of the sample in (c) with sample size 25. This leads the probability in part (c). to a probability in part (a) that is (Type integers or decimals. Do not round.) e. 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
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 0.045 gram. Complete parts (a) through (e) below. a. What is the probability that an individual energy bar weighs less than 42.765 grams? (Round to three decimal places as needed.) b. If a sample of 4 energy bars is selected, what is the probability that the sample mean weight is less than 42.765 grams? (Round to three decimal places as needed.) c. If a sample of 25 energy bars is selected, what is the probability that the sample mean weight is less than 42.765 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 times the standard error of the sample in (c) with sample size 25. This leads the probability in part (c). to a probability in part (a) that is (Type integers or decimals. Do not round.) e. 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
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