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Suppose that males between the ages of 40 and 49 eat on average 103.8 g of fat every day with a standard deviation of 4.02 g. The amount of fat a person eats is not normally distributed but it is relatively mound shaped. State the random variable. The amount of fat a male between the ages of 40 and 49 eats every day. The mean amount of fat males between the ages of 40 and 49 eats every day. The standard deviation of the amount of fat males between the ages of 40 and 49 eats every day. Find the probability that a sample mean amount of daily fat intake for 32 men age 40-59 is more than 100 g. Round to four decimal places. P(x > 100) = Find the probability that a sample mean amount of daily fat intake for 32 men age 40-59 in the U.S. is less than 94 g. Round to four decimal places. P(x < 94)= If you found a sample mean amount of daily fat intake for 32 men age 40-59 in the U.S. less than 94 g, what would you conclude? O If the sample mean for 32 men age 40-59 were less than 94 g, there is not enough evidence to conclude that the mean amount of daily fat intake was less than 103.8 g. O If the sample mean for 32 men age 40-59 were less than 94 g, you could conclude that the mean amount of daily fat intake was less than 103.8 g.

Suppose that males between the ages of 40 and 49 eat on average 103.8 g of fat every day with a standard deviation of 4.02 g. The amount of fat a person eats is not normally distributed but it is relatively mound shaped. State the random variable. The amount of fat a male between the ages of 40 and 49 eats every day. The mean amount of fat males between the ages of 40 and 49 eats every day. The standard deviation of the amount of fat males between the ages of 40 and 49 eats every day. Find the probability that a sample mean amount of daily fat intake for 32 men age 40-59 is more than 100 g. Round to four decimal places. P(x > 100) = Find the probability that a sample mean amount of daily fat intake for 32 men age 40-59 in the U.S. is less than 94 g. Round to four decimal places. P(x < 94)= If you found a sample mean amount of daily fat intake for 32 men age 40-59 in the U.S. less than 94 g, what would you conclude? O If the sample mean for 32 men age 40-59 were less than 94 g, there is not enough evidence to conclude that the mean amount of daily fat intake was less than 103.8 g. O If the sample mean for 32 men age 40-59 were less than 94 g, you could conclude that the mean amount of daily fat intake was less than 103.8 g.

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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### Understanding Sampling Distributions **Scenario:** Suppose that males between the ages of 40 and 49 eat on average 103.8 g of fat every day with a standard deviation of 4.02 g. The distribution of the amount of fat a person eats is not normally distributed but is relatively mound-shaped. **Random Variable:** Identify the random variable from the given options: - The amount of fat a male between the ages of 40 and 49 eats every day. - The mean amount of fat males between the ages of 40 and 49 eats every day. - The standard deviation of the amount of fat males between the ages of 40 and 49 eats every day. **Calculating Probabilities:** 1. **Probability of Sample Mean Greater than 100 g:** Find the probability that a sample mean amount of daily fat intake for 32 men aged 40-59 is more than 100 g. Enter the probability rounded to four decimal places. - \(P(\bar{x} > 100) = \_\_\_\_\_\) 2. **Probability of Sample Mean Less than 94 g:** Determine the probability that a sample mean amount of daily fat intake for 32 men aged 40-59 in the U.S. is less than 94 g. Enter the probability rounded to four decimal places. - \(P(\bar{x} < 94) = \_\_\_\_\_\) **Conclusion from Sample Data:** If you found a sample mean amount of daily fat intake for 32 men aged 40-59 in the U.S. less than 94 g, decide what conclusion could be drawn: - If the sample mean for 32 men aged 40-59 were less than 94 g, there is not enough evidence to conclude that the mean amount of daily fat intake was less than 103.8 g. - If the sample mean for 32 men aged 40-59 were less than 94 g, you could conclude that the mean amount of daily fat intake was less than 103.8 g.
Transcribed Image Text:### Understanding Sampling Distributions **Scenario:** Suppose that males between the ages of 40 and 49 eat on average 103.8 g of fat every day with a standard deviation of 4.02 g. The distribution of the amount of fat a person eats is not normally distributed but is relatively mound-shaped. **Random Variable:** Identify the random variable from the given options: - The amount of fat a male between the ages of 40 and 49 eats every day. - The mean amount of fat males between the ages of 40 and 49 eats every day. - The standard deviation of the amount of fat males between the ages of 40 and 49 eats every day. **Calculating Probabilities:** 1. **Probability of Sample Mean Greater than 100 g:** Find the probability that a sample mean amount of daily fat intake for 32 men aged 40-59 is more than 100 g. Enter the probability rounded to four decimal places. - \(P(\bar{x} > 100) = \_\_\_\_\_\) 2. **Probability of Sample Mean Less than 94 g:** Determine the probability that a sample mean amount of daily fat intake for 32 men aged 40-59 in the U.S. is less than 94 g. Enter the probability rounded to four decimal places. - \(P(\bar{x} < 94) = \_\_\_\_\_\) **Conclusion from Sample Data:** If you found a sample mean amount of daily fat intake for 32 men aged 40-59 in the U.S. less than 94 g, decide what conclusion could be drawn: - If the sample mean for 32 men aged 40-59 were less than 94 g, there is not enough evidence to conclude that the mean amount of daily fat intake was less than 103.8 g. - If the sample mean for 32 men aged 40-59 were less than 94 g, you could conclude that the mean amount of daily fat intake was less than 103.8 g.
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