In the United States, males between the ages of 40 and 49 eat on average 103.1 g of fat every day with a standard deviation of 4.32 g ("What we eat," 2012). The amount of fat a person eats is not normally distributed. A random sample of 36 men age 40-59 in the U.S. is taken. It is possible with rounding for a probability to be 0.0000. a.) List the givens with the correct symbols. ____ = 103.1 g

• n
• s
• X
• N
• XX

____ = 4.32 g

• N
• X
• s
• n
• XX

____ = 36

• n
• XX
• s
• N
• X

b.) Find the mean of the sampling distribution of the sample mean. Put the numeric value in the first box and the correct units in the second box. c.) Find the standard deviation of the sampling distribution of the sample mean. Put the numeric value rounded to two decimal places in the first box and the correct units in the second box. d.) What is the shape of the sampling distribution of the sample mean?

• normal or approximately normal
• right-skewed
• unknown
• left-skewed
• uniform
• Why? Check all that apply:
• population is not normal
• n is at least 30
• population is normal
• n is less than 30
• is known
• is unknown
• e.) Find the probability that the sample mean daily fat consumption of the 36 randomly selected U.S. males age 40-49 is more than 104.2 g. Round final answer to 4 decimal places. f.) Find the probability that the sample mean daily fat consumption of the 36 randomly selected U.S. males age 40-49 is less than 101.6 . Round final answer to 4 decimal places. g.) Is a mean daily fat consumption of 101.6 g unusually low for 36 randomly selected U.S males age 40-49?
• Yes, the probability of having a sample mean daily fat consumption of at least 101.6 is less than or equal to 0.05
• Yes, the probability of having a sample mean daily fat consumption of at least 101.6 is more than 0.05
• Yes, the probability of having a sample mean daily fat consumption of at most 101.6 is less than or equal to 0.05
• Yes, the probability of having a sample mean daily fat consumption of at most 101.6 is more than 0.05
• No, the probability of having a sample mean daily fat consumption of at least 101.6 is less than or equal to 0.05
• No, the probability of having a sample mean daily fat consumption of at least 101.6 is more than 0.05
• No, the probability of having a sample mean daily fat consumption of at most 101.6 is less than or equal to 0.05
• No, the probability of having a sample mean daily fat consumption of at most 101.6 is more than 0.05

• h.) If you found a sample mean daily fat consumption for U.S. males age 40-49 as low as 101.6 g, what might you conclude?

• There is evidence that the mean daily fat consumption of all U.S. males age 40-49 may now be lower than 103.1 g
• There is no evidence that the mean daily fat consumption of all U.S. males age 40-49 has changed from 103.1 g
• There is evidence that the mean daily fat consumption of all U.S. males age 40-49 may now be higher than 103.1 g