. Question 5 'I' 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 38 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 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? 0 right-skewed O leftskewed 0 normal or approximately normal 0 uniform 0 unknown Why? Check all that apply: D population is normal D n is at least 33 D o is known D {I is unknown [3 n is less than 30 D population is not normal e.) Find the probability that the sample mean daily fat consumption of the 33 randomly selected U.S. males age 4949 is more than 102.8 g. Round final answer to 4 decimal places. |:] f.) Find the probability that the sample mean dailyr fat consumption of the 38 randomly selected U.S. males age 4049 is less than 101.4 . Round final answer to 4 decimal places. I: g.) Is a mean daily fat consumption of 101.4 g unusually low for 38 randomly selected U.S males age 40-49? O Yes, the probability of having a sample mean daily fat consumption of at least 101.4 is less than or equal to 0.05 OYes, the probability of having a sample mean daily fat consumption of at least 101.4 is more than 0.05 Yes, the probability of having a sample mean daily fat consumption of at most 101.4 is less than or equal to 0.05 OYes, the probability of having a sample mean daily fat consumption of at most 101.4 is more than 0.05 ONo, the probability of having a sample mean daily fat consumption of at least 101.4 is less than or equal to 0.05 O No, the probability of having a sample mean daily fat consumption of at least 101.4 is more than 0.05 O No, the probability of having a sample mean daily fat consumption of at most 101.4 is less than or equal to 0.05 O No, the probability of having a sample mean daily fat consumption of at most 101.4 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 101.4 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 higher than 103.1 g O There is no evidence that the mean daily fat consumption of all U.S. males age 40-49 has changed from 103.1 g O 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 Check AnswerIQuestionl 7' i Neveah and Ben began arguing about who did better on their tests, but they couldn't decide who did better given that they took different tests. Neveah took a test in Art History and earned a 3'1, and Ben took a test in Science and earned a 61.8. Use the fact that all the students' test grades in the Mt History class had a mean of HAS and a standard deviation of 9.4, and all the students' test grades in Science had a mean of {IDLE and a standard deviation of if] to answer the following questions. a] Calculate the 2-score for Neveah's test grade. 2: = [Round your answer to two decimal places.] b} Calculate the z-score for Ben's test grade. 3 = [Round your answer to two decimal places.] c} Which person did relatively better? {:4 Neveah 0 Ben C: They did equally well. I CheckAnswer I . Question 3 | . Question1 1' . i For a 4-units class like Statistics, students should spend average of 12 hours per week studying for the class. A survey;r was done on students, and the distribution of total study hours per week is bellshaped with a mean of 13 hours and a standard deviation of 2 hours. Use the Empirical Rule to answer the following questions. on this class. b] What percentage of the students between ? and 15 hours on this class? I: 5'6 c) What percentage of the students above 9 hours? :] 96 I CheckAnswer l