1. The national average percentage score of Grade 6 in National Achievement Test (NAT) recently for Math subject is 36.66 with a standard deviation of 3.57. If a random sample of 200 scores were selected, what is the probability that the sample average percentage score is higher than 45%? A. 3,600 B. 4,000 C. 25.36% D. 0% E. 2.75; 0.10 F. Not among the choices G. 3.78; 0.15 H. 33.40% I. 8.38% PLEASE answer within the choices only.

According to a study done by UCB students, the height for Martian adult males is normally distributed with an average of 64 inches and a standard deviation of 2.4 inches. Suppose one Martian adult male is randomly chosen. Let X = height of the individual. Round all answers to 4 decimal places where possible. a. What is the distribution of X? X- NO b. Find the probability that the person is between 64.4 and 67.3 inches. c. The middle 50% of Martian heights lie between what two numbers? Low: inches inches High:

I need help on all three parts please!!

Women's shoe sizes are (approximately) normally distributed, with an average size of 8.076 and a standard deviation of 1.468. You work at Vogue Magazine, and would like to interview some women about how shoes fit. You take a random sample of 10 women. What is the probability that the 10 women you sampled had an average shoe size that is less than 8?

The distribution of lowa Test of Basic Skills vocabulary scores for seventh-grade students in Gary, Indiana, is close to normal. Suppose that the distribution is exactly Normal with a mean of 6.84 and standard deviation of 1.55. What percent of the ITBS vocabulary scores are less than 3.74? 3 type your answer..... What percent of the scores are between 5.29 and 9.94? type your answer... 2 points d % C % f 5 t Templ b h u n m k alt P ctri

The amount of pollutants that are found in waterways near large cities is normally distributed with mean 8.5 ppm and standard deviation 1.4 ppm. 18 randomly selected large cities are studied. Round all answers to two decimal places. A.X-NO B. For the 18 cities, find the probability that the average amount of pollutants is more than 9 ppm. C. What is the probability that one randomly selected city's waterway will have more than 9 ppm pollutants? D. Find the IQR for the average of 18 cities. Q1 = Q3 = IQR:

3. Women's shoe sizes are (approximately) normally distributed, with an average size of 8.076 and a standard deviation of 1.468. You work at Vogue Magazine, and would like to interview some women about how shoes fit. You take a random sample of 10 women. What is the probability that the 10 women you sampled had an average shoe size that is between a 6 and a 9?

b. If a sample of 64 households selected what is the probability that the sample mean number of TV sets is greater than 2? QUESTION 20 Scores on a statistics final in a large class were normally distributed with a mean of 75 and a standard deviation of 8. The instructor wants to give an A to the students whose scores were in the top 08% of the class. What is the minimum score needed to get an A? (Provide your answer with two decimal places) Click Save and Submit to save and submit. Click Save All Answers to save all answers. Save Al-

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X 11. The heights of 18-year-old men are approximately normally distributed with mean 68 inches and standard deviation 3 inches. What is the probability that the average height of a sample of ten 18-year-old men will be between 68 and 69 inches? IX