A population has parameters = 178.3 and & = 25.5. You intend to draw a random sample of size n = 202, What is the mean of the distribution of sample means? bz = What is the standard deviation of the distribution of sample means? (Report answer accurate to 2 decimal places.) TF Question Help: []Video A particular fruit's weights are normally distributed, with a mean of 579 grams and a standard deviation of 9 grams. If you pick 2 fruits at random, then 13% of the time, their mean weight will be greater than how many grams? Give your answer to the nearest gram. Question Help: [] Video A population of values has a normal distribution with = 165.3 and o0 = 78.4. You intend to draw a random sample of size n = 23. Find the probability that a single randomly selected value is greater than 175.1. P(X=175.1) = Find the probability that a sample of size n = 23 is randomly selected with a mean greater than 175.1. P(M > 175.1) = Enter your answers as numbers accurate to 4 decimal places. Answers obtained using exact z-scores or z- scores rounded to 3 decimal places are accepted. Question Help: [] Video A manufacturer knows that their items have a lengths that are skewed right, with a mean of 6.8 inches, and standard deviation of 0.9 inches. If 42 items are chosen at random, what is the probability that their mean length is greater than 6.9 inches? (Round answer to four decimal places) Question Help: [] Video