A graphing calculator may be used wherever possible. However, you need to substantiate your answers for full credit. If necessary, you can round your answers to four decimal places. If you run out of room for your response, use the back of the page. [1](15) A population has a mean of 79 and a standard deviation of 27. Sample means are computed for several thousand random samples of size n = $1, and a relative frequency histogram is constructed for the sample means. a) According to the Central Limit Theorem, what kind of shape would you expect the histogram of the sample means to have and why? b) What value would you estimate for the mean of the histogram of sample means? What value would you estimate for the standard deviation of the histogram of sample means? [2](15) According to the U. S. Department of Agriculture, a 3-ounce serving of trimmed sirloin beef con- tains an average of 7.4 grams of fat. Assume that the amount of fat for such servings has approximately a normal distribution with a standard deviation of 0.4 grams. al Find the probability of servings that contain more than 8.06 grams of fat. bi Only one percent of servings contains more than what amount of fat? () What is the amount of fat if a 3-ounce serving of trimmed sirloin beef contains less than 2% of fat