Question

The local bakery bakes more than a thousand 1-pound loaves of bread daily, and the weights of these loaves varies. The mean weight is 1.6 lb. and 4 oz., or 839 grams. Assume the standard deviation of the weights is 20 grams and a sample of 34 loaves is to be randomly selected. (a) This sample of 34 has a mean value of x, which belongs to a sampling distribution. Find the shape of this sampling distribution. skewed right approximately normal     skewed left chi-square (b) Find the mean of this sampling distribution. (Give your answer correct to nearest whole number.) grams (c) Find the standard error of this sampling distribution. (Give your answer correct to two decimal places.) (d) What is the probability that this sample mean will be between 836 and 842? (Give your answer correct to four decimal places.) (e) What is the probability that the sample mean will have a value less than 835? (Give your answer correct to four decimal places.) (f) What is the probability that the sample mean will be within 4 grams of the mean? (Give your answer correct to four decimal places.) You may need to use the appropriate table in Appendix B to answer this question. Your work in question(s) 7 will also be submitted or saved. 7. –/10 points JKEStat11 7.E.035. Ask Your Teacher My Notes Question Part Points Submissions Used 1 2 3 4 5 6 7 –/1.42 –/1.42 –/1.42 –/1.42 –/1.42 –/1.42 –/1.48 0/10 0/10 0/10 0/10 0/10 0/10 0/10 Total –/10 Consider the approximately normal population of heights of male college students with mean μ = 66 inches and standard deviation of σ = 4.6 inches. A random sample of 16 heights is obtained. (a) Describe the distribution of x, height of male college students. skewed right approximately normal     skewed left chi-square (b) Find the proportion of male college students whose height is greater than 73 inches. (Give your answer correct to four decimal places.) (c) Describe the distribution of x, the mean of samples of size 16. skewed right approximately normal     skewed left chi-square (d) Find the mean of the x distribution. (Give your answer correct to the nearest whole number.) (ii) Find the standard error of the x distribution. (Give your answer correct to two decimal places.) (e) Find P(x > 65). (Give your answer correct to four decimal places.) (f) Find P(x < 63). (Give your answer correct to four decimal places.)

Answer 1