8. Take a random sample of 30 of the mam's Weigh them and divide the total weight by 30 What is the average weight? Q.92 - 30 Ada your value to the dotplot at the front of the room. Sketch the dotplot below 0.85 0.86 0.87 0.88 0.89 0.9 0.91 0.92 0.93 0.94 0.95 Sample Means (grams) 4. The company claims that the average weight of each piece is u = 0.9 grams with a standard deviation of a = 0.037 grams. Assume the company's claim is true. Let x - the mean weight of a candy for a sample of 30. a. Calculate the mean and standard deviation of the sampling distribution of x b. Interpret the standard deviation in context. c. What is the shape of the sampling distribution of x Justify d. One student took a sample of 30 and got a mean weight of 0.87 grams. Assuming the company's claim is true, what is the probability that a sample of 30 m&m's would have a mean weight of 0.87 or lower? Show work