1. The amounts of electricity bills for all households in a city have a skewed probability distribution with a mean of $140 and a standard deviation of $30.

a. Comment on shape of the sampling distribution if a random sample of 75 households is selected from this city.

b. Find the probability that the mean amount of electric bills for a random sample of 75 households selected from this city will be

i) between $132 and $136

ii) within $6 of the population mean

2.ABC Corporation makes cardboard boxes. Fifty-five randomly selected such boxes were loaded until they broke. The average breaking capacity of these boxes was found to be 78.52 pounds. Suppose that the standard deviation of the breaking capacities of all such boxes is 2.63 pounds. Calculate a 99% confidence interval for the average breaking capacity of all boxes of this type. Draw graph