Eii. b) Suppose that a nationwide manufacturing company that mslaom builds stainless steel tool cribs has engaged a marketing consultant to conduct a national opinion survey to determine the percent of the population who favor the manufacturing company's custom builds stainless steel too! cribs over their oompetitor's \"off the shelf" standard tool cribs. The marketing consultant will conduct a random survey of public opinion for $1.65 per interview. How mom will the survey cost the manufacturing company if the marketing rm insists that 95% of the time the margin of error be less than 5%? Also, assume that the manufacturing company's percent market share of the population is unknown as a oonservative measure. Suppose that a random sample is being drawn from the population of executives known to have a mean age of so with a standard deviation of 3 years. The population is normally distributed. What is the probability that a randme selected executive will be over 35 years of age? What is the probability, in a sample of 365 executives, that the mean age will wooed 35 years