Answer 1 & 2

Suppose that a random variable X is normally distributed with mean 78 and standard deviation 17. If a random sample of size 36 is taken, what is the Z value, when x is 112? Please give your answer correctly rounded to two decimal places.Based on past data, the owner of a store believes that 0.8 of customers who walk in his store will make a purchase. Say, a random sample of 86 customers walks in his store and 0.72 of these made a purchase. What is the population mean of the sampling distribution of the sample proportion of customers who walk in and make a purchase in this store