Only 18% of all customers who visit a major retail store make a purchase, according to management data. A random sample of 100 customers is selected. What is the probability that this sample will have more than 10% of customers who will make a purchase?

Answer parts

(a) State the sample size.

(b) State the mean of the sampling distribution. Provide your answer as a value between 0 and 1, rounded to 2 decimal places.

(c) Calculate the standard deviation of the sampling distribution. Provide your answer as a value between 0 and 1, rounded to 4 decimal places.

(d) Calculate the z-score. Provide your answer rounded to 2 decimal places.

(e) Find the probability for your z-score from Table Z on pages A-78 & A-79. Provide your answer as a value between 0 and 1, rounded to 4 decimal places. No calculation is required, just look up the probability.

(f) Determine the probability which would answer the question above. Consider if you are looking for a probability above or below a certain value. Provide your answer as a value between 0 and 1, rounded to 4 decimal places.

Please answer it fast