Please answer each and every step and do all the calculations and steps in answer .
(3 points) 3. In Amazon the average price of a N95 50 pcs bundle is $ 75. It follows a normal distribution. The probability that the price is between 55 and 60 is 4.41% and that the probability that it is greater than 90 is 6.68%. The middle 95.46% will be between what prices? (4 points)
4. Coquitlam Builders is a medium size home construction company. It wants to test the hypothesis that the average size of a new home unit exceeds 2,400 square feet. A random sample of 36 newly constructed homes had a mean of 2,510 square feet. Assume that the standard deviation of the size for all newly constructed homes is 480 square feet. Toll Brothers would like to set a = 0.02. Using the confidence interval approach, what is the decision in this case? (3 points)
My dear student I am allow to solve one question at a time so I am solving first one as per Chegg policy
Please answer each and every step and do all the calculations and steps in answer ....
Toll Brothers is a luxury home builder that would like to test the hypothesis that the average size of new homes exceeds 2,400 square feet. A random sample of 36 newly constructed homes had an average of 2,510 square feet. Assume that the standard deviation of the size for all newly constructed homes is 480 square feet. Toll Brothers would like to set a=0.02. Use critical sample mean approach to test this hypothesis.