Question

A grocery store’s reciepts show that Sunday customer purchases have a skewed distribution with a mean of $32 and a standard deviation of $20. Complete parts a through c below.

-Multiple choice-

1.) Explain why you cannot determime the probability that the next Sunday customer will spend at least $40.

a.) The probability can only be determimed if the point is less than one standard deviation away from the mean

b.) The probability can only be determimed if the point is greater than one standard deviation away from the mean

c.) The probability cannot be determimed since the normal model cannot be used

d.) The probability cannot be determimed since the distribution has not been determimed specifically as left or right skewed

2.) Can you estimate the probability that the next 10 Sunday customers will spend an average of at least $40? Explain.

a.) The probability cannot be estimated since the distribution has not been determimed specifically as left or right skewed

b.) The probability can be estimated since the point is less than one standard deviation away from the mean

c.) The probability can be estimated using the normal model

d.) The probability cannot be estimated since 10 is a small sample and the skewness has not been identified

3.) Is it likely that the next 50 Sunday customers will spend an average of at least $40? Explain. Choose the correct answer below and, if necessary fill in the answer to complete your choice (type an integer or round to four decimal places as needed).

a.) Yes it is likely. The probability that the next 50 Sunday customers will spend an average of at least $40 is ______

b.) No, it is not likely. The probability that the next 50 Sunday customers will spend an average of at least $40 is ______

c.) The probability cannot be determimed

Answer 1

1.) Explain why you cannot determine the probability that the next Sunday customer will spend at least $40.

c.) The probability cannot be determined since the normal model cannot be used.

2.) Can you estimate the probability that the next 10 Sunday customers will spend an average of at least $40? Explain.

d.) The probability cannot be estimated since 10 is a small sample and the skewness has not been identified.

3.) Is it likely that the next 50 Sunday customers will spend an average of at least $40? Explain. Choose the correct answer below and, if necessary fill in the answer to complete your choice (type an integer or round to four decimal places as needed).

a.) Yes it is likely. The probability that the next 50 Sunday customers will spend an average of at least $40 is 0.9977

Since n > 50 can be approximated to normal distribution. hence the probability