At the Wilmington Trust Bank, on average 8 customers arrive per
hour at the drive-through window. What is the probability that, in
any hour, less than 8 will arrive Round your answer to 4
decimals.Question 1

At the Wilmington Trust Bank, on average 8 customers arrive
per hour at the drive-through window. What is the probability that,
in any hour, less than 8 will arrive Round your answer to 4
decimals.

0.4530

0.4457

0.4335

0.4318

5 points

Question 2

Use this table for the following question.

Supplier

Number Conforming

Number Nonconforming

A

101

3

B

95

6

C

36

2

What is the probability of that a randomly selected part will be from supplier B, or a nonconforming unit from supplier A, or a conforming part from supplier C

0.6846

0.6620

0.5761

0.4854

5 points

Question 3

The number of cell phone minutes used by high school seniors
during the school year follows a normal distribution with a mean of
625 and a standard deviation of 55. What is the probability that a
student uses more than 575 minutes

0.6475

0.8133

0.8186

0.8925

5 points

Question 4

On the basis of past experience, 26% of the bills of a large
mail-order book company are incorrect. If a random sample of seven
current bills is selected what is the probability that two or less
are incorrect

0.6475

0.7354

0.9730

0.9920

5 points

Question 5

Ford Motor Company is confident that its 2016 F-150 truck
gets 26 miles per gallon on the highway. Before they begin to
advertise this fact they want to be 98% certain of their claim. To
accomplish this, they take a random sample of 250 trucks and
measure their gas mileage. The average was 24.91 mpg with a
population standard deviation of 4.77 mpg. Calculate the Upper and
Lower Confidence Interval values AND can Ford make the claim that
their trucks will get 26 mpg on the highway.

Lower = 25.06, Upper = 26.94 & Claim is yes their trucks do get 26 mpg

Lower = 24.38, Upper = 25.58 & Claim is no their trucks do not get 26 mpg

Lower = 24.21, Upper = 25.61, & Claim is no their trucks do not get 26 mpg

Lower = 24.19, Upper = 25.71, & Claim is no their trucks do
not get 26 mpg

5 points

Question 6

The time required to complete a project is normally
distributed with a mean of 110 weeks and a standard deviation of
13.65 weeks. The construction company must pay a penalty if the
project is not finished by the due date in the contract. If a
construction company bidding on this contract wishes to be 90
percent sure of finishing by the due date, what due date (project
week #) should be negotiated

112.39

120.96

124.08

127.49

5 points

Question 7

Customers arrive at a supermarket checkout counter with an
average arrival rate of 9 customers per hour. What is the
probability of less than 7 customers arriving at the supermarket
checkout counter in a given one-hour period

0.2068

0.1432

0.0998

0.0625

5 points

Question 8

A local commuter bus service advertises that buses run every
eighteen minutes along a certain route. What is the probability of
a bus picking up the passengers at a given bus stop in less than or
equal to 15 minutes following their arrival at the bus stop (Hint:
Use the exponential distribution method to solve this question)

0.5709

0.5654

0.5831

0.5925

5 points

Question 9

If the average number of cars that passed through a toll both
between 2:00 AM & 3:00 AM is sixteen, what is the probability
that tonight exactly 19 cars would pass during the same time
frame

0.0418

0.0467

0.0699

0.0814

5 points

Question 10

If on average the customer service center receives 24 calls
per hour during the hours of noon till 3:00 PM. What is the
probability that today 20 or more calls will be received

0.8197

0.8252

0.8310

0.8564

5 points

Question 11

The total expenses of a hospital are related to many factors.
Two of these factors are the number of beds in the hospital, and
the number of admissions. Data was collected on 8 hospitals as
shown in the table below. Develop a regression model to predict the
total expenses of a hospital based upon the number of beds.

Expenses

# Beds

1

61

220

2

131

341

3

161

525

4

28

140

5

18

40

6

97

215

7

49

145

8

10

95

Y = 0.339x – 3.516

Y = -15.64 – 1.02x

Y = 0.339x – 2.128

Y = .339x – 5.822

5 points

Question 12

The total expenses of a hospital are related to many factors.
Two of these factors are the number of beds in the hospital, and
the number of admissions. Data was collected on 8 hospitals as
shown in the table below. Develop a regression model to predict the
total expenses of a hospital based upon the number of
admissions.

Expenses

Admissions

1

61

81

2

131

164

3

161

230

4

28

47

5

18

13

6

97

159

7

49

57

8

10

7

Y = 0.671x + 9.284

Y = 5.426 + 0.675x

Y = 0.671x + 3.931

Y = .032x + 6.751

5 points

Question 13

The total expenses of a hospital are related to many factors.
Two of these factors are the number of beds in the hospital, and
the number of admissions. Data was collected on 8 hospitals as
shown in the table below. Develop a regression model to predict the
total expenses of a hospital based upon the number of beds and the
number of admissions.

Expenses

# Beds

Admissions

1

61

220

81

2

131

341

164

3

161

525

230

4

28

140

47

5

18

40

13

6

97

215

159

7

49

145

57

8

10

95

7

Y = 0.073X1 + 0.541X2 + 5.66

Y = 0.073X1 +0.541X2 + 0.593

Y = 1.02X1 -15.64X2 + 0.07

Y = 0.079X1 +0.533X2 + 1.85

5 points

Question 14

Refer to the data and your solutions to questions 11 – 13 and
identify which of the three models best predicts the expenses of a
hospital.

The regression model based upon beds only is the best because it has the highest r value.

The regression model based upon admissions only is the best because it has the highest r value.

The regression model based upon beds and admissions is the best because it has the highest r value.

The regression model based upon beds only is the best because it has the highest r2 value.

The regression model based upon admissions only is the best
because it has the highest r2 value.

5 points

Question 15

Question 13 states: “The total expenses of a hospital are
related to many factors. Two of these factors are the number of
beds in the hospital, and the number of admissions.” Identify the F
critical value for the regression model in Question 13.

6.608

5.786

5.318

4.459

5 points

Question 16

The owner of a bicycle repair and sales business has hired
you to help him make his business more profitable. The following
table shows sales data for one product for each month for the year
(assume 30 days/month). These data will be referenced in order to
answer questions 16 – 20.

Month

Sales

Forecast

Month 1

92

91

Month 2

77

Month 3

66

Month 4

74

Month 5

68

Month 6

84

Month 7

84

Month 8

74

Month 9

75

Month 10

63

Month 11

86

Month 12

84

Month 13

Question 16: Use a 4-month moving average to calculate the sales forecast for months 5, 10 & 13.

77.25, 79.25 & 77.00

77.50, 79.75 & 76.75

78.75, 81.00 & 78.25

81.97, 79.28 & 79.38

5 points

Question 17

Refer to the data in the Question 16 and use exponential
smoothing at an alpha of 0.30 to calculate each month’s forecast.
What are the forecasts for Months 4, 10 & 12

74.5, 75.75 & 77.5

80.92, 77.74 & 76.82

80.71, 77.16 & 76.84

81.97, 79.28 & 79.38

5 points

Question 18

Refer to the data in the Question 16 and calculate the
seasonal index for Months 3 and 6.

0.85 & 1.08

0.85 & 1.09

0.85 & 1.02

0.83 & 1.06

5 points

Question 19

Refer to the data in the Question 16 and use the forecast
generated by the exponential smoothing method calculate the MAD for
the data.

9.29

8.86

8.19

4.62

5 points

Question 20

Refer to the data in the Question 16 and calculate the
Weighted Average Forecast for Months 5 – 13 where the most recent
month carries a weight of 4, the next most recent month a weight of
3, the next a weight of 2 and finally the oldest month carries a
weight of 1. The weights are arranged from the most recent month to
the oldest month: 4, 3, 2, & 1. What are the forecasts for
months 6, 9 & 13

71.2, 79.4 & 79.2

73.7, 81.9 & 81.0

75.2, 91.9 & 81.0

70.3, 78.4 & 79.5

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