## [answered] At the Wilmington Trust Bank, on average 6 customers arrive

1. At the Wilmington Trust Bank, on average 6 customers arrive per hour at the drive-through window. What is the probability that, in any hour, less than 6 will arrive? Round your answer to 4 decimals.

 0.453 0.4457 0.4335 0.4497

4 points ??

Question 2
1. Use this table for the following question.

 Supplier Number Conforming Number Nonconforming A 95 3 B 126 6 C 55 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?

 0.7036 0.6846 0.662 0.5761

4 points ??

Question 3
1. The number of cell phone minutes used by high school seniors during the school year follows a normal distribution with a mean of 487 and a standard deviation of 62. What is the probability that a student uses more than 410 minutes?

 0.5987 0.8133 0.8186 0.8925

4 points ??

Question 4
1. On the basis of past experience, 42% of the bills of a large mail-order book company are incorrect. If a random sample of five current bills is selected what is the probability that two or less are incorrect?

 0.6475 0.7354 0.8735 0.973

4 points ??

Question 5
1. 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 95% certain of their claim. To accomplish this, they take a random sample of 250 trucks and measure their gas mileage. The average was 24.98 mpg with a population standard deviation of 4.88 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?=?23.95,?Upper?=?25.73?&?Claim is no their trucks do not?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

4 points ??

Question 6
1. The time required to complete a project is normally distributed with a mean of 112 weeks and a standard deviation of 14.35 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 80 percent sure of finishing by the due date, what due date (project week #) should be negotiated?

 120.96 124.08 127.49 130.39

4 points ??

Question 7
1. A local commuter bus service advertises that buses run every thirteen 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 11 minutes following their arrival at the bus stop??(Hint: Use the exponential distribution method to solve this question)

 0.5036 0.5709 0.5654 0.5831

4 points ??

Question 8
1. 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 59 210 2 129 331 3 159 515 4 26 130 5 16 30 6 95 205 7 47 135 8 8 85
 Y = 0.339x - 3.516 Y = 0.339x ? 4.171 Y = 0.339x - 2.128? Y = 0.339x ? 5.822

4 points ??

Question 9

1. 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 57 77 2 127 160 3 157 230 4 24 43 5 14 9 6 93 155 7 45 53 8 6 6
 Y = 0.671x + 9.284 Y = 5.426 + 0.675x Y = 0.671x + 3.931 Y = 0.683x + 2.594

4 points ??

Question 10
1. 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 57 215 77 2 127 336 160 3 157 520 230 4 24 135 43 5 14 35 9 6 93 210 155 7 45 140 53 8 6 90 6

 Y = 0.073X1 + 0.541X2 + 5.66 Y = 0.073X1 +0.541X2 + 0.593 Y?=?0.028X1?+?0.631X2?+?1.56 Y?=?0.079X1?+?0.533X2?+?1.85

4 points ??

Question 11
1. Refer to the data and your solutions to questions 10 ? 12 and identify which of the three models best predicts the expenses of a hospital. Note: use only the criteria mentioned in the four choices; do not go outside the problem to justify a choice.?

 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.

4 points ??

Question 12
1. Question 10 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 10.?

 6.608 5.786 5.318 4.459

4 points ??

Question 13

1. Scenario: The owner of the bike shop is concerned that his customer service is lacking and has decided to apply some statistical process control measures to his order fulfilling process so he contracted with a company specializing in gathering data on customer satisfaction. This organization tracked the number of order entry errors over a period of 25 days and in addition called 20 customers per day to and recorded the number of dissatisfied customer experiences. The table below is a record of the results from which you are to construct a p-Chart and a c-Chart for 95.5% confidence level.

 Day No. Complaints # surveyed ? Day No. Complaints # surveyed 1 2 15 ? 14 5 15 2 4 15 ? 15 4 15 3 3 15 ? 16 5 15 4 6 15 ? 17 6 15 5 13 15 ? 18 3 15 6 8 15 ? 19 2 15 7 7 15 ? 20 7 15 8 4 15 ? 21 5 15 9 6 15 ? 22 6 15 10 7 15 ? 23 5 15 11 7 15 ? 24 0 15 12 6 15 ? 25 4 15 13 5 15 ? ? ? ?

Question 13: What is the p-chart Upper Control Limit for this scenario at the 95.5% level?

 0.4198 0.4586 0.5574 0.5924

4 points ??

Question 14
1. Refer to the data in the Question?13.??What is the p-chart Lower Control Limit for this scenario at the 95.5% level?

 0.1009 0.1014 0.0654 0.0565

4 points ??

Question 15
1. Refer to the data in the Question 13.?What is the c-chart Upper Control Limit for this scenario at the 95.5% level??

 10.333 9.818 9.761 7.818

4 points ??

Question 16

1. Scenario: The data revealed that the most common complain was related to incorrect tire pressure in the front wheels of the mountain bike. Therefore each day, the Consultants randomly took 23 samples of five tire pressure reading which are shown in the table below and will be used to construct and x-bar and R charts. These data will be utilized for Questions 16 ? 18.

Question 16: What is the x-bar chart Upper Control Limit for this scenario at the 99.7% level??

 Day Sample1 Sample 2 Sample 3 Sample 4 Sample 5 1 20 26 21 25 28 2 25 29 23 20 23 3 26 21 31 27 27 4 21 19 22 28 27 5 19 23 29 30 30 6 28 31 28 21 29 7 28 25 27 21 30 8 26 23 20 23 25 9 23 25 26 29 21 10 34 33 34 33 34 11 23 23 27 24 29 12 31 30 30 22 20 13 24 27 27 23 28 14 23 19 21 31 23 15 30 23 28 19 31 16 31 25 20 31 31 17 30 23 32 33 33 18 10 32 23 12 19 19 29 29 22 26 30 20 25 28 29 26 25 21 24 24 29 26 24 22 21 23 19 20 28 23 22 29 26 23 28

 30.999 30.971 30.771 32.153

4 points ??

Question 17
1. Refer to the data in the Question?16.??What is the x-bar chart Lower Control Limit for this scenario at the 99.7% level?

 20.586 21.516 20.061 19.933

4 points ??

Question 18
1. Refer?to?the?data?in?Question?16.?What is the R-bar chart Upper Limit for this scenario at the 99.7% level??

 18.667 19.495 20.047 20.23

4 points ??

Question 19
1. If the arrival rate of customers entering into a system is 3 per hour (assume Poisson Distribution), the service rate is 6 per hour (assume exponential distribution) and there are 2 channels operating within the multichannel single-phase model, what is the probability of zero customers in the system?

 0.429 0.5 0.556 0.6

4 points ??

Question 20
1. If the arrival rate of customers entering into a system is 4 per hour (assume Poisson Distribution), the service rate is 7 per hour (assume exponential distribution) and there are 3 channels operating within the multichannel single-phase model, what is the probability of zero customers in the system?

 0.606 0.651 0.564 0.687

4 points ??

Question 21
1. If the arrival rate of customers entering into a system is 3 per hour (assume Poisson Distribution), the service rate is 4 per hour (assume exponential distribution) and there are 4 channels operating within the multichannel single-phase model, what is the probability of zero customers in the system?

 0.472 0.606 0.652 0.67

4 points ??

Question 22
1. Scenario: A local bank is conducting a cost review of one of its drive-in window locations. Specially it wants to know the cost of manning its drive-in window operation using various numbers of customer service personnel to man its Multichannel, single-Phase system. Accountants have assembled the following data:

Arrival Rate (assume Poisson distribution) per hour on average = 4 customers

Average Service Rate (assume exponential distribution) per channel per hour = 5 customers?

Wait-time cost per hour = \$56.00

Teller Wages & Benefits per hour =? \$35.00

Number of hours in operation per day = 8

?

Question 22: What is the total daily cost (of the system) if one teller manned the drive-in window at this location?

 \$2072.00 \$1412.00 \$1136.00 \$738.67

4 points ??

Question 23
1. Using the?data?from?Question?22.?What is the total daily cost (of the system) if two tellers manned the drive-in window at this location??

 \$920.00 \$855.13 \$798.58 \$986.67

4 points ??

Question 24
1. Using the data from Question 22. What is the total daily cost (of the system) if three tellers manned the drive-in window at this location?

 \$1206.88 \$1073.65 \$1193.20 \$1079.41

4 points ??

Question 25
1. Using the data from Question 22. If three tellers manned the drive-in window what is the utilization rate of its tellers?

 0.19 0.25 0.267 0.222

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