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Use this table for the following question. Supplier Number Conforming Number Nonconforming A 105 3 B 185 6 C 60 2 What is the probability

  1. Use this table for the following question.

    Supplier

    Number Conforming

    Number Nonconforming

    A

    105

    3

    B

    185

    6

    C

    60

    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

    0.6620

    0.5761

  2. The number of cell phone minutes used by high school seniors during the school year follows a normal distribution with a mean of 435 and a standard deviation of 56. What is the probability that a student uses more than 421 minutes?

    0.5987

    0.8133

    0.8186

    0.8925

  3. On the basis of past experience, 35% of the bills of a large mail-order book company are incorrect. If a random sample of four current bills is selected what is the probability that two or less are incorrect?

    0.6475

    0.7354

    0.8735

    0.9730

  4. 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 24.66 mpg with a population standard deviation of 4.81 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 notget26mpg

    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. 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 90 percent sure of finishing by the due date, what due date (project week #) should be negotiated?

    120.96

    124.08

    127.49

    130.39

  6. A local commuter bus service advertises that buses run every seventeen 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 12 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

  7. 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

    57

    214

    2

    127

    331

    3

    157

    516

    4

    28

    123

    5

    14

    38

    6

    93

    204

    7

    45

    142

    8

    9

    96

    Y = 0.339x - 3.516

    Y = 0.339x 4.171

    Y = 0.339x - 2.128

    Y = 0.339x 5.822

  8. 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

    87

    2

    127

    166

    3

    157

    228

    4

    28

    47

    5

    14

    11

    6

    93

    143

    7

    45

    58

    8

    9

    6

    Y = 0.671x + 9.284

    Y = 5.426 + 0.675x

    Y = 0.671x + 3.931

    Y = 0.683x + 2.594

  9. 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

    214

    87

    2

    127

    331

    166

    3

    157

    516

    228

    4

    28

    123

    47

    5

    14

    38

    11

    6

    93

    204

    143

    7

    45

    142

    58

    8

    9

    96

    6

    Y = 0.073X1 + 0.541X2 + 5.66

    Y = 0.073X1 +0.541X2 + 0.59

    Y=0.028X1+0.631X2+1.56

    Y = 0.079X1 +0.533X2 + 1.85

  10. Refer to the data and your solutions to questions 9 11and 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 r2value.

    The regression model based upon admissions only is the best because it has the highest r2value.

  11. 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

  12. 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

    22

    14

    5

    22

    2

    4

    22

    15

    4

    22

    3

    3

    22

    16

    5

    22

    4

    6

    22

    17

    6

    22

    5

    12

    22

    18

    3

    22

    6

    8

    22

    19

    2

    22

    7

    7

    22

    20

    7

    22

    8

    4

    22

    21

    5

    22

    9

    6

    22

    22

    6

    22

    10

    7

    22

    23

    5

    22

    11

    7

    22

    24

    2

    22

    12

    6

    22

    25

    4

    22

    13

    5

    22

    Question 12: What is the p-chart Upper Control Limit for this scenario at the 95.5% level?

    0.4198

    0.4586

    0.5574

    0.5924

  13. Refer to the data in the Question12.What is the p-chart Lower Control Limit for this scenario at the 95.5% level?

    0.1009

    0.1014

    0.0654

    0.0565

  14. Refer to the data in the Question 12.What is the c-chart Upper Control Limit for this scenario at the 95.5% level?

    10.333

    9.818

    9.761

    7.818

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