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A machine is supposed to fill cans that contain 12 oz. Each hour, a sample of four cans is tested

Question : A machine is supposed to fill cans that contain 12 oz. Each hour, a sample of four cans is tested : 2151663

SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question.

Construct a control chart for overbar x.

103) A machine is supposed to fill cans that contain 12 oz. Each hour, a sample of four cans is tested; the results of 15 consecutive hours are given below.

 10

104) A machine that is supposed to produce ball bearings with a diameter of 7 mm yields the following data from a test of 5 ball bearings every 20 minutes.

 10

105) A machine that is supposed to fill small bottles to contain 20 ml yields the following data from a test of 4 bottles every hour.

 10

106) A machine is supposed to fill boxes to a weight of 50 lbs. Every 30 minutes a sample of four boxes is tested; the results are given below.

 10

Construct an R chart.

107) A machine is supposed to fill cans that contain 12 oz. Each hour, a sample of four cans is tested; the results of 15 consecutive hours are given below.

 10

108) A machine that is supposed to produce ball bearings with a diameter of 7 mm yields the following data from a test of 5 ball bearings every 20 minutes.

 10

109) A machine that is supposed to fill small bottles to contain 20 ml yields the following data from a test of 4 bottles every hour.

 10

110) A machine is supposed to fill boxes to a weight of 50 lbs. Every 30 minutes a sample of four boxes is tested; the results are given below.

MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.

Find the indicated control limits.

111) For a production process for which there is a great deal of data since its last modification, the population mean μ and the population standard deviation σ are assumed known. For such a process we have the following values for an R chart:

central line = d2σ, UCL = D2σ, LCL = D1σ

(The values of d2, D1, and D2 are found in the table of control chart factors).

In a bottling factory, after bottling, the volume of juice in seven sample bottles is checked every 30 minutes. For this process, µ = 8.0 fl oz and σ = 0.03 fl oz Find the central line, UCL, and LCL for the range.

A) 0.081, 0.156, 0.006

B) 0.03, 0.060, 0.000

C) 0.076, 0.152, 0.000

D) 0.081, 0.058, 0.002

112) For a production process for which there is a great deal of data since its last modification, the population mean μ and the population standard deviation σ are assumed known. For such a process we have the following values for an overbar x chart:

central line = μ, UCL = μ + Aσ, LCL = μ - Aσ

(The value A is found in the table of control chart factors).

In a bottling factory, after bottling, the volume of juice in seven sample bottles is checked every 30 minutes. For this process, μ = 8.1 fl oz and σ = 0.07 fl oz Find the central line, UCL, and LCL for the mean.

A) 8.1, 8.179, 8.021

B) 8.1, 8.186, 8.014

C) 8.1, 8.134, 8.066

D) 8.1, 8.129, 8.071

113) For a production process for which there is a great deal of data since its last modification, the population mean μ and the population standard deviation σ are assumed known. For such a process we have the following values for an overbar x chart: central line = μ UCL = μ + Aσ, LCL = μ - Aσ (The value A is found in the table of control chart factors).

In a chalk-producing factory, after production, the length of six sample pieces of chalk is checked every 15 minutes. For this process, μ = 3.54 in. and σ = 0.18 in. Find the central line, UCL, and LCL for the mean.

A) 3.54, 3.744, 3.336

B) 3.54, 3.761, 3.320

C) 3.54, 3.782, 3.298

D) 3.54, 3.627, 3.453

114) For a production process for which there is a great deal of data since its last modification, the population mean μ and the population standard deviation σ are assumed known. For such a process we have the following values for an R chart: central line = d2σ, UCL = D2σ, LCL = D1σ (The values of d2, D1, and D2 are found in the table of control chart factors).

In a chalk-producing factory, after production, the length of six sample pieces of chalk is checked every 15 minutes. For this process, μ = 3.57 in. and σ = 0.17 in. Find the central line, UCL, and LCL for the range.

A) 0.460, 0.885, 0.035

B) 0.395, 0.836, 0.000

C) 0.431, 0.885, 0.035

D) 0.431, 0.863, 0.000

SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question.

Use the given process data to construct a control chart for p.

115) A drugstore considers a wait of more than 5 minutes to be a defect. Each week 100 customers are randomly selected and timed at the checkout line. The numbers of defects for 20 consecutive weeks are given below.

4 4 5 5 5 5 5 5 6 6 6 6 12 6 6 6 7 6 7 8 7

 

116) A manufacturer monitors the level of defects in the television sets that it produces. Each week, 200 television sets are randomly selected and tested and the number of defects is recorded. The results for 12 consecutive weeks are shown below.

4 7 5 6 8 3 12 4 4 5 6 2

 

117) If the weight of cereal in a particular packet is less than 14 oz, the packet is considered nonconforming. Each week, the manufacturer randomly selects 1,000 cereal packets and determines the number that are nonconforming. The results for 12 consecutive weeks are shown below.

46 32 21 30 47 31 32 52 48 45 62 58

 

MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.

Find the equation of the least-squares regression line. Graph the line and data points on the same graph.

118)

A) y = 0.15 + 2.8x

B) y = 0.15 + 3.0x

C) y = 2.8x

D) y = 3.0x

119)

A) y = 4.88 + 0.525x

B) y = 4.98 + 0.725x

C) y = 4.88 + 0.625x

D) y = 4.98 + 0.425x

120)

A) y = -2.79 + 0.897x

B) y = -3.79 + 0.801x

C) y = -2.79 + 0.950x

D) y = -3.79 + 0.897x

121)

A) y = 150.7 - 6.8x

B) y = -140.4 + 6.2x

C) y = -150.7 + 6.8x

D) y = 140.4 - 6.2x

122) Two different tests are designed to measure employee productivity and dexterity. Several employees are randomly selected and tested with these results.

A) y = 10.7 + 1.53x

B) y = 75.3 - 0.329x

C) y = 5.05 + 1.91x

D) y = 2.36 + 2.03x

123) Managers rate employees according to job performance and attitude. The results for several randomly selected employees are given below.

A) y = 11.7 + 1.02x

B) y = 92.3 - 0.669x

C) y = 2.81 + 1.35x

D) y = -47.3 + 2.02x

124)

A) y = 5.1 + 0.75x

B) y = 5.0 + x

C) y = 2.1 + 0.75x

D) y = 2.1 + 0.75x

125)

A) y = 40.0 - 6.25x

B) y = 90.0 - 5.0x

C) y = 70.4 - 6.2x

D) y = 100.4 - 6.2x

126)

A) y = 6.01 + 2.2x

B) y = -0.2 + 1.75x

C) y = 9.3 + 0.95x

D) y = 10.1 + 1.67x

Compute r, the linear coefficient of correlation, for the given data.

127)

A) -0.064

B) 0.072

C) 0

D) -0.072

128)

A) 0.214

B) 0.109

C) -0.054

D) -0.078

129)

A) -0.081

B) -0.775

C) 0

D) 0.754

130) The paired data below consist of the test scores of 6 randomly selected students and the number of hours they studied for the test.

A) -0.678

B) 0.678

C) -0.224

D) 0.224

131) The paired data below consist of the costs of advertising (in thousands of dollars) and the number of products sold (in thousands):

A) -0.071

B) 0.235

C) 0.708

D) 0.246

132) The paired data below consist of the temperatures on randomly chosen days and the amount a certain kind of plant grew (in millimeters):

A) 0.196

B) 0

C) 0.256

D) -0.210

133) A study was conducted to compare the average time spent in the lab each week versus course grade for computer students. The results are recorded in the table below.

A) 0.462

B) 0.017

C) -0.335

D) -0.284

134) Two different tests are designed to measure employee productivity and dexterity. Several employees are randomly selected and tested with these results.

A) -0.280

B) 0.115

C) 0.471

D) 0.986

135) Managers rate employees according to job performance and attitude. The results for several randomly selected employees are given below.

A) 0.863

B) 0.916

C) 0.729

D) 0.610

136) Two separate tests are designed to measure a student's ability to solve problems. Several students are randomly selected to take both tests and the results are shown below.

A) 0.548

B) 0.109

C) 0.867

D) 0.714

Find the equation of the indicated least-squares curve. Sketch the curve and plot the data points on the same graph.

137) The following data were found for the distance y that an object rolled down an inclined plane in time x. Find the least-squares curve y = mx2 + b

A) y = 9.7x2 + 15.1

B) y = 13.06x2 + 3.41

C) y = 6.53x2 + 6.81

D) y = 6.53x2 - 6.81

138) For the points on the following table, find the least-squares curve y = mx2 + b.

A) y = 1.07x2 - 0.76

B) y = 3.5x2 + 5.9

C) y = 2.14x2 - 1.52

D) y = 4.14x2 + 1

139) For the points on the following table, find the least-squares curve y = m√x + b.

A) y = 6.8√x - 2.9

B) y = 2.156√x + 3.937

C) y = 3.937√x + 2.156

D) y = 3.48√x + 2.962

140) For the points on the following table, find the least-squares curve y = m(1/x) + b.

A) y = -2.6(1/x) + 2.496

B) y = -3.6(1/x) + 2.9

C) y = -3.471(1/x) + 3.035

D) y = -3.035(1/x) + 3.471

141) For the points on the following table, find the least-squares curve y = m(10x) + b.

A) y = 0.0063(10x) - 2.647

B) y = 0.052(10x) - 3.187

C) y = 0.0098(10x) - 2.349

D) y = 0.147(10x) + 0.63

Solution
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