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- From: Mathematics, Statistics and Probability
- Posted on: Fri 22 Jan, 2016
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1
Question: R chart is a control chart used to monitor a process mean.
A True
B False
2
Question:
A If the null hypothesis is true, we don't reject it 1% of the time
B If the null hypothesis is true, we reject it 1% of the time
C If the null hypothesis is false, we don't reject it 1% of the time
D If the null hypothesis is false, we reject it 1% of the time
3
Question: The purpose of a control chart is to eliminate common cause variation.
A True
B False
4
Question: If an economist wishes to determine whether there is evidence that average family income in a community exceeds $25,000
A Either a one-tailed or two-tailed test could be used with equivalent results
B A one-tailed test should be utilized
C A two-tailed test should be utilized
D None of the above
5
Question: Which of the following would be an appropriate null hypothesis?
A The mean of a population is equal to 55
B The mean of a sample is equal to 55
C The mean of a population is greater than 55
D Only a) and c) are true
6
Question: It is possible to directly compare the results of a confidence interval estimate to the results obtained by testing a null hypothesis if
A A two-tailed test for µ is used
B A one-tailed test for µ is used
C Both of the previous statements are true
D None of the previous statements is true
7
Question: Common causes of variation represent variation due to the inherent variability in the system.
A True
B False
8
Question: For a given level of significance, if the sample size is increased, the power of the test will increase.
A True
B False
9
Question: A process is said to be out of control if
A A point falls above the upper or below the lower control lines
B A run of eight or more points is observed
C Either of the above
D None of the above
10
Question: How many Kleenex should the Kimberly Clark Corporation package of tissues contain? Researchers determined that 60 tissues is the average number of tissues used during a cold. Suppose a random sample of 100 Kleenex users yielded the following data on the number of tissues used during a cold: X-bar = 52, s = 22.
Using the sample information provided, calculate the value of the test is
A 60
B 3.636
C -60
D -3.636
11
Question: A student claims that he can correctly identify whether a person is a business major or an agriculture major by the way the person dresses. Suppose in actuality that he can correctly identify a business major 87% of the time, while 16% of the time he mistakenly identifies an agriculture major as a business major. Presented with one person and asked to identify the major of this person (who is either a business or agriculture major), he considers this to be a hypothesis test with the null hypothesis being that the person is a business major and the alternative that the person is an agriculture major.
What would be a Type II error?
A Saying that the person is a business major when in fact the person is a business major
B Saying that the person is a business major when in fact the person is an agriculture major
C Saying that the person is an agriculture major when in fact the person is a business major
D Saying that the person is an agriculture major when in fact the person is an agriculture major
12
Question: The larger the p value, the more likely one is to reject the null hypothesis.
A True
B False
13
Question: An entrepreneur is considering the purchase of a coin-operated laundry. The present owner claims that over the past 5 years, the average daily revenue was $675 with a standard deviation of $75. A sample of thirty days reveals a daily average revenue of $625. If you were to test the null hypothesis that the daily average revenue was $675, which test would you use?
A Z-test of a population mean
B Z-test of a population proportion
C t-test
D X2-test
14
Question: The symbol for the power of a statistical test is
A
B
C
D 1 – ?
15
Question: A factory supervisor is concerned that the time it takes workers to complete an important production task (measured in seconds) is too erratic and adversely affects expected profits. The supervisor proceeds by randomly sampling 5 individuals per hour for a period of 10 hours. The sample mean and range for each hour are listed below.
Suppose the supervisor constructs an X-bar chart to see if the process is in-control. The upper and lower control limits for the R chart are approximately UCL = 8.49 and LCL = 32.03
The process is in control.
A True
B False
16
Question: The control chart
A Focuses on the time dimension of a system
B Captures the natural variability in the system
C Can be used for categorical, discrete, or continuous variables
D All of the above
17
Question: The power of a statistical test is
A The probability of not rejecting H0 when it is false
B The probability of rejecting H0 when it is true
C The probability of not rejecting H0 when it is true
D The probability of rejecting H0 when it is false
18
Question: How many Kleenex should the Kimberly Clark Corporation package of tissues contain? Researchers determined that 60 tissues is the average number of tissues used during a cold. Suppose a random sample of 100 Kleenex users yielded the following data on the number of tissues used during a cold: X-bar = 52, s = 22.
A
B
C
D
19
Question: A student claims that he can correctly identify whether a person is a business major or an agriculture major by the way the person dresses. Suppose in actuality that he can correctly identify a business major 87% of the time, while 16% of the time he mistakenly identifies an agriculture major as a business major. Presented with one person and asked to identify the major of this person (who is either a business or agriculture major), he considers this to be a hypothesis test with the null hypothesis being that the person is a business major and the alternative that the person is an agriculture major.
What would be a Type I error?
A Saying that the person is a business major when in fact the person is a business major
B Saying that the person is a business major when in fact the person is an agriculture major
C Saying that the person is an agriculture major when in fact the person is a business major
D Saying that the person is an agriculture major when in fact the person is an agriculture major
20
Question:
A We have made a Type I error
B We have made a Type II error
C We have made a correct decision
D None of the above is correct
21
Question: The owner of a local night club has recently surveyed a random sample of n = 250 customers of the club. She would now like to determine whether the mean age of her customers is over 30. If so, she plans to alter the entertainment to appeal to an older crowd. If not, no entertainment changes will be made.
Suppose she found that the sample mean was 30.45 years and the sample standard deviation was 5 years. What is the p value associated with the test statistic?
A 0.3577
B 0.1423
C 0.0778
D 0.02
22
Question: An appliance manufacturer claims to have developed a compact microwave oven that consumes an average of no more than 250 W. From previous studies, it was determined that power consumption for microwave ovens is normally distributed with a standard deviation of 15 W. A consumer group has decided that the claim is suspicious and wishes to demonstrate that it is false. They take a sample of 20 microwave ovens and find that they consume an average of 257.3 W.
The null hypothesis will be rejected.
A True
B False
23
Question: A political pollster randomly selects a sample of 100 voters each day for 8 successive days and asks how many will vote for the incumbent. The pollster wishes to construct a p chart to see if the percentage favoring the incumbent candidate is too erratic.
The numerical value of the center line for the p chart is .56
A True
B False
24
Question: The principal focus of the control chart is the attempt to separate special or assignable causes of variation from common causes of variation. What cause of variation can be reduced only by changing the system?
A Special or assignable causes
B Common causes
C Total causes
D None of the above
25
Question: An appliance manufacturer claims to have developed a compact microwave oven that consumes an average of no more than 250 W. From previous studies, it was determined that power consumption for microwave ovens is normally distributed with a standard deviation of 15 W. A consumer group has decided that the claim is suspicious and wishes to demonstrate that it is false. They take a sample of 20 microwave ovens and find that they consume an average of 257.3 W.
For a test with a level of significance of 0.05, the critical value would be
A 2.33
B 1.645
C 1.96
D -1.645
26
Question:
A The null hypothesis should not be rejected
B The null hypothesis should be rejected
C A one-tailed test should be used
D No conclusion should be reached
27
Question: How many Kleenex should the Kimberly Clark Corporation package of tissues contain? Researchers determined that 60 tissues is the average number of tissues used during a cold. Suppose a random sample of 100 Kleenex users yielded the following data on the number of tissues used during a cold: X-bar = 52, s = 22.
State the null and alternative hypotheses if the researcher wishes to determine if the number of tissues used during a cold is less than 60.
A
B
C
D
28
Question: An appliance manufacturer claims to have developed a compact microwave oven that consumes an average of no more than 250 W. From previous studies, it was determined that power consumption for microwave ovens is normally distributed with a standard deviation of 15 W. A consumer group has decided that the claim is suspicious and wishes to demonstrate that it is false. They take a sample of 20 microwave ovens and find that they consume an average of 257.3 W.
The p value of the test is approximately 0.0148
A True
B False
29
Question: Which of the following are not part of the Shewhart cycle?
A Plan
B Do
C React
D Act
30
Question: How many Kleenex should the Kimberly Clark Corporation package of tissues contain? Researchers determined that 60 tissues is the average number of tissues used during a cold. Suppose a random sample of 100 Kleenex users yielded the following data on the number of tissues used during a cold: X-bar = 52, s = 22.
A Yes
B No
C Cannot tell from the information provided
31
Question: If we are performing a two-tailed test of whether µ = 100, the probability of detecting a shift of the mean to 105 will be ________ the probability of detecting a shift of the mean to 110.
A Less than
B Greater than
C Equal to
D Not comparable to
32
Question: A political pollster randomly selects a sample of 100 voters each day for 8 successive days and asks how many will vote for the incumbent. The pollster wishes to construct a p chart to see if the percentage favoring the incumbent candidate is too erratic.
The numerical value of the lower control limit for the p chart is .709
Data is missing [But you may mark (b) as the answer]
A True
B False
33
Question: If a researcher rejects a true null hypothesis, she has made a Type II error.
A True
B False
34
Question: A Type I error is committed when
A We reject a null hypothesis that is true
B We don't reject a null hypothesis that is true
C We reject a null hypothesis that is false
D We don't reject a null hypothesis that is false
35
Question: An appliance manufacturer claims to have developed a compact microwave oven that consumes an average of no more than 250 W. From previous studies, it was determined that power consumption for microwave ovens is normally distributed with a standard deviation of 15 W. A consumer group has decided that the claim is suspicious and wishes to demonstrate that it is false. They take a sample of 20 microwave ovens and find that they consume an average of 257.3 W.
For this test to be valid, it is necessary that the power consumption for microwave ovens has a normal distribution.
A True
B False
36
Question: It is not possible for the X-bar chart to be out-of-control when the R chart is in control.
A True
B False
37
Question: Changes in the system to reduce common cause variation are the responsibility of management.
A True
B False
38
Question: Once the control limits are set for a control chart, one attempts to
A Discern patterns that might exist in values over time
B Determine whether any points fall outside the control limits
C Both of the above
D None of the above
39
Question: A factory supervisor is concerned that the time it takes workers to complete an important production task (measured in seconds) is too erratic and adversely affects expected profits. The supervisor proceeds by randomly sampling 5 individuals per hour for a period of 10 hours. The sample mean and range for each hour are listed below.
Suppose the supervisor constructs an X-bar chart to see if the process is in-control. What is the center line of the chart?
A 20.26
B 20.4
C 43.13
D Cannot be determined from the problem statement
40
Question: Variation signaled by individual fluctuations or patterns in the data is called
A Special or assignable causes
B Common or chance causes
C Explained variation
D The standard deviation
41
Question: A factory supervisor is concerned that the time it takes workers to complete an important production task (measured in seconds) is too erratic and adversely affects expected profits. The supervisor proceeds by randomly sampling 5 individuals per hour for a period of 10 hours. The sample mean and range for each hour are listed below.
Suppose the sample mean and range data were based on 6 observations per hour instead of 5. How would this change affect the lower and upper control limits of an R chart?
A LCL would increase; UCL would decrease
B LCL would remain the same; UCL would decrease
C Both LCL and UCL would remain the same
D LCL would decrease; UCL would increase
42
Question: Which of the following is not one of Deming's fourteen points?
A Belief in mass inspection
B Create constancy of purpose for improvement of product or service
C Adopt and institute leadership
D Drive out fear
43
Question: Variation due to the inherent variability in a system of operation is called
A Special or assignable causes
B Common or chance causes
C Explained variation
D The standard deviation
44
Question: Which of the following statements is not true about the level of significance in a hypothesis test?
A The larger the level of significance, the more likely you are to reject the null hypothesis
B The level of significance is the maximum risk we are willing to accept in making a Type I error
C
D The significance level is another name for Type II error
45
Question: The owner of a local night club has recently surveyed a random sample of n = 250 customers of the club. She would now like to determine whether the mean age of her customers is over 30. If so, she plans to alter the entertainment to appeal to an older crowd. If not, no entertainment changes will be made.
The appropriate hypotheses to test are
A
B
C
D
46
Question: An appliance manufacturer claims to have developed a compact microwave oven that consumes an average of no more than 250 W. From previous studies, it was determined that power consumption for microwave ovens is normally distributed with a standard deviation of 15 W. A consumer group has decided that the claim is suspicious and wishes to demonstrate that it is false. They take a sample of 20 microwave ovens and find that they consume an average of 257.3 W.
The appropriate hypotheses to determine if the manufacturer's claim appears reasonable are
A
B
C
D
47
Question: Special or assignable causes of variation are signaled by individual fluctuations or patterns in the data.
A True
B False
48
Question:
A Will increase
B Will decrease
C Will remain the same
D Cannot be determined
49
Question: A factory supervisor is concerned that the time it takes workers to complete an important production task (measured in seconds) is too erratic and adversely affects expected profits. The supervisor proceeds by randomly sampling 5 individuals per hour for a period of 10 hours. The sample mean and range for each hour are listed below.
Suppose the supervisor constructs an R chart to see if the variability in collection times is in-control. What is the center line of this R chart?
A 20.26
B 20.4
C 43.13
D Cannot be determined from the problem statement
50
Question: An appliance manufacturer claims to have developed a compact microwave oven that consumes an average of no more than 250 W. From previous studies, it was determined that power consumption for microwave ovens is normally distributed with a standard deviation of 15 W. A consumer group has decided that the claim is suspicious and wishes to demonstrate that it is false. They take a sample of 20 microwave ovens and find that they consume an average of 257.3 W.
The value of the test statistic is ________
A -1.645
B 1.645
C -2.18
D 2.18
51
Question: A Type II error is committed when
A We reject a null hypothesis that is true
B We don't reject a null hypothesis that is true
C We reject a null hypothesis that is false
D We don't reject a null hypothesis that is false
52
Question:
A
B
C
D
53
Question: A factory supervisor is concerned that the time it takes workers to complete an important production task (measured in seconds) is too erratic and adversely affects expected profits. The supervisor proceeds by randomly sampling 5 individuals per hour for a period of 10 hours. The sample mean and range for each hour are listed below.
Suppose the supervisor constructs an R chart to see if the variability in collection times is in-control. The upper and lower control limits for the R chart are approximately UCL = 43.13 and LCL = 5.13
The process is in control.
A True
B False
Solution Description