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Quiz 9 :Extra Credit

If you also are one of the students enjoying the extra credit, here is how you can get it. Answer the questions 1, 4, 7, 8, 14, 15 (each worth 5 pt.). Write the answers on this piece and bring them to blocker 447 on Thursday (April 8, 2004) before 12 pm. You need to tell them what your section number is so that they can place it in the right folder.

• If the student did not attend the class on Wednesday, he/she is only eligible for this extra part not the complete quiz. Her/his can be 30 pt. for quiz 9 if all questions answered correctly.

• If the student attends the class on Wednesday and answers all questions correctly in both days (Wednesday and Thursday), the highest grade on quiz 9 will be 130 pt.

• If the student attends the class on Wednesday but prefers not to do the extra part, means her/his highest grade can be 100 pt. for quiz 9.

Make sure to write your answers here. They will not be graded if they are anywhere else.

1. 4. 7. 8.

14. 15.

Quiz 9 and its extra credit questions (April 7, 2004 Wednesday in class)

Consider the following two cases and answer questions 1 to 4 using these cases.

|Decision |Population |[pic] |[pic] |

|Maintenance timing |Sugar sack content |( ( 10 lbs. (satisfactory) |( < 10 lbs. (underweight) |

|Garment manufacturing |Clothing expenditure |( = $200 (on target) |( ( $200 (off target) |

|Decision |Fail to reject [pic] if |Reject [pic] if |

|Maintenance timing |[pic]lbs. |[pic]lbs. (Do maintenance) |

| |(Continue operations) | |

|Garment manufacturing |[pic] |[pic] (Revise plan for lower expenditures) or |

| |(Use present plan) |[pic] (Revise plan for higher expenditures) |

Which of the following is the probability of type II error for maintenance timing when (=9.85, n=100 and (=0.5?

0

0.0228

0.1587

0.8413

0.9772

Which of the following is correct for the garment manufacturing?

[pic] is rejected if [pic] and present plan is used

[pic] is not rejected if [pic] and present plan is used

[pic] is rejected if [pic] and revised plan is used

[pic] is not rejected if [pic] and revised plan is used

none of the above

If [pic]=9.8, n=100 and (=0.5 for maintenance timing, which of the following is the test statistics?

-4

-2

-0.2

2

4

If [pic]=9.8, n=100 and (=0.5 for maintenance timing, which of the following is the P-value?

0

0.0228

0.1587

0.8413

0.9772

Which of the following is not a legitimate null hypothesis?

( =20

p ( 0.10

( ( 13

p < 0.10

( = 13

If the test statistics is z=-0.7 for the lower tailed test, which of the following is the P-value?

0.242

0.420

0.580

0.758

none of the above

If the test statistics is t=-0.7 and n=9 for the lower tailed test, which of the following is the P-value?

More than 0.10

Between 0.005 and 0.10

Between 0.001 and 0.005

Between 0.0005 and 0.001

Less than 0.0005

We computed the probability of the test statistics fall in the rejection region when the false null hypothesis is tested. Which of the following we computed?

(=P(reject H0 when H0 is true)

(= P(fail to reject H0 when H0 is false)

Power=1-(

1-(

all of the above

Which of the following is not a statistical hypothesis?

( = 10

[pic] > 0.5

( > 100

(2 = 5

( ( 3

Which of the following is correct?

If the P-value=0, we should definitely fail to reject H0.

We prefer the probability of type I and type II errors to be close to 1.

We prefer the power of the test to be close to 1.

all of the above

The normally distributed tire mileage data (in thousand of miles) are collected for a new tread design. The data are based on the 10 tires with the mean 53.87 and the standard deviation 7.76. Answer the next 2 questions using this information.

True average mileage for the tires with the new tread design is claimed to be 55 or more. Which of the following would be the corresponding null hypothesis?

( ( 55

( > 55

( = 55

( ( 55

( < 55

Which of the following would be the test statistics for testing true average mileage for the tires with the new tread design being 55 or more?

z=-0.4605

t=-0.4605

z=-0.1456

t=-0.1456

z=-1.13

If the test statistics is z=0.9, which of the following is the P-value for the lower tailed test?

0.1013

0.1841

0.3682

0.8159

0.8987

If the test statistics is z=-1.74, which of the following is the P-value for the two-tailed test?

0

0.0205

0.0409

0.0618

0.0818

If the P-value is 0.25, which of the following is correct?

Reject H0 with (=0.05

Fail to reject H0 with (=0.30

Reject H0 with (=0.01

Fail to reject H0 with (=0.05

Reject H0 with (=0.10

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