review test submission: midterm 2 part 1

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EGR 280: Engineering Statistics (2016 Spring) 2016Spring-X-EGR280-20936 Midterm 2

Review Test Submission: Midterm 2 Part 1

H

Review Test Submission: Midterm 2 Part 1

User Mahmoud Mirza

Course EGR 280: Engineering Statistics (2016 Spring)

Test Midterm 2 Part 1

Started 3/15/16 8:43 PM

Submitted 3/16/16 1:29 PM

Due Date 3/16/16 11:59 PM

Status Completed

Attempt

Score

35.01 out of 42.01 points

TimeElapsed

16 hours, 45 minutes

Instructions This exam is open book, open notes. You may use any class materials, yourpreviously submitted homework assignments, or material that you find on the

eb. This exam is to be purely an individual e! ort; you cannot collaborate withanyone else in working this exam. Collaboration would include working withother students in the class, posting a question to an online forum or discussiongroup for help, or seeking help from any individual other than the courseinstructor in any way.

This exam must be completed no later than Wednesday March 16 at 11:59 PM

MST.

Question 1

Your test will not be graded unless you agree to the following statement:

I certify that this submission consists entirely of my work. I have neither requested noraccepted help from anyone in doing this work. I have not given help to anyone else forthis test. I understand that collaborating with anyone else in any form on this test isconsidered academic dishonesty and will be sanctioned as described in the ASU Studen

Academic Integrity Policy.

Question 2

Confidence Intervals around the Mean-Variance Known (Large Sample) (Part 1 of 4)

We wish to construct a two-sided 95.0% confidence interval. Compute z "/2

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Question 3


We wish to construct a two-sided 95.2% confidence interval around the mean for thedata values in the file T1_CIK_P382.csv. The number of values is n = 40, and thepopulation standard deviation is # = 2.17. Compute the lower limit of the confidenceinterval.

Question 4


We wish to construct a two-sided 82.5% confidence interval around the mean for thedata values in the file T1_CIK_P465.csv. The number of values is n = 25, and thepopulation standard deviation is # = 2.54 Compute the upper limit of the confidenceinterval.

Question 5


Suppose we wish to have a two-sided 84.3% confidence interval with width of ±1.00.Compute the number of samples required. The population standard deviation is # =2.80.

Question 6

Confidence Intervals around the Mean-Variance Unknown (Small Sample) (Part 1 of3)

Compute t n -1,"/2 for a two-sided 85.9% confidence interval around the mean. The

sample contains 16 values.

Question 7


Compute the lower limit of the two-sided 91.0% confidence interval around the meanfor the data values in the file T1_CIU_P576.csv. The number of values is n = 19.

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Question 8


Compute the upper limit of the two-sided 93.4% confidence interval around the meanfor the data values in the file T1_CIU_P937.csv. The number of values is n = 18.

Question 9

Confidence Intervals Using Paired Data (Part 1 of 3)

This problem requires you to compute a confidence interval on the di! erence of paireddata values; the data values for this test are in the file T1_CIP_P663.csv. There are 19data pairs. Your confidence interval should have a 98.0% level. For this problem,subtract the First Value from the Second Value.

Compute t n -1,"/2

Question 10


This problem requires you to compute a confidence interval on the di! erence of paireddata values; the data values for this test are in the file T1_CIP_P860.csv. There are 14data pairs. Your confidence interval should have a 96.8% level. For this problem,

subtract the First Value from the Second Value. Compute the lower limit for theconfidence interval.

Question 11


This problem requires you to compute a confidence interval on the di! erence of paireddata values; the data values for this test are in the file T1_CIP_P671.csv. There are 15data pairs. Your confidence interval should have a 92.4% level. For this problem,subtract the First Value from the Second Value. Compute the upper limit for theconfidence interval.

Question 12

Hypothesis Testing Vocabulary (Part 1 of 5)

Match each term with its definition.

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Question

Alternate Hypothesis

Statistical Hypothesis

Null Hypothesis

Question 13


True or False: The null hypothesis and alternate hypothesis can be the same.

Question 14


True or False: The null hypothesis is a hypothesis that will be retained or rejected on thbasis of a sample.

Question 15


Which of the following is true about the P-value?

Question 16


What does it mean that a result is significant at the 5% level?

Question 17

Hypothesis Testing Fundamentals (Part 1 of 5)

Put the following elements of a hypothesis test into the proper order:

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Question 18


Match each of the following questions with the type of hypothesis test that would bemost appropriate.

Question

Is the weight of airplanes taking o! from an airport higher than the designed load of the runway?

Is an automated cornflake box filling machine under filling or over filling boxes?

Are student test scores at a high school lower than the national average?

Question 19


Suppose you are determining whether the depth of groves cut into aluminum by amilling machine is equal to 1.7 mm. You cut 14 groves, then measure the depth of eachone. With these measurements, you perform a statistical hypothesis test to determine

hether the groove depth is equal to 1.7 mm. Which of the following tests would youuse?

Question 20


Suppose you are measuring the temperature at which rocket propellant burns todetermine whether it is higher than the maximum temperature at which the rocketnozzle will not be damaged. Which of the following tests would you use?

Question 21


Suppose you are testing ground water samples for the presence of salt. A level of salt omore than 50 mg/L is an indication that remedial action is required. You decide toperform a statistical hypothesis test to determine from the salt concentrations in 16ground water samples whether the salt concentration is above 50 mg/L. Which of thefollowing tests would you use?

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Question 22

Finding P-Values-variance known (Part 1 of 3)

Suppose we desire to perform the following one-sided upper hypothesis test on themean of a population (variance known):

H 0: $ = -4.133

H 1: $ > -4.133

The test is conducted using n = 36 samples. Suppose you know that the population

variance if H 0 is true is # 2 = 36.994. Compute the P-value for X = -5.225

Question 23


Suppose we desire to perform the following one-sided lower hypothesis test on the

mean of a population (variance known):

H 0: $ = -6.529

H 1: $ < -6.529


variance if H 0 is true is # 2 = 26.473. Compute the P-value for X = -7.569

Question 24


Suppose we desire to perform the following two-sided hypothesis test on the mean of apopulation (variance known):

H 0: $ = 8.617

H 1: $ % 8.617


variance if H 0 is true is # 2 = 47.485. Compute the P-value for X = 7.778

Question 25

Hypothesis Testing on the Mean-Variance Known (Part 1 of 4)

Suppose we desire to perform the following one-sided lower hypothesis test on themean of a population (variance known):

H 0: $ = 0.832

H 1: $ < 0.832

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The data for the test is in the file T1_HTK_P569.csv. Suppose you know that the

population variance if H 0 is true is # 2 = 26.392. Compute the P-value for this test.

Question 26


Suppose we desire to perform the following one-sided lower hypothesis test on themean of a population (variance known):

H 0: $ = -1.556

H 1: $ < -1.556

The data for the test is in the file T1_HTK_P3.csv. Suppose you know that the populatio

variance if H 0 is true is # 2 = 31.011. For this test and data, would you reject the null

hypothesis at a 5% confidence level?

Question 27



H 0: $ = 11.700

H 1: $ % 11.700


population variance if H 0 is true is # 2 = 48.636. Compute the P-value for this test.

Question 28



H 0: $ = 2.610

H 1: $ % 2.610


population variance if H 0 is true is # 2 = 37.965. For this test and data, would you rejec

the null hypothesis at a 5% confidence level?

Question 29

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Finding P-values-Variance Unknown (Part 1 of 2)

Suppose we desire to perform the following two-sided hypothesis test on the mean of apopulation; the population variance is unknown:

H 0: $ = -9.873

H 1: $ % -9.873

Compute the P-value for this test if x = -7.764, s 2 = 36.514, and n = 22 samples.

Question 30

Finding P-values-Variance Unknown (Part 2 of 2)


H 0: $ = 4.972

H

1:$ %

4.972Compute the P-value for this test if x = 7.698, s 2 = 46.977, and n = 22 samples.

Question 31

Hypothesis Testing on the Mean-Variance Unknown (Part 1 of 2)

Suppose we desire to perform the following two-sided hypothesis test on the mean of a

population; the population variance is unknown:

H 0: $ = 8.835

H 1: $ % 8.835

The data for the test is in the file T1_HTU_P458.csv. Compute the P-value for this test.

Question 32

Hypothesis Testing on the Mean-Variance Unknown (Part 2 of 2)


H 0: $ = 11.513

H 1: $ % 11.513

The data for the test is in the file T1_HTU_P307.csv. For this test and data, would youreject the null hypothesis at a 5% confidence level?

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Question 33

Paired t-test Hypothesis Test (Part 1 of 3)

This problem requires you to set up a paired t-test for the following hypothesis test:

H 0: $D = 0

H 1: $D % 0

The paired data values for this test are in the file T1_PTH_P765.csv. There are 18 datapairs. In the test, subtract the First Value from the Second Value. Also, $0 = 0

Compute the test statistic t 0

Question 34



H 0: $D = 0

H 1: $D % 0


Compute the P-value for this test.

Question 35



H 0: $D = 0

H 1: $D % 0


For this test and data, would you reject the null hypothesis at a 5% confidence level?

Question 36

Error (Part 1 of 3)

Suppose you wish to know whether alcohol gel fuel burns at a temperature hotter than1900 degrees C. You formulate the following hypothesis test:

H 0: $ = 1900 degrees C

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H 1: $ > 1900 degrees C

Match the following statements with the type of error they describe.

Question

After collecting a sample, you conclude the gel fuel burns at a temperature above1900 degrees C, when in fact it burns at a temperature of 1900 degrees C.

After collecting a sample, you conclude the gel fuel burns at a temperature of 1900degrees C, when in fact it burns at a temperature above 1900 degrees C.

Question 37

Error (Part 2 of 3)

Suppose you are testing whether the ventilation system in a room with several plasmacutters is adequate. In particular, you collect and analyze air samples, finding theconcentration of ozone in each sample, and you want to determine whether the ozone

concentration in the room is greater than 1 ppm.You formulate the following hypothesitest:

H 0: $ = 1 ppm

H 1: $ > 1 ppm

Which of the following sentences describes a Type II error?

Question 38

Error (Part 3 of 3)

Suppose you are testing rope samples to determine whether the maximum force therope can sustain before breaking is greater than 1000 lbs. You formulate the followinghypothesis test:

H 0: $ = 1000 lbs

H 1: $ > 1000 lbs

Which of the following sentences describes a Type I error?

Question 39

Correlation (Part 1 of 1)

What is r , the sample correlation coe&cient for thedata in T1_COR_P447.csv?

Question 40

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Wednesday, March 16, 2016 2:02:09 PM MST

Linear Regression (Part 1 of 2)

Compute a linear regression on the data in the file T1_LRG_P998.csv. What is the slopecoe&cient '1?

Question 41

Linear Regression (Part 2 of 2)

Compute a linear regression on the data in the file T1_LRG_P647.csv. What is theintercept coe&cient '0?

Question 42

Linear Regression Interpretation (Part 1 of 2)

The data in the file T1_LRI_P308.csvhave been fitted by the following linear regressionline:

yhat = 13.209 + -0.071 x

Find r 2, the coe&cient of determination for this linear regression.

Question 43

Linear Regression Interpretation (Part 2 of 2)

The data in the file T1_LRI_P571.csvhave been fitted by the following linear regressionline:

yhat = -3.265 + 0.127 x

Which of the following plots best represents the residuals for this linear regression?

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review test submission: midterm 2 part 1

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