Solutions for Quiz 5 - Introduction to Statistical Reasoning | STATS 10, Quizzes of Statistics

Material Type: Quiz; Professor: Almohalwas; Class: Introduction to Statistical Reasoning; Subject: Statistics; University: University of California - Los Angeles; Term: Winter 2011;

Typology: Quizzes

2010/2011

Uploaded on 02/21/2011

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Winter 2011 - Week 7
CCLE
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/ 11W-STATS10-1
/ Quizzes
/ Quiz 5, Due Monday, Feb. 14 2011
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Quiz 5, Due Monday, Feb. 14 2011
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Winter 2011 - Week 7 CCLE

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Quiz 5, Due Monday, Feb. 14 2011

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Started on Thursday, February 17, 2011, 08:20 AM

Completed on Thursday, February 17, 2011, 08:20 AM

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Question 1 Marks: 1 In a recent issue of Science magazine, we read about a new computer-based test for ovarian cancer, "clinical proteomics" that exams a blood sample for the presence of certain patterns of proteins. Ovarian cancer, though dangerous, is very rare, affecting only one in 5000 women. The test is highly sensitive, able to correctly detect the present of ovarian cancer in 99.97% of women who have the disease. However, it is unlikely to be used as a screening test for the general public, because the test gives a false positive 5% of the time. Determine from the choices below the probability that a woman tests positive using this method. Choose one answer.

A. 0.00020.9997 + 0.99980.

B. 0.0002*0.

C. 0.0998*0.

D. (0.00020.9997)/(0.00020.9997 + 0.9998*0.05)

E. (0.99980.95)/(0.00020.0003 +0.998*0.95)

Make comment or override grade Incorrect Marks for this submission: 0/1.

Question 2 Marks: 1 Defective Tires The probability distribution of x, the number of defective tires on randomly selected automobiles at a certain inspection station, is given in the accompanying table.

x= defective 0 1 2 3 4

probability(x) 0.54 0.16 0.06 0.04 0.

After you calculate the expected number (the mean) of defective tires, determine the probability that x exceeds the expected value.

Choose one answer.

Question 4 Marks: 1 What percent of dark-eyed students wear corrective lens? Choose one answer.

A. 37/60 = 61.7%

B. 60/80 = 75%

C. 23/80 = 28.8%

D. None of these values.

E. 23/60 = 38.3%

Make comment or override grade Incorrect Marks for this submission: 0/1.

Question 5 Marks: 1 What percent of those students who wear lens are dark-eyed? Choose one answer.

A. 34/80 = 42.5%

B. 23/80 = 28.8%

C. 23/34 = 67.6%

D. 23/60 = 38.3%

E. 34/60 = 56.7%

Make comment or override grade Incorrect Marks for this submission: 0/1.

Question 6 Marks: 1 If you find a pair of prescription sun glasses after class, what are the chances that the glasses belong to a dark-eyed student? Choose one answer.

A. 23/60 = 38.3%

B. 23/80 = 28.8%

C. 34/80 = 42.5%

D. 34/60 = 56.7%

E. 23/34 = 67.6%

Make comment or override grade Incorrect Marks for this submission: 0/1.

Question 7 Marks: 1 Here is a contingency or two-way table for those aboard the Titanic, classsified according to class of ticket and whether or not they survived.

First Second Third Crew Total

Survived 203 118 178 212 711

Died 122 167 528 673 1490

Total 325 285 706 885 2201

Use the data from the table for problems 1-5.

If you select person aboard the Titanic, what are the chances that that person is a survivor? Choose one answer.

A. 711/2201 = 32.3%

B. None of these values. C. 203/711 = 28.6% D. 1490/2201 = 67.7% E. 203/325 = 62.5%

Make comment or override grade Incorrect Marks for this submission: 0/1.

Question 8 Marks: 1 Imagine that you are taking a multiple-choice test in a language which is completely unfamiliar to you. Suppose the test has five questions with four choices for each answer and only one of the four choices is correct. If you

If we select one record for those who wore a seatbelt, what are the chances that the person survived? Choose one answer.

A. 574,895/577,

B. 412,878/577,

C. 412,368/577,

D. 412,368/412,

Make comment or override grade Incorrect Marks for this submission: 0/1.

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