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  Question 1

   
 

[01] Consider the following numbers:

1

1

2

2

3

4

4

4

5

5


Sue says the average of the numbers is 3.5. When she says 'average', she is giving the

     

Selected Answer:

median

   
 

median

 

mode

 

midrange

     

Question 2

   
 

[02] Alan surveys the citizens of Townville by calling every 50 thname in the phone book. This is an example of what kind of sample?

     
   

Answers:

random

 

stratified

 

systematic

 

cluster

     

Question 3

   
 

[03] Every time Sam wears his red shirt, it rains outside. This is an example of

     
   

Answers:

correlation

 

causation

 

regression

 

hypothesis testing

     

Question 4

   
 

[04] Find Q 1for the following sample. Round your answer to 2 decimal places.

59.5

22.3

63

23.4

74.5

37

22.7

73.4

95.5

61.3

22.1

87

45.7

84.9

32.8

23.9

80.4

56

51.7

 
     
   

Answers:

22.10

 

56.00

 

23.90

 

74.50

     

Question 5

   
 

[05] If two dice are rolled one time, find the probability that the sum is not 10. Round your answer to 3 decimal places.

     
   

Answers:

0.917

 

0.083

 

0.889

 

0.833

     

·   Question 6

   
 

[06] If a coin is flipped 4 times in a row, find the probability that there will be heads at least once. Round your answer to 4 decimal places.

     
   

Answers:

0.0625

 

0.9375

 

0.1250

 

2.0000

     

·   Question 7

   
 

[07] Find the sample standard deviation of the sample below. Round your answer to 3 decimal places.

3

1

4

1

5

     
   

Answers:

2.800

 

3.200

 

1.600

 

1.789

     

·   Question 8

   
 

[08] A sample has a mean of 5.3, a median of 5.1, a sample standard deviation of 1.2, and a sample variance of 1.44. Compute the zscore for x=7.2. Round your answer to 3 decimal places.

     
   

Answers:

1.750

 

1.458

 

1.583

 

1.319

     

·   Question 9

   
 

[09] Suppose we want to estimate the mean body temperature of a population. If we know that the population standard deviation is 1.6°C and we want to be 95% certain we have correctly estimated the mean body temperature to within ±0.5°C, how large a sample size do we need to randomly select? Round your answer up to a whole number of people.

     
   

Answers:

40

 

1548

 

7

 

68

     

·   Question 10

   
 

[10] Fifteen students are competing in a spelling bee. The top 3 students (in any order) will advance to the state competition. How many 3-student combinations are possible?

     
   

Answers:

2730

 

45

 

5

 

455

     

·   Question 11

   
 

[11] If two cards are drawn without replacement, what is the probability that the first card is a black card and the second card is a red card? Round your answer to 4 decimal places.

     
   

Answers:

1.0000

 

0.2451

 

0.2500

 

0.2549

     

·   Question 12

   
 

[12] If a fair die is rolled two times, find the probability of rolling a 3, and then a 4. Round your answer to 4 decimal places.

     
   

Answers:

0.3333

 

0.0278

 

0.0833

 

0.0556

     

·   Question 13

   
 

[13] A random sample of 45 students studied for a mean duration of 6.8 hours last week. If the population standard deviation is 1.2 hours, what is the 99% confidence interval for the population mean?

     
   

Answers:

(6.51,7.09)

 

(6.45,7.15)

 

(6.34,7.26)

 

(3.71,9.89)

     

·   Question 14

   
 

[14] Data from 1963 shows that the standard deviation of daily high temperatures in Cititon was 5.5°C. A recent study of 22 randomly chosen days had a standard deviation of high temperature of 7.5°C. At a significance of 0.05, does it appear that the standard deviation has increased?

     
   

Answers:

There is not enough evidence to support the claim that the standard deviation has increased.

 

There is enough evidence to support the claim that the standard deviation has increased.

 

There is not enough evidence to support the claim that the mean has increased.

 

There is enough evidence to support the claim that the mean has increased.

     

·   Question 15

   
 

[15] Consider the following data:

x

1

2

3

4

5

y

2

4

8

16

32


What is the correlation coefficient? Round your answer to 4 decimal places.

     
   

Answers:

0.9333

 

0.8710

 

-9.2000

 

7.2000

     

·   Question 16

   
 

[16] Consider the following data:

x

1

2

3

4

5

y

2

4

8

16

32


Find the slope bin the regression equation y= a+ bx. Round your answer to 4 decimal places.

     
   

Answers:

0.9333

 

0.8710

 

-9.2000

 

7.2000

     

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