Project #46726 - Statistics

 

2. (4 pts) Choose the correct answer. Justify your answers for full credit.

 

(a) An agency conducts a survey on the choice of vegetable by Americans.  It is reported by the agency that 57% of the respondents prefers broccoli. The value 57% is

 

(i) a parameter,

 

(ii) a statistic,-

 

(iii) neither of the above.

 

 

 

(b) The volume of water in a glass is 12 oz. The value of 12 is from

 

(i) a continuous data set,

 

(ii) a discrete data set,

 

(iii) neither of the above.

 

 

 

__________________________________________________________________


 

 

(For Questions 3 to 7)  The checkout times (in minutes) for 10 randomly selected customers at a large supermarket during the store’s busiest time are as follows:  

 

5

6

8

11

10

13

10

9

7

14

 

3.  (5 points)  (Show work) Give a 5-number summary of the checkout time. (Round the answers to one decimal place)

 

 

 

 

 

 

 

4.  (3 points)  Prepare a frequency distribution with a class width of 2 minutes (with the first class as 5.0 – 6.9, etc.).

 

 

 

 

 

 

 

5.   (2 points) (Show work) Identify the class midpoints for frequency distribution from Question 4. (Round the answers to two decimal places)

 

 

 

 

 

 

 

6.  (2 points)  (Show work) We usually find the mean checkout time based on the raw data. Now suppose that we don’t have the raw data, but instead, we only have the frequency distribution.  Find the mean checkout time based on the frequency distribution from Question 4. (Round the answer to two decimal places)  

 

 

 

  


 

 

7. (6 points)  (Show work) Find the standard deviation of the checkout time based on the frequency distribution from Question 4. Please show your intermediate calculation in the following table. (Round the final answer to two decimal places)  

 

Check-out time

Frequency    f

Mid-point     x

x2

f * x2

f * x

5.0 – 6.9

 

       

 

 

       

 

 

       

 

 

       

 

 

       

Sum

 

       

 

 

 

 

 

 

 

 __________________________________________________________________

 

(For Questions 8, 9 & 10)  To qualify for a mortgage, an applicant needs to have a good FICO credit score. We chose a random sample of 5 applicants from a local bank, and their FICO scores are 760, 640, 820, 540 and 620. 

 

8.  (4 points)  (Show work) What is the standard deviation of the FICO scores in the sample?   Please show your intermediate calculation in the following table; you may not need all columns based on the formula you use. (Round the answer to two decimal places)  

 

 FICO Score  x

x2

x-mean

(x-mean)2

760

 

 

 

640

 

 

 

820

 

 

 

 540

 

 

 

620

 

 

 

 

Sum

 

 

 

 

 

 9.  (2 points)  (Show work) Are any of these FICO scores considered unusual based on Range Rule of Thumb mentioned in the textbook?  Explain. 

 

  

 

        

 

 

 

 

 

 

 

10.  (2 points)  (Show work) What is the coefficient of variation in FICO scores of the sample? (Round the answer to two decimal places)  

 

 

 

 

 

Subject Mathematics
Due By (Pacific Time) 11/07/2014 08:00 pm
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