A random sample of 100 foxes was examined by a team of

Chapter 1, Problem 36SE

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QUESTION:

A random sample of 100 foxes was examined by a team of veterinarians to determine the prevalence of a specific parasite. Counting the number of parasites of this specific type, the veterinarians found that 69 foxes had no parasites of the type of interest, 17 had one parasite of the

     3. Exercises preceded by an asterisk are optional.

type under study, and so on. A summary of their results is given in the following table:

Number of Parasites

0     1     2     3     4     5     6     7     8

Number of Foxes

69   17   6     3     1     2     1     0     1

a Construct the relative frequency histogram for the number of parasites per fox.

b Calculate \(\bar{y}\) and s for the data given.

c What fraction of the parasite counts falls within 2 standard deviations of the mean? Within

3 standard deviations? Do your results agree with Tchebysheff’s theorem (Exercise 1.32)

and/or the empirical rule?

Equation Transcription:

Text Transcription:

y bar

Questions & Answers

QUESTION:

A random sample of 100 foxes was examined by a team of veterinarians to determine the prevalence of a specific parasite. Counting the number of parasites of this specific type, the veterinarians found that 69 foxes had no parasites of the type of interest, 17 had one parasite of the

     3. Exercises preceded by an asterisk are optional.

type under study, and so on. A summary of their results is given in the following table:

Number of Parasites

0     1     2     3     4     5     6     7     8

Number of Foxes

69   17   6     3     1     2     1     0     1

a Construct the relative frequency histogram for the number of parasites per fox.

b Calculate \(\bar{y}\) and s for the data given.

c What fraction of the parasite counts falls within 2 standard deviations of the mean? Within

3 standard deviations? Do your results agree with Tchebysheff’s theorem (Exercise 1.32)

and/or the empirical rule?

Equation Transcription:

Text Transcription:

y bar

ANSWER:

Answer:    

Step 1 of 4:

           Given a random sample of 100 foxes was examined by a team of veterinarians to determine the prevalence of a specific parasite. The results are listed in the given table.

         

Number of Parasites

0

1

2

3

4

5

6

7

8

Number of Foxes

69

17

6

3

1

2

1

0

1


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