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Category > Computer Science Posted 19 Sep 2017 My Price 7.00

independent random samples

Botany: Iris The following data represent petal lengths (in cm) for independent random samples of two species of iris

Petal length (in cm) of Iris virginica: x1; n1= 35

5.1

5.8

6.3

6.1

5.1

5.5

5.3

5.5

6.9

5

4.9

6

4.8

6.1

5.6

5.1

5.6

4.8

5.4

5.1

5.1

5.9

5.2

5.7

5.4

4.5

6.1

5.3

5.5

6.7

5.7

4.9

4.8

5.8

5.1

                          

 

Petal length (in cm) of Iris setosa: x2 ;n2= 38

1.5

1.7

1.4

1.5

1.5

1.6

1.4

1.1

1.2

1.4

1.7

1.0

1.7

1.9

1.6

1.4

1.5

1.4

1.2

1.3

1.5

1.3

1.6

1.9

1.4

1.6

1.5

1.4

1.6

1.2

1.9

1.5

1.6

1.4

1.3

1.7

1.5

1.7

 

 

 

 

 

 

 

 

 

 

(a) Use a calculator with mean and standard deviation keys to verify that  width= and s2≈ 0.21.

(b) Let μ1be the population mean for x1and let μ2be the population mean forx2. Find a 99% confidence interval for μ1- μ2.

(c) Interpretation Explain what the confidence interval means in the context of this problem. Does the interval consist of numbers that are all positive? All negative? of different signs? At the 99% level of confidence, is the population mean petal length of Iris virginica longer than that of Iris setosa?

(d) Check Requirements Which distribution (standard normal or Student’s t) did you use? Why? Do you need information about the petal length distributions? Explain.

Answers

Maurice Tutor
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Status NEW Posted 19 Sep 2017 09:09 AM My Price 7.00

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