Salmon Weights (Raw Data, Software Required): Assume that the weights of spawnin

Question

Salmon Weights (Raw Data, Software Required):
Assume that the weights of spawning Chinook salmon in the Columbia river are normally distributed. You randomly catch and weigh 15 such salmon. The data is found in the table below. You want to construct a 90% confidence interval for the mean weight of all spawning Chinook salmon in the Columbia River. You will need software to answer these questions. You should be able to copy the data directly from the table into your software program.

(a) What is the point estimate for the mean weight of all spawning Chinook salmon in the Columbia River?

Explanation / Answer

Use SAS Software.

You can get the data into SAS using data step.

We call the resultant as SAS dataset.

Here is the program

Data weights;

Input salmon weight;

Datalines;

1 25.2

2 24.3

3 35.5

4 26.1

5 18.4

6 22.0

7 32.7

8 35.3

9 23.0

10 26.3

11 32.0

12 27.2

13 28.3

14 27.8

15 31.0

;

run;

By running the above program.a dataset will be generated with weights;

The following statements produce confidence limits for the mean,standard deviation and variance of the population of weights.

Proc univariate data=weights cibasic(alpha=0.1);

Var weight;

Run;

Output for the above program is

Basic confidence limits assuming normality

Parameter estimate 90% confidence limits

Mean 27.0067 24.98093 29.03241

Std Deviation 4.45445 3.42470 6.50211

Variance 19.84210 11.72860 42.27742

Now answer to the question is:

90% coonfidence interval for the mean is

24.98093 and 29.03241

(A)point estimate is

Mean :27.00667

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