Rattlesnakes* 3.3.6 Here is a dotplot for the ages of 21 male rattlesnakes captu

Question

Rattlesnakes* 3.3.6 Here is a dotplot for the ages of 21 male rattlesnakes captured at a single site. Assume that these 21 snakes can be regarded as a random sample of all male rattlesnakes at that site. The average age is 8.571 years, with a standard deviation of 2.942 years. An approximate 95% confidence interval is calculated to be (7.2318, 9.9102) (n 21) 15 0 3 12 Rattlesnake ages a. What is the observational unit for this data set? What is the population? What is the sample? b. Which, if any, of the validity conditions for using a theory-based interval are satisfied? Explain your answer c. What is the parameter being estimated by the interval? d. True or false? The chance that the interval contains the parameter value is about 95%. Explain your answer.

Explanation / Answer

a)

Obsevational unit: Age of male rattlesnake

The population: All male rattlesnakes

The sample: 21 captured rattle malesnakes

b)

The sample is random sample. And dot plot shows approximately symmetric distribution. Although it is skewed to left but we can assume it pproximately normal.

c)

The parameter is: True mean age of rattlesnake

d)

Yes confidence interval shows that we are 95% confident that true mean age of male rattlesnakes lie in the given interval.

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