6-4 Homework Assignment Let\'s start with an easy one. This will follow almost d

Question

6-4 Homework Assignment Let's start with an easy one. This will follow almost directly from your notes. The Texas Rangers have 5 starting pitchers. They are 33, 26, 31,34 and 29 years old. a. b. c. d. e. 1. Find the population mean of starting pitcher age List all samples of size n=2 Calculate all sample means Find the mean of the sample distribution Is “mean" an unbiased estimator? Check for Understanding: Did you circle 5 vocabulary words in your work above? Population, Parameter, Samples, Statis

Explanation / Answer

Ans:

a)population mean=(33+26+31+34+29)/5=153/5=30.6

b)Samples of size 2

(33,26),(26,31),(31,34),(34,29),(29,33)

c)Samples means are 29.5,28.5,32.5,31.5,31

d)Mean of the samples means=(29.5+28.5+32.5+31.5+31)/5=153/5=30.6

e)population mean and mean of samples mean are equal.

Sampling distribution of sample means have mean equal to the population mean.

So,mean is an unbiased estimator.

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