Question 1

You have just read that chickens have a relatively low level of body fat. The population mean percentage of fat in a chicken is reported to be 32% with the standard deviation of 8.7%. How likely is it that you could randomly select a sample of 12 chickens from the population that would have a mean of 26% body fat or less?

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Question 2

From a population of 4 different scores (e.g. 3, 5, 7, 9) how many samples of size N = 2 are possible sampling one at a time with replacement? (Solve by enumeration.)

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Question 3

What is the value of for the following values of ?

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Question 4

Using a = 0.01 2 tail , test the hypothesis that the following sample could have been drawn from a population with µ = 27.2 and s = 2.1. 
 X : 25.2, 29.9, 24.8, 26.0, 22.1

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Question 5

In problem 27, if you were testing the hypothesis that the sample mean (108) was drawn from the Null Hypothesis Population with µ = 100 and s = 15, what would you conclude using a = 0.05 1 tail ?

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Question 6

What is the critical value for z for each of the following alpha levels?

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Question 7

The average life of a light bulb is 862 hours with a standard deviation of 51 hours. A new manufacturing process results in a sample of 24 bulbs with a mean life of 899 hours until burn out.

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Question 8

Write the number of the symbol shown in Column 1 in the space provided to the left of the term in Column 2 that it represents.

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Question 9

Is it always the case for both directional and nondirectional H ₁s that if z _obt ?5= z _crit, the correct conclusion is to reject H ₀? Explain.

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Question 10

The average weight of a species of laboratory rats at birth is 27.6 grams with a standard deviation of 3.4 grams. You wish to test the hypothesis that a different maternal feeding cycle but the same quantity and quality will affect birth-weight. A sample of 10 female rats given the new feeding schedule gave birth to 56 baby rat pups with an average weight of 25.9 grams.

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Question 11

List all the possible values of  for samples of size N = 2 taken from the population of scores 0, 1, 2 (with replacement).

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Question 12

For the means of size N = 2 in problem 24, what is the value for:

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Question 13

Assume the following values of s have been obtained for different Null Hypothesis Populations. Calculate the value of the standard error of the mean for samples of size N taken from the respective populations.

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Question 14

A computer memory manufacturer specifies that its memory chip stores data incorrectly an average of 6.3 out of 10 million cycles with a standard deviation of 0.48. A batch of 30 chips your company ordered stores data incorrectly an average of 6.9 times per 10 million cycles.

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Question 15

In a population with = 100 and s = 15, what is the probability if we randomly drew a sample of N = 9 we would get a value of  108?

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Quiz 12: Sampling Distributions, Sampling Distribution of the Mean: the Normal Deviate Z Test