Question 1

= , regardless of the shape of the sampling distribution of the mean.

Accepted Answer

A) True 
 B)False

Question 2

The sampling distribution of the mean varies with the size of the sample.

Accepted Answer

A) True 
 B)False

Question 3

The mean attention span for adults in a certain village is 15 minutes with a standard deviation of 6.4. What is the probability of randomly selecting a sample of 30 scores from this population that has a mean attention span equal to or greater than 17 minutes?

Accepted Answer

A)  0.3783 
B)  0.0436 
C)  0.0446 
D)  0.4564

Question 4

If a = 0.05 2 tail, the critical value of z is ±1.96.

Accepted Answer

A) True 
 B)False

Question 5

In cases where N > 1, the relationship between the raw score population standard deviation and the standard error is _________.

Accepted Answer

A)  the standard error is greater than the standard deviation 
B)  the standard error is less than the standard deviation 
C)  the standard error equals the standard deviation 
D)  the standard error is the standard deviation

Question 6

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

Accepted Answer

The answer of Using a = 0.01 2 tail ,...

Question 7

If H0 is false, but power is low, there is a high probability we will err in our conclusion.

Accepted Answer

A) True 
 B)False

Question 8

The power of the z test increases with sample variability.

Accepted Answer

A) True 
 B)False

Question 9

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

Accepted Answer

The answer of For the means of size N =...

Question 10

For the population 2, 4, 6, 8, 10,  .

Accepted Answer

A) True 
 B)False

Question 11

What are the characteristics of the sampling distribution of the mean?

Accepted Answer

The answer of What are the characteristics of the sampling...

Question 12

a + b = 1.00.

Accepted Answer

A) True 
 B)False

Question 13

What would one conclude about the null hypothesis that a sample of N = 46 with a mean of  = 104 could reasonably have been drawn from a population with the parameters of = 100 and s = 8? Use a = 0.05 2 tail .

Accepted Answer

A)  accept H0 
B)  reject H1 
C)  reject H0 
D)  retain H0

Question 14

Which of the following apply to the sampling distribution of the mean?

Accepted Answer

A)   = µ 
B)   =  
C)  the variability of the distribution depends on N 
D)  the shape of the distribution is always normal 
E)   = ,  =  and the variability of the distribution depends on N

Question 15

Explain why  should vary directly with s and inversely with N .

Accepted Answer

The answer of Explain why  should vary directly with...

Question 16

Data analysis involving statistical inference basically involves _________.

Accepted Answer

A)  determining the standard deviation of the scores 
B)  calculating the appropriate statistic 
C)  evaluating the statistic based on its sampling distribution 
D)  calculating the appropriate statistic and evaluating the statistic based on its sampling distribution

Question 17

A set of sample scores from an experiment has an N = 28 and a mean = 52. H 1 is directional, predicting an effect of the independent variable which decreases the magnitude of the dependent variable. H 0 asserts the sample is a random sample from a population of scores where µ = 55 and s = 12. a = 0.051 tail. Using the z test to analyze the data, the power of the experiment to detect a real effect such that µ real = 53 is _________.

Accepted Answer

A)  0.3541 
B)  0.7764 
C)  0.7600 
D)  0.2236

Question 18

Which of the following are true?

Accepted Answer

A)   is the mean of the sampling distribution of the mean 
B)   is the standard deviation of the raw scores 
C)  both of these 
D)  none of these

Question 19

If the population standard deviation is 19.0 and the sample size is 19, then the standard error equals _________.

Accepted Answer

A)  19.00 
B)  1.00 
C)  4.36 
D)  cannot be determined; need to know population mean

Question 20

In general, if N ≥ 30, the sampling distribution of the mean will be normally shaped.

Accepted Answer

A) True 
 B)False

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

= , regardless of the shape of the sampling distribution of the mean.

The sampling distribution of the mean varies with the size of the sample.

The mean attention span for adults in a certain village is 15 minutes with a standard deviation of 6.4. What is the probability of randomly selecting a sample of 30 scores from this population that has a mean attention span equal to or greater than 17 minutes?

If a = 0.05 2 tail, the critical value of z is ±1.96.

In cases where N > 1, the relationship between the raw score population standard deviation and the standard error is _________.

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

If H₀ is false, but power is low, there is a high probability we will err in our conclusion.

The power of the z test increases with sample variability.

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

For the population 2, 4, 6, 8, 10, .

What are the characteristics of the sampling distribution of the mean?

a + b = 1.00.

What would one conclude about the null hypothesis that a sample of N = 46 with a mean of = 104 could reasonably have been drawn from a population with the parameters of = 100 and s = 8? Use a = 0.05 2 tail .

Which of the following apply to the sampling distribution of the mean?

Explain why should vary directly with s and inversely with N .

Data analysis involving statistical inference basically involves _________.

Which of the following are true?

If the population standard deviation is 19.0 and the sample size is 19, then the standard error equals _________.

In general, if N ≥ 30, the sampling distribution of the mean will be normally shaped.