Deck 10: Only the Lonely: The One Sample Z-Test

Question 1

The numerator of the equation for the z value is ______.

A)the population average subtracted from the mean of the sample
B)the mean of the sample subtracted from the population average
C)the mean of the sample subtracted from the standard error of the mean
D)the standard error of the mean added to the mean of the sample

Answer 1

A

Question 2

If your sample mean is 20, your population average is 10, and your standard error of the mean is 2, what is your observed z value?

A)−5
B)5
C)0
D)50

Answer 2

B

Question 3

The null hypothesis in a one-sample Z-test would be represented as follows:

A) $$H _ { 0 } : \bar { X } = \mu$$
B) $$H _ { 1 } : \bar { X } = \mu$$
C) $$H _ { 0 } : \bar { X } > \mu$$
D) $$H _ { 0 } : \bar { X } < \mu$$

Answer 3

$$H _ { 0 } : \bar { X } = \mu$$

Question 4

After conducting a one-sample Z-test, you arrived at a value of 0.2 for the z value.What is your conclusion?

A)reject the null hypothesis
B)accept the null hypothesis
C)the result is too close to call
D)None of these

Question 5

An alternative hypothesis in a one-sample Z-test could be represented as follows:

A) $$H _ { 1 } : \bar { X } > \mu$$
B) $$H _ { 0 } : \bar { X } > \mu$$
C) $$H _ { 0 } : \bar { X } = \mu$$
D) $$H _ { 0 } : \bar { X } < \mu$$

Question 6

After conducting a one-sample Z-test, you arrived at a value of −12.5 for the z value.What is your conclusion?

A)reject the null hypothesis
B)accept the null hypothesis
C)the result is too close to call
D)none of these

Question 7

If our sample selection was perfect, what would be the difference between the sample and population averages?

A)zero
B)one
C)one or greater
D)less than one

Question 8

The one-sample Z-test is used to compare the _______ to the _______.

A)mean of a sample, mean of a population
B)mean of a population, mean of a sample
C)mean of a sample, mean of a second sample
D)mean of a population, mean of a second population

Question 9

The _______ is the standard deviation of all possible means selected from the population.

A)standard error of the mean
B)standard error of the median
C)standard error of the population
D)standard error of the sample

Question 10

How many groups are compared in a one-sample Z-test?

A)2 or more
B)1
C)3
D)4

Question 11

The standard error of the mean is calculated as ______.

A)the population standard deviation divided by the square root of the size of the sample
B)the population standard deviation divided by the size of the sample
C)the square root of the size of the sample divided by the population standard deviation
D)the sample standard deviation divided by the size of the sample

Question 12

The level of risk associated with the null hypothesis is generally set at _______.

A).05
B).10
C).001
D).20

Question 13

Calculating the one-sample Z-test serves to give you _______.

A)the critical value
B)the obtained value
C)the level of significance
D)power

Question 14

The denominator in the equation for the z value is equal to ______.

A)the population average subtracted from the mean of the sample
B)the mean of the sample subtracted from the population average
C)the standard error of the mean subtracted from the population average
D)the standard error of the mean

Question 15

After conducting a one-sample Z-test, you arrived at a value of 5.7 for the z value.What is your conclusion?

A)reject the null hypothesis
B)accept the null hypothesis
C)the result is too close to call
D)one of these

Question 16

If the obtained value is not higher than the critical value, we ______.

A)reject the null hypothesis
B)accept the null hypothesis
C)accept all hypotheses
D)reject all hypotheses

Question 17

The_______ is used as the denominator in the equation for the z value in a one-sample Z-test.

A)standard error of the median
B)standard error of the population
C)standard error of the mean
D)standard error of the sample

Question 18

The standard error of the mean is the best estimate that we can come up with given that it is impossible to compute ______.

A)all of the possible means
B)all of the possible standard deviations
C)all of the possible variances
D)all of the possible medians

Question 19

If the obtained value is higher than the critical value, we ______.

A)reject the null hypothesis
B)accept the null hypothesis
C)reject the research hypothesis
D)cannot determine what to do

Question 20

After the z value is calculated, the _______ is gathered from a table of z scores.

A)obtained value
B)test value
C)calculated value
D)critical value

Question 21

If you have a sample size of 16 and a population standard deviation of 40, what is your standard error of the mean?

A)−10
B)10
C)5
D)−5

Question 22

If you have a sample size of 4 and a population standard deviation of 12, what is your standard error of the mean?

A)−3
B)11
C)6
D)5

Question 23

In the formula for calculating a z score, what does SEM stand for?

A)standard error of the medium
B)standard ease of the mean
C)standard error of the mean
D)standard ease of the medium

Question 24

If your sample mean is 100, your population average is 90, and your standard error of the mean is 10, what is your observed z value?

A)0
B)−.1
C)1
D)−1

Question 25

If you have a population standard deviation of 10 and a sample size of 4, what is your standard error of the mean?

A)−5
B)14
C)6
D)5

Question 26

In z = 2.56, p < .05, what is the obtained value?

A).05
B)< .05
C)2.56
D)2.56 ÷ .05

Question 27

In the formula for calculating a z score, what does μ stand for?

A)the obtained value
B)the critical value
C)the population average
D)the sample average

Question 28

If you have a population standard deviation of 18 and a sample size of 9, what is your standard error of the mean?

A)−3
B)11
C)6
D)5

Question 29

In the statement, z = 1.42, p > .05, which of the following interpretations is true?

A)There is a significant difference between the sample value and the population.
B)There is a marginally significant difference between the sample value and the population.
C)There is not a significant difference between the sample value and the population.
D)The answer cannot be determined from the information given.

Question 30

In z = 2.56, p < .05, what is the probability?

A)p < .05
B)2.56
C)z = 2.56
D)There is no probability here.

Question 31

In the statement z = 3.14, p < .05, which of the following interpretations is true?

A)There is a significant difference between the sample value and the population.
B)There is a marginally significant difference between the sample value and the population.
C)There is not a significant difference between the sample value and the population.
D)The answer cannot be determined from the information given.

Question 32

The level of risk-or level of significance-is determined by the _______.

A)participants
B)researchers
C)study sponsors
D)results

Question 33

If your sample mean is 30, your population average is 10, and your standard error of the mean is 5, what is your observed z value?

A)6
B)−2.5
C)4
D)20

Question 34

If your sample mean is 25, your population average is 20, and your standard error of the mean is 8, what is your observed z value?

A)1.5
B)3
C)−5
D)0.63

Question 35

If your sample mean is 10, your population average is 15, and your standard error of the mean is 10, what is your observed z value?

A)2.5
B)−0.5
C)−2
D)2

Question 36

If your sample mean is 25, your population average is 5, and your standard error of the mean is 10, what is your observed z value?

A)5
B)2.5
C)−2
D)2

Question 37

In the formula for calculating standard error of the mean, what does n stand for?

A)the population average
B)the sample size
C)the population size
D)the sample average

Question 38

In the formula for calculating a z score, what does σ stand for?

A)standard error of the mean
B)the z value
C)the sample standard deviation
D)the population standard deviation

Question 39

If your population average is 45, your sample mean is 50, and your standard error of the mean is 5, what is your observed z value?

A)0
B)−.1
C)1
D)−1

Question 40

If you have a population standard deviation of 20 and a sample size of 4, what is your standard error of the mean?

A)−10
B)10
C)5
D)−5

Question 41

If you have a population standard deviation of 9 and a sample size of 81, what is your standard error of the mean?

A)−3
B)2
C)1
D)9

Question 42

If you have a population standard deviation of 18 and a sample size of 36, what is your standard error of the mean?

A)−3
B)7
C)10
D)3

Question 43

For the t-test, the population's standard deviation is ______.

A)not known
B)known
C)not relevant
D)not sure

Question 44

A one-sample Z-test can be used to compare the mean of two samples.

Question 45

If you have a population standard deviation of 2 and a sample size of 9, what is your standard error of the mean?

A)0.76
B)−0.67
C)0.67
D)−0.76

Question 46

For the Z-test, the population's standard deviation is ______.

A)not known
B)known
C)not relevant
D)not sure

Question 47

In interpreting effect size, what is the meaning of effect size at 0.2?

A)small effect size
B)medium effect size
C)large effect size
D)weak effect size

Question 48

In the effect size formula, what does σ stand for?

A)the sample mean
B)effect size
C)the population mean
D)the population standard deviation

Question 49

If you have a population standard deviation of 18 and a sample size of 81, what is your standard error of the mean?

A)−3
B)2
C)1
D)9

Question 50

In interpreting effect size, what is the meaning of effect size at 0.4?

A)small effect size
B)medium effect size
C)large effect size
D)weak effect size

Question 51

SPSS does not offer a ______.

A)one-sample t-test
B)one-sample Z-test
C)one-sample F-test
D)one-sample Chi-square test

Question 52

If your sample mean is 11, your population average is 17, and your standard error of the mean is 3, what is your observed z value?

A)14
B)8
C)−2
D)2.2

Question 53

In the effect size formula, what does d stand for?

A)the sample mean
B)effect size
C)the population mean
D)the population standard deviation

Question 54

In t-test, if the resultant t value is 2.72 and p<.05, what is the interpretation?

A)There is a statistical significance in the test.
B)There is no statistical significance in the test.
C)unknown
D)not sure

Question 55

If you have a population standard deviation of 9 and a sample size of 144, what is your standard error of the mean?

A)7.5
B)0.75
C)12
D)8

Question 56

In t-test, if the resultant t value is -2.72 and p<.05, what is the interpretation?

A)There is a statistical significance in the test.
B)There is no statistical significance in the test.
C)unknown
D)not sure

Question 57

If you have a population standard deviation of 7 and a sample size of 100, what is your standard error of the mean?

A)−3
B)7
C)10
D)0.7

Question 58

In the effect size formula, what does X bar stand for?

A)the sample mean
B)effect size
C)the population mean
D)the population standard deviation

Question 59

If your sample mean is 12, your population average is 19, and your standard error of the mean is 4, what is your observed z value?

A)−1.75
B)5
C)4
D)6

Question 60

In interpreting effect size, what is the meaning of effect size at 0.3?

A)small effect size
B)medium effect size
C)large effect size
D)weak effect size

Question 61

SPSS does not offer a one-sample t-test.

Question 62

Sample size is taken into account when computing effect size.

Question 63

What are the guidelines in using effect size?

Question 64

Dr.Meow teaches Engineering Science 101 and is interested in finding out whether her students perform better on math tests compared to all of the engineering students in the university.State this as a null hypothesis.

Question 65

SPSS does not offer a one-sample Z-test.

Question 66

Write out, in words, a research hypothesis for this statement: The Geography Department is interested in finding out if the average GPA of this year's graduating seniors is comparable to the average GPA of graduating seniors over the last 40 years.

Question 67

Write the formula of the null hypothesis for the following research problem: The Geography Department is interested in finding out if the average GPA of this year's graduating seniors is comparable to the average GPA of graduating seniors over the last 40 years.

Question 68

According to your text, there are eight steps that you should follow in order to compute and interpret a Z-test statistic manually.

Question 69

If you're comparing the test scores between two classrooms, you should use a one-sample Z-test.

Question 70

Mr.Moo would like to find out if his daisies grow at a faster average rate than the average rate of daisy growth in his neighborhood.State this as a null hypothesis.

Question 71

According to your text, there are five steps that you should follow in order to compute and interpret a Z-test statistic manually.

Question 72

The results of both one-sample Z- and t-test are basically the same.

Question 73

Dr.Meow teaches Engineering Science 101 and is interested in finding out whether her students perform better on math tests compared to all of the engineering students in the university.State this as a research hypothesis.

Question 74

What is an example in which a one-sample Z test would be appropriate?

Question 75

A large effect size is any value above .5.

Question 76

Write the formula of a directional or nondirectional research hypothesis for the following research problem: The Geography Department is interested in finding out if the average GPA of this year's graduating seniors is comparable to the average GPA of graduating seniors over the last 40 years.

Question 77

Effect size is a measure of how different two groups are from one another.

Question 78

What is effect size?

Question 79

Mr.Moo would like to find out if his daisies grow at a faster average rate than the average rate of daisy growth in his neighborhood.State this as a research hypothesis.