The median is always:

The middle score when results are ranked in order of magnitude

The most frequently occurring score in a data set

The difference between the maximum and minimum scores.

A teacher gave a statistics test to a class of Geography students and computed the measures of central tendency for the test scores. Which of the following statements cannot be an accurate description of the scores?

The majority of students had scores above the median.

The majority of students had scores above the mean.

The majority of students had scores above the mode.

All of the above options (A, B and C) are false statements.

Which of the following statements is the most accurate description for the concept of standard deviation?

The average distance between a score and the mean.

The total distance from the smallest score to the highest score.

The square root of the total distance from the smallest score to the highest score.

The squared average distance between all scores and the mean.

If all possible samples of size n=30 are selected from a population with μ=80 and σ=10 and the mean is computed for each sample, then what shape is expected for the distribution of sample means?

The sample means tend to form a normal-shaped distribution whether the population is normal or not.

The sample means tend to form a normal-shaped distribution only if the population distribution is normal.

The sample size of n=30 is too small to predict the shape of the distribution.

The mean of each sample will be very close to 80, hence the distribution of means will have little variability.

What is a definition of the standard error?

Standard deviation of sample means.

Standard deviation of the sample.

Standard deviation of the population mean.

If a researcher sets a level of significance at .05 (i.e. 5%), what does this mean?

Five times out of 100, a significant result will be found that is due to chance alone and not to true relationship.

Ninety-five times out of 100, a significant result will be found that is due to chance alone and not to true relationship.

Five times out of 100, a significant result will be found that is not due to chance, but to true relationship.

When does a researcher risk a Type I error?

Anytime the decision is ‘fail to reject’.

Which of the following assumptions are required if an independent t-test is to be used?

All the above assumptions (A, B and C) are required.

Samples are drawn from a normally distributed population.

Homogeneity of variances (equal variances).

The data are either interval or ratio scales.

How does the shape of the t distribution compare to the normal distribution?

The t distribution is flatter and more spread out, especially when n is small.

The t distribution is taller and less spread out, especially when n is large.

The t distribution is taller and less spread out, especially when n is small.

The t distribution is flatter and more spread out, especially when n is large.

A research report summarizes the results of a t-test by stating: t(35)=5.2, p

The H0 was rejected and the probability of a Type I error is less than .05.

The H0 was not rejected and the probability of a Type I error is less than .05.

The H0 was not rejected and the probability of a Type II error is less than .05.

The H0 was rejected and the probability of a Type II error is less than .05.

Which of the following is true about a 95% confidence interval of the mean of a given sample:

There is a 95% chance that the population mean will fall within the limits of the confidence interval.

95 out of 100 sample means will fall within the limits of the confidence interval.

95 out of 100 population means will fall within the limits of the confidence interval.

There is a .05 probability that the population mean falls within the limits of the confidence interval.

What effect would increasing the sample size have on a confidence interval?

The confidence interval would decrease in size.

The confidence interval would increase in size.

The confidence interval is unaffected by sample size.

The confidence interval could either increase or decrease in size.

In an independent t-test output of SPSS, the Levene’s test result is p = .006. What can we infer from this number?

The variances of both groups are assumed to be equal.

The means of both groups are assumed to be unequal.

The means of both groups are assumed to be equal.

The variances of both groups are assumed to be unequal.

What does ANOVA stand for?

Analysis of values and averages.

Analysis of non ordinal values.

What kind of variables would you crosstabulate?

One continuous and two or more categorical.

One categorical and two or more continuous.

What does the statistic Cramer’s V indicate?

The strength of association between two categorical variables.

The significance of the Chi-square test.

The expected frequencies in a contingency table.

The amount of common variability of two numeric variables.

What is the null hypothesis for a Chi-square test?

Both variables are independent.

Both variables have a significant relationship.

Both variables have equal means.

A Pearson correlation of r=-0.6 indicates

An increase in X is accompanied by a decrease in Y; the relationship is moderate.

An increase in X is accompanied by an increase in Y; the relationship is strong.

An increase in X is accompanied by an increase in Y; the relationship is moderate.

An increase in X is accompanied by a decrease in Y; the relationship is strong.

Scores on one variable plotted against scores on a second variable.

The frequency with which values appear in the data.

The average value of groups of data.

The proportion of data falling into different categories.

R 2 is the notation for:

The coefficient of determination.

The coefficient of correlation.

In a linear regression equation, Y=a + bX, what does the b denote?

The regression coefficient, the slope of the line.

The correlation coefficient, the strength of the line

In a linear regression equation, what does a slope of 2.5 indicate?

For every increase of 1.00 on the x-axis, there is an increase of 2.5 on the y-axis.

For every increase of 2.5 on the y-axis, there is an increase of 5.0 on the x-axis.

For every increase of 2.5 on the x-axis, there is an equivalent increase on the y-axis.

For every increase of 1.00 on the y-axis, there is an decrease of 2.5 on the x-axis.

Which of the following statements about the t-statistic in regression analysis is not true?

The t-statistic is equal to the regression coefficient divided by its standard deviation.

The t-statistic tests whether the regression coefficient, b, is equal to 0.

The t-statistic provides some idea of how well a predictor predicts the outcome variable.

The t-statistic can be used to see whether a predictor variable makes a statistically significant contribution to the regression model.

Basic Statistics Self Test

Authored by Joyce Dublin

Mathematics

University

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50 questions

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MULTIPLE CHOICE QUESTION

30 sec • 1 pt

A researcher is interested in the travel time of CTU students to college. A group of 50 students is interviewed. Their mean travel time is 16.7 minutes. For this study the mean of 16.7 minutes is an example of a:

Parameter

Statistic

Population

Sample

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

A researcher is curious about the IQ of students at CTU. The entire group students is an example of a:

Parameter

Statistic

Population

Sample

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Statistical techniques that summarize and organize the data are classified as:

Population statistics

Sample statistics

Descriptive statistics

Inferential statistics

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

A sports psychologist was interested in the effects of a six-week imagery intervention on an athlete’s ability to execute a sport-specific skills such penalty taking in football. How might you define the imagery variable?

Independent variable

Dependent variable

Outcome variable

Resultant variable

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Five-point Likert scales (strongly disagree, disagree, neutral, agree, strongly agree) are frequently used to measure motivations and attitudes. A Likert scale is a:

Discrete variable.

Ordinal variable.

Categorical variable.

All of the above options (A, B and C)

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

In a 500m speed skating race, time results would be considered an example of which level of measurement?

Nominal

Ordinal

Interval

Ratio

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

IQ tests are standardized so that the mean score is 100 for the entire group of people who take the test. However, if you select a group of 50 who took the test, you probably would not get 100. What statistical concept explains the difference between the two means?

Statistical error

Inferential error

Residual error

Sampling error

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Basic Statistics Self Test

A researcher is interested in the travel time of CTU students to college. A group of 50 students is interviewed. Their mean travel time is 16.7 minutes. For this study the mean of 16.7 minutes is an example of a:

A researcher is curious about the IQ of students at CTU. The entire group students is an example of a:

Statistical techniques that summarize and organize the data are classified as:

A sports psychologist was interested in the effects of a six-week imagery intervention on an athlete’s ability to execute a sport-specific skills such penalty taking in football. How might you define the imagery variable?

Five-point Likert scales (strongly disagree, disagree, neutral, agree, strongly agree) are frequently used to measure motivations and attitudes. A Likert scale is a:

In a 500m speed skating race, time results would be considered an example of which level of measurement?

IQ tests are standardized so that the mean score is 100 for the entire group of people who take the test. However, if you select a group of 50 who took the test, you probably would not get 100. What statistical concept explains the difference between the two means?

A researcher studies the factors that determine the number of children future couples decide to have. The variable ‘number of children’ is a(n):

A teacher asks students to identity their favorite reality television show. What type of measurement scale do the different television shows make up?

The median is always:

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