Psychology 138 Exam 2 Study Guide

The exam will follow the same format as the first exam. Here are examples of questions similar to those that will be in the closed-notes portion of the exam. Answers are at the bottom of the page.

What is the Gambler's Fallacy?

What is the distinction between descriptive and inferential statistics?

Define the distribution of sample means.

Under what conditions will the distribution of sample means be normal?

If a population has a mean of μ = 12, what will the mean of the distribution of sample means be?

Which is bigger, the standard deviation of a population or the standard deviation of the distribution of sample means drawn from that population (assuming that n > 1)?

What is another name for the standard deviation of the distribution of sample means?

What does the Central Limit Theorem tell us?

A hypothesis test is a test of the
a) null hypothesis (H0)
b) alternative hypothesis (H1)

Define the alternative hypothesis?

Suppose that a researcher wishes to know if watching soap operas regularly makes underage girls more likely to become romantically involved with older men. When teenage girls have boyfriends, their boyfriends are on average μ =  0.7 years older than they are.  What is the null hypothesis that will be tested?

Suppose that a researcher believes that being angry alters people's reaction time. Typically, people can respond to auditory stimuli within μ = 180ms. What is the null hypothesis that will be tested?

The null hypothesis is false and you rejected it. You’ve made a…
a) Correct decision
b) Type I Error
c) Type II Error

Your research led you to report that Skippy Peanut Butter causes AIDS. In reality, it doesn’t. You’ve made a…
a) Correct decision
b) Type I Error
c) Type II Error

You hypothesized that a certain variable has an effect. In truth, it really does have an effect. You retained the null hypothesis. You’ve made a…
a) Correct decision
b) Type I Error
c) Type II Error

The null hypothesis is false. You retained it. You’ve made a…
a) Correct decision
b) Type I Error
c) Type II Error

The null hypothesis is true. You retained it. You’ve made a…
a) Correct decision
b) Type I Error
c) Type II Error

The null hypothesis is true. You rejected it. You’ve made a…
a) Correct decision
b) Type I Error
c) Type II Error

You report that there is no evidence that testosterone levels increase aggression. Did you retain the null hypothesis?
a) Yes
b) No

If α is high, am I more likely to make a Type I error?
a) Yes
b) No

If the null hypothesis is true, is it possible to make a Type II error?
a) Yes
b) No

If α is high, am I less likely to make a Type II error?
a) Yes
b) No

In statistics, β is the probability of..

The symbol for the probability of making a Type I error when the null hypothesis is true is...

The probability of correctly rejecting a null hypothesis that is false is called...

Increasing sample size will...
a) increase power.
b) decrease power.

Increasing α will...
a) increase power.
b) decrease power.

Provided that you correctly specify the direction of an effect, a 1-tailed hypothesis is more powerful than a 2-tailed hypothesis.
a) True
b) False

Which kind of estimate is more likely to be correct?
a) Point estimate
b) Interval estimate

Define confidence interval

Define margin of error

Conceptually, what does Cohen's d measure?




Answers


What is the Gambler's Fallacy?

It is the incorrect belief that in a sequence of independent random events (e.g., coin tosses), the probability of 1 event is changed by the outcomes of the preceding events. More information

What is the distinction between descriptive and inferential statistics?

Descriptive statistics summarize tendencies and characteristics of data. Inferential statistics use sample statistics to make inferences about the populations from which the samples were drawn. Inferential statistics are used for hypothesis testing. More information

Define the distribution of sample means.

The distribution of sample means is the collection of sample means for all the possible random samples of a particular size (n) that can be obtained from a population. More information

Under what conditions will the distribution of sample means be normal?
1. If the original population is normal.
or
2. If the sample size n > 30

If a population has a mean of μ = 12, what will the mean of the distribution of sample means be?
12

Which is bigger, the standard deviation of a population or the standard deviation of the distribution of sample means drawn from that population (assuming that n > 1)?
The standard deviation of the population.

What is another name for the standard deviation of the distribution of sample means?
The standard error of the mean

What does the Central Limit Theorem tell us?
For any population with mean μ and standard deviation σ, the distribution of sample means for sample size n will approach a normal distribution with a mean of μ and a standard deviation of σ / sqrt(n) as n approaches infinity.

A hypothesis test is a test of the
a) null hypothesis (H0)
b) alternative hypothesis (H1)


What is the alternative hypothesis?
The hypothesis the researcher believes to be true. More information

Suppose that a researcher wishes to know if watching soap operas regularly makes underage girls more likely to become romantically involved with older men. When teenage girls have boyfriends, their boyfriends are on average μ =  0.7 years older than they are.  What is the null hypothesis that will be tested?
Watching soap operas has no effect on teenage girls' choice of boyfriends. Specifically, teenage girls who watch soap operas regularly will have boyfriends with an average age of μ <= 0.7 years older than they are.

Suppose that a researcher believes that being angry alters people's reaction time. Typically, people can respond to auditory stimuli within μ = 180ms. What is the null hypothesis that will be tested?
Anger has no effect on reaction time. Specifically, reaction time while in a state of anger is μ = 180, the same as when not in a state of anger.

The null hypothesis is false and you rejected it. You’ve made a…
a) Correct decision
b) Type I Error
c) Type II Error

Your research led you to report that Skippy Peanut Butter causes AIDS. In reality, it doesn’t. You’ve made a…
a) Correct decision
b) Type I Error
c) Type II Error

You hypothesized that a certain variable has an effect. In truth, it really does have an effect. You retained the null hypothesis. You’ve made a…
a) Correct decision
b) Type I Error
c) Type II Error

The null hypothesis is false. You retained it. You’ve made a…
a) Correct decision
b) Type I Error
c) Type II Error

The null hypothesis is true. You retained it. You’ve made a…
a) Correct decision
b) Type I Error
c) Type II Error

The null hypothesis is true. You rejected it. You’ve made a…
a) Correct decision
b) Type I Error
c) Type II Error

You report that there is no evidence that testosterone levels increase aggression. Did you retain the null hypothesis?
a) Yes
b) No

If α is high, am I more likely to make a Type I error?
a) Yes
b) No

If the null hypothesis is true, is it possible to make a Type II error?
a) Yes
b) No

If α is high, am I less likely to make a Type II error?
a) Yes
b) No

In statistics, β is the probability of..
making a Type II error when the null hypothesis is false. Note: Both parts of this answer must be present for full credit (i.e., probability of Type II error AND the fact that it refers only to the situation in which the null hypothesis is false.).

The symbol for the probability of making a Type I error when the null hypothesis is true is...
α

The probability of correctly rejecting a null hypothesis that is false is called...
Statistical power (Note: just "power" is also acceptable)

Increasing sample size will...
a) increase power.
b) decrease power.

Increasing α will...
a) increase power.
b) decrease power.

Provided that you correctly specify the direction of an effect, a 1-tailed hypothesis is more powerful than a 2-tailed hypothesis.
a) True
b) False

Which kind of estimate is more likely to be correct?
a) Point estimate
b) Interval estimate

Define confidence interval
An interval estimate that is calculated to contain the population parameter a certain percentage of the time. More information

Define margin of error

The distance from the point estimate to the upper bound (or lower bound) of a confidence interval. More information

Conceptually, what does Cohen's d measure?
The distance between two means in standard deviation units. More information