Exam 1 CH. 1-7

The median can be used for skewed distributions and ordinal data. Why is the median appropriate for describing ordinal data?

ordinal data convey direction only (more or less than)

If the smallest score in a distribution is 10 and the largest is 32, then what is the real range for these data?

23

Data from airline passengers were ranked by their country of origin, an example of a

Nominal scale

The only difference in computing sample and population variance is that the SS is divided by ______ for the sample variance.

n-1

The median is:

all of the above (the preferred measure of central tendency when outliers are in a data set, the middle value in a distribution listed in numerical order, at the 50th percentile of a cumulative percent distribution )

An ogive is used to summarize what type of frequency distribution?

cumulative percent

The mean for a vocabulary test is 100; a researcher selects a sample to administer this test. In this example, the null hypothesis is

D

The power in hypothesis testing is

The probability of rejecting a false null hypothesis

The alpha level is completely different from the p value.

True

The interquartile range (IQR) is the range of a distribution of scores

after the top 25% and bottom 25% of the scores in that distribution are removed

Only one of the following is a step to hypothesis testing

set the criteria for a decision

All of the following are true about normal distributions except

the distribution is asymmetrical

A z score for the mean in a normal distribution is always equal to 1.

False

If a researcher selects a sample of 36 participants from a population with a variance of 16, then the standard error of the mean will be 2.0.

False

A ________ frequency distribution is often used for larger data sets where the number of frequencies in each interval could be in the thousands or millions.

relative

A researcher measures a sample mean for five samples. The sample mean in each sample is M = 2, M = 4, M = 5, M = 7, and M = 9. What will the sum of the differences of scores from the mean equal in each sample?

equal to 0

A researcher selects a sample of 49 participants from a population with a standard deviation of 7. What is the standard error of the mean?

equal to 1

Each of the following is a rule for constructing a histogram, except:

frequencies are plotted at the midpoints of each interval and the line connects each plot

The mean is the balance point of a distribution, which means that it is:

not always located at the center of a distribution of scores

If the value of the test statistic is in the rejection region, then

p < .05

A graphical display in the shape of a circle that is used to summarize the relative percent of discrete and categorical data into sectors is called a:

pie chart

As a general rule, when the number of intervals needed to summarize a data set is smaller than ____, we can leave the data ungrouped.

5

Using the computational formula to compute SS for a specific array of values, . If this is a sample of 4 scores, then what would SS equal using the definitional formula?

5

A researcher states that a sample of 100 babies from a rural area weighed 25 ± 7.5 (M ± SEM) pounds at their first birthday. Which value is the standard error of the mean?

7.5

A librarian at a university is interested in looking at how many undergraduate students use the library. He records student use of different library resources and tabulates this usage. This information is an example of

Descriptive statistics

A Type III error is possible for hypothesis tests where the rejection region is located in both tails.

False

For normal distributions, 95% of data will fall within two standard deviations of the mean.

True

Multiplying or dividing each score using the same constant will change the standard deviation.

True

The greater the power, the more likely we are to correctly reject the null hypothesis, if it is incorrect.

True

The larger the population standard deviation, the larger the standard error of the mean will be.

True

A researcher measures the following scores: 0, 2, 2, 2, 2, 2, 4, 4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 2, 4, 2, 2, 4, 4, 4, 4, 4, and 0. Should these data be grouped?

no, because the number of different scores is small

The mode is the primary measure of central tendency to describe data on which scale of measurement?

nominal

A sample of 25 participants where the population mean was 10 and standard deviation of 5 completed a word recall test. What is the probability of obtaining a sample mean that is at least two standard deviations larger than the population mean?

.0228

Which of the following is a characteristic of probability?

Probability varies between 0 and 1.

Of these, the largest proportion in a z distribution could be:

The proportion of area that lies between z = +1 and z = -1.

The variance and standard deviation can only be

positive

Scores close to the mean are located in the ________ of a normal distribution.

body

A researcher records M = 12 in a sample of men (n = 10) and M = 8 in a sample of women (n = 20). What is the weighted mean for these samples?

9.33

A sampling distribution is a distribution of all population means or variances that could be obtained in samples of a given size from the same population.

False

On average the sample mean will equal the population mean, and the sample mean is an unbiased estimator.

True

A researcher records the following time (in seconds) that children in a sample play with an unfamiliar toy: 12, 14, 10, 6, 8, 10, 13, 12, 4, 12, and 6. Which measure of central tendency (the mean, median, or mode) is largest?

mode

The mean for a distribution of scores is M = 6. If we measure a new score equal to 10, then what will happen to the mean?

the mean will increase

Scores on a board game were: 23 3.1 (M SD) points. Assuming these data are normally distributed, what is the probability that a competing team got 20 points or less?

.1660

A researcher decreases the sample size, which will:

increase the value of standard error

The following are true for sampling without replacement except

it is used in the development of statistical theory

When a weighted mean is computed for two or more samples with unequal sample sizes, which value is used as the weight in the formula?

n

A ________ is a cumulative percent summary in which the ranks indicate the percent of scores at or below a given value.

percentile rank

The _________ is the sum of N scores divided by N, whereas the ________ is the sum of n scores divided by n.

population mean; sample mean

The variance of the sampling distribution of sample means equals the ______________ divided by the sample size

population variance

The proportion or fraction of times an outcome is likely to occur is referred to as

probability

Which of the following distributions has the smallest variability?

scores: 2, 3, 4, 5, and 6

The probability of an outcome or event is

the fraction of times an outcome is likely to occur

Which of the following will decrease the value of the mean for a distribution of scores?

deleting an existing score above the mean

It is necessary to create intervals for a simple frequency distribution with what type of data?

grouped data

What is the z score for scores in the lowest 2.5%?

-1.96

Which of these statements is false?

A researcher can directly control the probability of a Type II error

According to the central limit theorem, as the number of samples in the sampling distribution increases, the sampling distribution of sample means selected at random from that population will

Approach the shape of a normal distribution.

Is children's vocabulary related to their parents' education level? To answer this, researchers measured the number of words 3-year-old children knew, and their parents education (in number of years). This data can be examined using:

Correlational method

Students were asked to rate the effectiveness of video lectures for an online class. Their ratings on a 5-point scale would be

Discrete and quantitative

The SS in two similar experiments was found to be 104. Experiment 1 had 10 participants and experiment 2 had 20 participants. Which experiment is associated with the largest variance?

Experiment 1

Randomly assigning to different groups to ensure that manipulations of the independent variable are measured on similar groups is necessary in:

Experimental method

Descriptive statistics can help to infer the unknown parameters in a population.

False

In an ordinal scale, a larger number represents a greater value than a smaller number, and the ratio of any two numbers represents a meaningful value.

False

The standard error is the sample variance divided by the square root of the sample size.

False

The variance is the best estimate of variability since it takes into account all values except the mean.

False

A librarian at a university is interested in looking at how many undergraduate students use the library. He records student use of different library resources in one month and extrapolates this information for the year-round usage. This is an example of

Inferential statistics

A researcher records the following data: 10, 10, 10, 10, and 10. How would you describe the variability of these data?

It is equal to zero because scores are the same.

A librarian at a university is interested in looking at how undergraduate students use the library resources. He sends a survey about the library usage to all undergraduate students in the college but receives responses from only a subset of students. In this example, the librarian was interested in getting information from the ______________, but could obtain only a _____________.

Population; sample

A researcher studies the development of cognitive flexibility by testing children of different age groups on a problem-solving task. This is an example of a:

Quasi-experimental method

In one study it was reported that scores were lower than the population mean, and z = -1.75, p = .05 (d = .14). If this was a test at a .05 level of significance, then what value must be incorrectly reported?

The p value

A researcher studying the development of executive functions in children conducts an experiment and computes a test statistic. He finds that the p value for this test is .025. This result means

There is a 2.5% likelihood of obtaining the test statistic value, if the null were true.

A continuous variable is measured along a continuum at any place beyond the decimal point, and can be positive (e.g., height) or negative (e.g., temperature) in value.

True

A relative percent distribution is often used instead of a relative frequency distribution because:

most readers find it easier to understand percentages than decimals

Sampling strategy used in developing statistical theory is based on

participants are replaced after being sampled

Although different symbols are used to represent the number of scores in a sample and population, the computation of central tendency is ________ for samples and populations.

the same

Given the following values: u = 5.0, M = 6.6, n = 25, s (population) = 5, conduct a one-sample z test at a .05 level of significance. For a one-tailed test, upper-tail critical, what is the decision?

to retain the null hypothesis

The weighted mean is used to compute the mean for samples with ________ sizes.

unequal

The population mean is identified by the Greek letter ________; the sample mean is identified by an italicized ________.

µ : M

A psychologist records the time in seconds it takes a sample of children to complete a set of problems, and computed the SS = 1600. Assuming that the psychologist observed a sample of 25 children in this study, what is the variance and standard deviation for these data?

66.7; 8.2

The z distribution is normally distributed with a mean of 0 and a variance of ____.

1

A sample of 144 participants from a population with a mean of 100 and a variance of 36 completed a cognitive test. What is the standard error of the mean?

0.5

A researcher determines that employees at a company commuted an average of 90 (+/- 30) minutes per week. Assuming these data are normally distributed, what is the z score for an employee commuting 60 minutes per week?

1.0

In a normal distribution, the mean can take on positive or negative values.

True

One step to hypothesis testing is to compute the test statistic.

True

Random assignment is not possible in a quasi-experiment because the variables being studies cannot be manipulated.

True

The definitional formula for the standard deviation requires that you know the value of the mean.

True

If the smallest score in a distribution is 12 and the largest is 71, then what is the interval width if we create 6 intervals?

10

A researcher found that a group of rats took 18±2 minutes (M±SD) to learn a route to find a reward. How long did it take 80% of the rats to learn the route?

19.68 minutes.

All z scores above and below the mean are positive.

False

Experimental research is typically conducted using a sampling strategy in which

the same participant can never be selected twice in the same sample

An effect size of d = 0.18 is a large effect in the population.

False

A swimmer measures the time it takes for each of his laps and determines that a time of 15 seconds is at the 25th percentile, a score of 17 seconds is at the 50th percentile, and a score of 21 seconds is at the 75th percentile. What is the interquartile range (IQR) for these data?

6

In blinded studies, consumers' rankings of the effectiveness of brand name painkillers did not differ from generic painkillers that had the same key ingredients, on a 5-point scale. The scale used in these studies is

An Interval scale

A researcher records the number of songs played by a station in one hour on weekdays, with commercial interruptions. In his study, he found that the average number of songs played, the M = 16, and standard deviation = 3. Assuming the data are normally distributed, which of the following is an appropriate conclusion?

During weekdays 95% of the time, the station played between 22 and 10 songs per hour..

High School GPA and score on the SAT exams are considered during college admissions. Both these values are continuous and quantitative measurements.

False

Listeners to a specific radio station were asked to rank one hundred songs for popularity. The composite rank score for the songs were then published, and shows use of a

Ordinal scale

A researcher selected data that were normally distributed, and appropriately concluded that about 95% of scores occurred between 2 standard deviations below and above the mean.

True

The range takes into consideration only two values regardless of the number of scores in a distribution.

True

The mean is used to describe:

all of the above (data that are normally distributed, interval scale data, ratio scale data)

Scatter grams can be used to illustrate the relationship between ________.

bivariate plots

A researcher obtains z = 3.79 for a one-sample z test. If the researcher decided to retain the null hypothesis, then:

both A and B (Their decision was inconclusive.; Their decision was based on a two-tailed test. )

A method for testing a claim or hypothesis about a parameter in a population, using data measured in a sample, is called

both a and b (hypothesis testing; significance testing)

When we sum the frequencies across a series of intervals, the summary is called a:

cumulative frequency distribution

A bar chart is similar to a histogram, except that in a bar chart, each rectangle ________ the adjacent rectangles at the boundaries of each interval:

does not touch

A researcher measures the distance (in miles) that students travel during a holiday season. What type of graph (shown below) was used to summarize these data? Is it appropriate?

histogram; yes because the data are continuous