Question 1

Statistical reasoning can help us to generalize correctly from a

Accepted Answer

Statistical reasoning involves making inferences and generalizations about a population based on information obtained from a sample. Therefore, choosing correctly from a sample to a population is a key component of statistical reasoning. Option A is incorrect because range and standard deviation measure variability, but they do not involve generalizing from one set of data to another. Option B is incorrect because standard deviation and mean are both summary statistics used to describe a single set of data, not to generalize from one set of data to another. Option D is incorrect because a scatterplot and a skewed distribution are both graphical displays used to describe a single set of data, not to generalize from one set of data to another.

Question 2

Researchers studied the effects of vitamin supplements on the health of over 600 city residents throughout their adulthood.This research procedure best illustrated

Accepted Answer

The research procedure described best illustrates a longitudinal study, as it involves following the same group of individuals over time (throughout their adulthood) to observe the effects of a variable (vitamin supplements) on their health.

Question 3

Colette received an unusually high grade of A on her first biology test and a B+ on the second,even though she studied equally for both tests.Which of the following best explains Colette's deteriorating pattern of performance?

Accepted Answer

Regression toward the mean suggests that extreme scores on one occasion are likely to be less extreme on a later occasion. Colette's high grade on her first test was likely an outlier, and her second test score returned to a more typical range.

Question 4

As the size of a representative sample increases,the ________ of that sample is most likely to decrease.

Accepted Answer

As the size of a sample increases, the variability of that sample tends to decrease, resulting in a lower standard deviation. This is because larger samples better represent the population, reducing the likelihood of extreme values skewing the data. The range and median may or may not be affected by the size of the sample, while the mean can be influenced by outliers and may increase or decrease depending on their values.

Question 5

Professor Taylor arranged for people of different ages to complete a test of manual dexterity.She then compared manual dexterity across different age levels.The professor's research best illustrates a

Accepted Answer

A cross-sectional study involves comparing groups of different ages at a single point in time. In this case, the professor is comparing manual dexterity across different age levels, which fits the definition of a cross-sectional study. A longitudinal study would involve following the same group of people over an extended period of time. The normal curve and standard deviation are statistical concepts that are not directly related to the type of study being conducted.

Question 6

In a single day,45 babies were born in hospital X,65 babies in hospital Y,and 25 babies in hospital Z.At which hospital is there the greatest probability that more than 60 percent of the babies are of the same sex?

Accepted Answer

The answer of In a single day,45 babies were born...

Question 7

Regression toward the mean refers to the tendency for

Accepted Answer

Regression toward the mean occurs when extreme or unusual scores in a sample are likely to be closer to the sample's average score in subsequent measurements. This is due to the fact that extreme scores are more likely to be a result of random variability rather than a stable characteristic of the individual or group being measured. Therefore, over time, these extreme scores are likely to be followed by more typical scores, leading to a regression toward the mean.

Question 8

A cross-sectional study is one in which

Accepted Answer

In a cross-sectional study, different age groups are tested at the same time. This allows researchers to compare and analyze data between the different age groups. Option A refers to a longitudinal study, option C refers to a within-subjects study, and option D is not a defining characteristic of a cross-sectional study.

Question 9

The illusion that uncontrollable events are correlated with our actions is facilitated by a phenomenon known as

Accepted Answer

The phenomenon of regression toward the mean can create the illusion of a correlation between our actions and uncontrollable events. This occurs because extreme values (such as exceptionally good or bad outcomes) are likely to be followed by values that are closer to the average, regardless of any actions taken. As a result, we may perceive a causal relationship between our actions and the subsequent change in outcome, when in fact it is just a natural statistical phenomenon. Option B (correlation coefficient), C (central tendency), and D (standard deviation) do not directly relate to this phenomenon.

Question 10

To find whether observed differences between samples reflect actual differences between populations,you should determine the ________ of the observed differences.

Accepted Answer

A determination of statistical significance can help determine whether the observed differences are likely to have occurred by chance or if they reflect actual differences between the populations. The mean, median, and standard deviation are descriptive statistics that provide information about the data, but they do not specifically address the question of whether the differences are statistically significant.

Question 11

A sample average can be used to estimate a population average with greater precision if the sample is

Accepted Answer

A larger sample size reduces the sampling error and provides a more accurate representation of the population. Therefore, a sample average can be used to estimate a population average with greater precision if the sample is large. Skewed distribution, high variability, and vividness of sample are not related to the precision of estimating population averages.

Question 12

Gamblers often throw dice gently for low numbers and hard for high numbers.This most directly illustrates

Accepted Answer

This behavior of throwing dice gently or hard for high or low numbers is an example of an illusion of control, where the gambler believes that their actions can influence the outcome of a random event.

Question 13

Cross-sectional research indicated that during early and middle adulthood,aging is associated with ________ levels of intelligence.Longitudinal research indicated that during this period of life,aging is associated with ________ levels of intelligence.

Accepted Answer

Cross-sectional research compares different age groups at the same time and has found that older adults tend to have lower levels of intelligence compared to younger adults. However, longitudinal research, which tracks individuals over time, has shown that while there may be some decline in certain areas of cognitive function during early and middle adulthood, there is also a lot of variability and some individuals may actually experience stable levels of intelligence. Therefore, the best answer is declining levels for cross-sectional research and stable levels for longitudinal research, which is reflected in option C.

Question 14

Illusory correlation refers to

Accepted Answer

Illusory correlation refers to the perception of a relationship between two variables that does not actually exist. It is a type of cognitive bias where an individual perceives a pattern or relationship between variables when, in reality, no such relationship actually exists. This can occur due to a number of factors, including selective attention, confirmation bias, or simply chance.

Question 15

Differences between two sample averages are most likely to be statistically significant if

Accepted Answer

The larger the difference between the two sample averages, the more likely it is that the difference is statistically significant. This is because the larger the difference, the greater the effect size, which increases the likelihood of obtaining a significant result. Factors such as standard deviations and whether the samples are drawn from the same population can also affect the significance of the difference, but the size of the difference is the most important factor. The sample means being larger than the sample medians is not directly relevant to the significance of the difference between the two sample averages.

Question 16

After sports magazines give cover-story attention to the recent outstanding performances of an athlete,the individual often suffers a real decline in performance.This may be at least partially explained in terms of

Accepted Answer

This phenomenon can be explained by regression toward the mean. An athlete's outstanding performance is likely due to a combination of skill and luck, and it is unlikely that they will consistently perform at that same level. Therefore, after receiving cover-story attention, they are likely to return to their typical performance level, which may not be as impressive as their previous performances. This is simply a regression toward the mean, rather than any sort of direct effect of media attention on their performance.

Question 17

Which of the following correlations between self-esteem and body weight would enable you to most accurately predict body weight from knowledge of level of self-esteem?

Accepted Answer

A correlation coefficient of +0.60 indicates a strong positive relationship between self-esteem and body weight. This means that as self-esteem increases, body weight is also likely to increase. Therefore, a higher level of self-esteem would be a good predictor of a higher body weight in this scenario.

Question 18

Which of the following events is the most probable?

Accepted Answer

The answer of Which of the following events is the...

Question 19

The precision with which a sample average approximates a population average increases as

Accepted Answer

The precision with which a sample average approximates a population average increases as the standard deviation of the sample decreases. This is because a smaller standard deviation indicates less variability in the sample, which leads to a more accurate estimate of the population average. A larger standard deviation, on the other hand, means that there is more variability in the sample, which can lead to a less accurate estimate of the population average.

Question 20

Which of the following correlation coefficients expresses the weakest degree of relationship between two variables?

Accepted Answer

The answer of Which of the following correlation coefficients expresses...

Quiz 16: Exploring the Role of Industrial-Organizational Psychology