Practice Quiz Chapter 06

. What does the sampling distribution include?

a) The distribution of a single sample

b) A histogram depicting a sample's distribution

c) The mean of every possible sample for a population

d) The parameters of a sample

e) The statistics of a population

. The central limit theorem applies when the sample size is how many cases or more?

a) 10,000

b) 1000

c) 10

d) 1

e) 100

. If you take every possible sample of a size of 200 cases from a population of 15,000 and graph the mean of each sample the curve of the histogram will take on what shape?

a) Left-skewed

b) Right-skewed

c) Platykurtic

d) Normal

e) Leptokurtic

. You select 10,000 samples from a population of 1,000,000 people. Assuming the sampling distribution of means is normally distributed, how many samples have a mean within one standard deviation of the population mean?

a) 680

b) 6,800

c) 68,000

d) 68

e) 8,600

. Using the following information calculate an answer to this question: If a researcher is using the normally distributed means of 500 samples selected from a population of 10,000 individuals with a standard deviation of 2 and a population mean of 62, figure out the range in which 95% of the samples will fall.

a) 56 and 64

b) 58 and 62

c) 56 and 62

d) 62 and 64

e) 50 and 60

. The calculation for the standard error of the mean incorporates which two statistics?

a) Population parameter and population size

b) Sample mean and population parameter

c) Sample standard deviation and sample size

d) Sample size and sample mean

e) Sample standard deviation and a population parameter

. If the sample standard deviation is low, then what can we say about the population?

a) There is a great deal of variation in the population the sample was selected from

b) There is no variation in the population

c) There is a negative amount of variation in the population the sample was selected from

d) There isn't much variation in the population the sample was selected from

e) The standard deviation of the population is the same as the sample standard deviation

. A randomly-selected sample of 200 people is chosen from a Canadian city and demonstrates that each person on average does 57 minutes of domestic labour the day before. If the standard deviation is 28.5 minutes what is the standard error?

a) 20

b) 0.02

c) 200

d) 2.0

e) 0.2

. Which of the following is not true about the sampling distribution of a statistic?

a) It may not be approximately normal

b) It may be graphed with a histogram

c) It is centered on the population parameter

d) It is approximately normal

e) Its standard deviation is equivalent to the standard error

. What is the 95% confidence interval when calculated using the following information: a sample mean of 57, a sample standard deviation of 28.5, and a standard error of 2?

a) 52 to 66

b) 52.02 to 61.03

c) 53.08 to 60.92

d) 58.03 to 69.02

e) 58.03 to 67.03

. What is the 95% confidence interval when calculated using the following information: a sample mean of 67, a standard deviation of 30, and a standard error of 2.1?

a) 69.2 to 70.1

b) 62.9 to 71.1

c) 60.9 to 70

d) 69.2 to 71.1

e) 6.9 to 7.1

. A randomly-selected sample of 200 people is chosen from a Canadian city and demonstrates that each person on average does 67 minutes of domestic labour the day before. If the standard deviation is 30 minutes, then what is the standard error?

a) 1.2

b) 0.21

c) 0.2

d) 0.0021

e) 2.1

. Which one of the following is not a step required in order to calculate the 95% confidence interval for the mean?

a) Find the mean of the variable

b) Find the standard error of the mean of the variable

c) Multiply the standard error of the mean

d) Complete two calculations to find the upper and lower bound of the confidence interval

e) Calculate the population standard deviation

. If the ranges of two different confidence intervals for two groups in a single population overlap then you can say what about their population means?

a) The two populations have almost the same mean

b) The two populations do not have the same mean

c) The two populations have the same mean

d) Nothing special as this is common

e) The two groups have nothing in common

. Data from 2010's General Social Survey demonstrated that the standard deviation describing the distribution of domestic labour for men was 125.43 minutes and for women it was 135.33 minutes. How are we to interpret this difference?

a) There is less variation in average amount of minutes doing domestic labour for women

b) There is more variation in average amount of minutes doing domestic labour for women

c) Men do more housework than women

d) Women do more housework than men

e) Men and women both do a lot of housework

. Data from the same survey indicates the confidence interval for men's average time spent doing housework went from 121.38 to 128.08 while the interval for women was 157.34 to 163.83. Since the intervals do not overlap, what can we say?

a) The population means are the same

b) The two populations means are differentwomen do more housework than men

c) The population means have nothing in common

d) The two population means are differentmen do more housework than women

e) The population means are not capable of comparison

. The dot in the centre of each error-bar graph of a confidence interval represents what?

a) The mean from a sample for a group

b) The population standard deviation

c) The sample standard deviation

d) The population means

e) The standard error

. For a sample of 200 cases, 41.5% did paid work and housework. What is the standard error of this proportion?

a) 0.32

b) 2.3

c) 0.023

d) 0.032

e) 32.2

. Which of the following is not true of the equation for the standard error of a proportion?

a) The subscript p indicates it is the standard error of a proportion

b) The p notation on the right-hand side of the equation refers to the proportion

c) The sample size is accounted for by the n in the denominator

d) The p notation on the right-hand side is expressed as a decimal

e) It does not account for how common the attribute is in the sample, as well as sample size

. If 90% of cases in a sample have an attribute, p(1-p) is equal to what?

a) 9

b) 90

c) 0.09

d) 0.9

e) 0.009

. Some samples produce statistics that are close to the population and some that are farther away from the population's parameters.

a) True

b) False

. If one sample is completely independent from the other it means cases selected into one sample won't affect the probability they'll be selected into the other.

a) True

b) False

. Histograms are used to plot the mean from multiple samples.

a) True

b) False

. In theory, every sampling distribution is not normally distributed.

a) True

b) False

. According to the central limit theorem, the distribution of some statistic will be centered on the population parameter.

a) True

b) False

. The standard error cannot be estimated using only information from the sample.

a) True

b) False

. The sample standard deviation is an indicator of how much variation there might be in the population.

a) True

b) False

. The larger the sample size, the more of the population it includes.

a) True

b) False

. The standard error is mainly used to calculate confidence intervals.

a) True

b) False

. When social science researchers conduct a study, they usually randomly select as many samples from the population as their resources will allow.

a) True

b) False

. A 95% confidence interval shows the range that the population parameter is estimated to be within.

a) True

b) False

. A 95% confidence interval is based on information from a single sample selected from a population.

a) True

b) False

. The sample mean is always located exactly in the middle of the 95% confidence interval.

a) True

b) False

. A 95% confidence interval means that 95% of the time the samples selected from the population will not include the population parameter.

a) True

b) False

. Social science researchers do not commonly use the 95% confidence interval.

a) True

b) False

. Z-scores and the associated area under the normal curve can be used to calculate any confidence interval.

a) True

b) False

. Confidence intervals can be used to assess whether different groups are likely to have different averages in the population.

a) True

b) False

. Error-bar graphs are used to display confidence intervals for different groups in a population.

a) True

b) False

. The whiskers of an error-bar graph represent the difference between the standard error and standard deviation of a sample.

a) True

b) False

. The formula for calculating the standard error of a mean is the same as the formula for calculating the standard error of the proportion.

a) True

b) False

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