社会统计学试卷.pdf

社会统计学 试卷 第 1 页 共 34 页 安徽大学安徽大学 2008 2009 学年第一学期学年第一学期 社会统计学 双语教学 考试试卷 社会统计学 双语教学 考试试卷 A 卷 卷 时间 120 分钟 院院 系系 专业专业 姓名姓名 学号学号 题 号 一 二 三 四 五 六 七 总分 得分 一 问答题 每小题 2 分 共 10 分 1 What is the population 2 What is the sample 3 What is Descriptive Statistics 4 What is Inferential Statistics 得分 社会统计学 试卷 第 2 页 共 34 页 二 填空题 每小空 1 分 共 10 分 1 The most used sampling methods are 2 The graphs most used for categorical data descriptive statistics are 3 The graphs most used for quantitative data descriptive statistics are 4 There are two kinds of inference Statistics and they are 得分 社会统计学 试卷 第 3 页 共 34 页 三 是非题 每小题 1 分 共 2 分 1 Only categorical data can be analyzed by confidence interval method 2 Only randomized experiment method can be used to get a casual relationship 得分 社会统计学 试卷 第 4 页 共 34 页 四 单选题 每小题 1 分 共 80 分 Chapter9 1 Fill in the blank The change every time a new sample is taken a sample statistics b parameters c variables d distributions 2 What is the definition of a sampling distribution a It is the distribution of a given variable for a population b It is the distribution of the possible values of a statistic for repeated samples of the same size from the population c It is the distribution of the possible values of a parameter for repeated samples of the same size from the population d It is the distribution of a given parameter for a population 3 Which of the following is not part of the definition for the Normal Curve Approximation for Sample Means a The distribution of possible value of is approximately normal when numerous random samples of size n are taken b The observation in each sample must all be mutually exclusive c The mean of the sampling distribution of is equal to d The standard deviation of the sampling distribution of is equal to 4 Which of the following samples from a normal distribution and has the largest sample size 得分 社会统计学 试卷 第 5 页 共 34 页 a Graph A b Graph B c Graph C d Graph D 5 The following is a graph of the sampling distribution of for fifty random samples of size The histogram of the sample means is overlaid with a normal curve The variable being measured is the number of days a week that people watch at least one hour of television What would you estimate the true value of the population parameter to be a An accurate approximate for would be 5 b An accurate approximate for would be 5 15 社会统计学 试卷 第 6 页 共 34 页 c An accurate approximate for would be 5 55 d The population parameter is unknown and cannot be approximated 6 Which of the following measure of central tendency would be appropriate for a set of data that are strongly skewed a Mean b Standard deviation c Median d Proportion 7 Which of the following is not true a If the appropriate conditions are met the standardized score for sample means will have approximately a standard normal distribution b If the appropriate conditions are met the standardized score for a sample will have approximately a standard normal distribution c If the appropriate conditions are met the standardized score for sample proportions will have approximately a standard normal distribution d If the appropriate conditions are met the standardized score for sample means will have approximately a standard normal distribution 8 What is the distribution of the standardized statistic 社会统计学 试卷 第 7 页 共 34 页 a It has a standard normal distribution with b It has a t distribution with c It has a standard normal distribution with mean 0 and standard deviation 1 d It has a t distribution with mean 0 and standard deviation 1 9 Fill in the blank A confidence interval is an interval of values that the researcher is fairly sure covers the for the population a range of values b statistic c parameter d hypothesis 10 Statistical significance is equivalent to which of the following a Statistical significance is equivalent to accepting the idea that chance alone can explain the observed results of the study b Statistical significance is equivalent to rejecting the idea that chance alone can explain the observed results of the study c Statistical significance is equivalent to a confidence interval d Statistical significance is equivalent to saying the sample statistic is equal to the population parameter Chapter 10 1 Fill in the blank The is an estimate of p a parameter b statistic 得分 社会统计学 试卷 第 8 页 共 34 页 c sample d mean 2 A survey was conducted to determine the proportion of students at a college who exercised regularly A 95 confidence interval was calculated for the sample data collected What can be concluded about the confidence interval a The confidence interval will contain the true population proportion with probability of 0 95 b The confidence interval has a 95 chance of containing the sample proportion c The procedure used to determine the interval will compute an interval that contains the true population proportion 99 of the time d The procedure used to determine the interval will compute an interval that contains the true population proportion 95 of the time 3 Fill in the blank A is a fraction or decimal fraction that has a value between 0 and 1 a mean b sample size c unit d proportion 4 Which of the following factors determine the margin or error for a study a The sample proportion b The sample size n c The confidence level and multiplier of 2 d All of the above factors determine the margin of error 社会统计学 试卷 第 9 页 共 34 页 5 Using the Normal Curve Approximation Rule for Sample Proportions if the sample size is sufficiently large the distribution of possible value of is approximately a normal curve What are the mean and standard deviation for this normal distribution a The mean is and the standard deviation is b The mean is and the standard deviation is c The mean is and the standard deviation is d The mean is and the standard deviation is 6 Suppose a survey is conducted to determine the proportion of individuals in a particular city who commute ten or more miles to their place of work daily Which of the following is a 90 confidence interval if the survey found that 65 of 100 people commute ten or more miles to work daily a 0 527 0 773 b 0 557 0 743 c 0 572 0 728 d 0 539 0 761 7 Which of the following statements regarding sample size is true a As the sample size increases the margin of error decreases b As the sample size increases the margin of error also increases c As the sample size decreases the margin of error also decreases d The sample size and margin of error are not related 8 When can it be reasonably concluded that two population proportions are different a Two population proportions can be concluded as different when the sample proportions for each population are different in other words b Two population proportions can be concluded as different when their standard errors are not the same in other words 社会统计学 试卷 第 10 页 共 34 页 c Two population proportions can be concluded as different when the confidence intervals for each of the proportions overlap each other d Two population proportions can be concluded as different when the confidence intervals for each of the proportions do not overlap each other 9 Which of the following is the correct formula for a confidence interval for p for any confidence interval a b c d 10 What would occur to the confidence interval if the confidence level were changed from 90 to 80 a The confidence interval would decrease in size b The confidence interval would increase in size c The confidence interval would stay the same d It depends on the standard error of the sample Chapter 11 1 What would be the null hypothesis for the question Do elementary students like school more than middle school students a Ho Elementary school students like school more than middle school students b Ha Elementary school students like school more than middle school students c Ho Elementary school students do not like school more than middle school students 得分 社会统计学 试卷 第 11 页 共 34 页 d Ha Elementary school students do not like school more than middle school students 2 If an alternative hypothesis states that the researcher is interested in whether there is any difference in the heights of boys and girls in 3rd grade what type of hypothesis test would be performed a one sided hypothesis test b two sided hypothesis test c both one sided and two sided hypothesis test d three sided hypothesis test 3 What do null and alternative hypothesis statements refer to a Samples b Populations c both samples and populations d Statistics 4 Which of the following is the correct definition for a p value a The p value is computed by assuming the null hypothesis is true and then determining the probability of observing a test statistic as extreme or more extreme than the one observed in the direction of the alternative hypothesis b The p value is computed by assuming the alternative hypothesis is true and then determining the probability of observing a test statistic as extreme or more extreme than the one observed in the direction of the null hypothesis c The p value is computed by assuming the null hypothesis is false and then determining the probability of observing a test statistic as extreme or more extreme than the one observed in the direction of the alternative hypothesis d The p value is computed by assuming the null hypothesis is true and then determining the probability of observing a mean as extreme or more extreme than the one observed in the direction of the alternative hypothesis 5 Suppose a researcher conducted a test of two types of wheat and found the for the following hypothesis test Ho The yield of crop A is no different than the yield of crop B Ha The yield of crop A is larger than the yield of crop B 社会统计学 试卷 第 12 页 共 34 页 Using an what would be your conclusion regarding the hypotheses tested a We would fail to reject the null hypothesis and conclude there is not enough evidence to conclude that the yield of crop A is different than crop B b We would reject the null hypothesis and conclude there is sufficient evidence to conclude that the yield of crop A is larger than the yield of crop B c We would reject the null hypothesis and conclude there is sufficient evidence to conclude that the yield of crop A is smaller than the yield of crop B d There is not enough information given to make a conclusion regarding this hypothesis test 6 Which of the following is not true with regards to hypothesis testing a Both Ho and Ha are stated in terms of the statistic of interest b The null hypothesis is a statement of no relationship or difference c The alternative hypothesis states the change that is believed to have occurred d The alternative hypothesis specifies whether it is a one or two sided test 7 Suppose a study was conducted to determine if more than half of high school males smoke at least one pack of cigarettes a week A sample of 200 males found that 75 of them smoke at least one pack a week Assume all necessary conditions are met What is the z statistic for the significance test of the hypotheses stated above a b c d 8 For an alternative hypothesis test of when will the p value be greater than or equal to 0 50 a When the sample proportion is greater than or equal to po 社会统计学 试卷 第 13 页 共 34 页 b When the sample proportion is less than po c When the sample proportion is equal to po d When the population proportion is greater than or equal to po 9 What does the probability of a type 2 error depend on a sample size b true parameter value c level of significance d All of the above 10 What is the appropriate rejection region for a test statistic z in a two tailed test with a The rejection region consists of values of z 2 58 c The rejection region consists of values of z 2 58 d The rejection region consists of value of z 2 33 Chapter 12 1 What is the parameter for the research question How much difference is there in the average weight gain during a females f freshman year of college and a males m average weight gain during his freshman year of college a b c 得分 社会统计学 试卷 第 14 页 共 34 页 d 2 Which of the following is the general definition of standard error a The standard error of a sample statistic is the standard deviation of the sampling distribution of the statistic b The standard error of a sample statistic measures the average distance between the statistic and the population parameter over all possible random samples of a given size than can be taken from the population c The standard error is the standard deviation of the population being measured d Both answers a and b 3 How is the standard error of the difference between two sample means calculated a b c d 4 Suppose an approximate 95 confidence interval for the difference in the average number of miles a male track member runs a week and the average number of miles a female track member runs a week is 1 5 3 2 Can we conclude that the average number of miles a male and female track member runs a week is approximately equal Why or why not a Since the midpoint of the interval is greater than zero the evidence supports the conclusion that there is a difference between the average miles a male and female track member run a week b Since zero is included in the interval the evidence supports the conclusion that the average number of miles is approximately equal for a male and female track member c Since zero is included in the interval the evidence supports the conclusion that there is a difference between the average miles a male and female track member run a week d This is not a valid confidence interval since it includes negative numbers and therefore no conclusion can be made 5 When should a Student s t distribution be used when calculating confidence intervals 社会统计学 试卷 第 15 页 共 34 页 a It should be used when the population standard deviation is known b It should be used when the sample mean is known c It should be used when the population mean is known d It should be used when the sample standard deviation is used in place of the population standard deviation 6 Which of the following is the general formula for a confidence interval for a population mean Verify the degrees of freedom a b c d 7 What is a conservative estimate for the degrees of freedom of t when computing a confidence interval for the difference between two means a b c d 8 If it can be assumed that the variances of the two populations being studied are the same which of the following is false a A confidence interval for has the form b The value for t is found using a t distribution with 社会统计学 试卷 第 16 页 共 34 页 c The pooled variance is a weighted average of the individual sample variances d If the sample sizes are the same then the weights are equal and the pooled variance is 9 Which of the following represents the critical value that should be used when computing a confidence interval for the difference between two population proportions a b c d 10 Which of the following is not true for a two sample problem of comparing means a The two samples are considered to be from the same population b Statistical inference compares the responses of the two groups c The samples are independent and randomly chosen d When both population standard deviations are unknown and the distributions are normal the t distribution is used Chapter 13 1 What is the general form for a standardized test statistic a b c d 得分 社会统计学 试卷 第 17 页 共 34 页 2 Which of the following is are necessary conditions for the data when conducting a one sample hypothesis test a The population of the measurements must be approximately normal and a random sample of any size is measured b If the population of the measurements is not approximately normal the sample must be a large random sample typically greater than 30 c The population of the measurements must be approximately normal and a random sample larger than 30 must be measured d Either of the conditions in answer a and answer b must be met 3 Suppose the test scores on a 100 point test were recorded for the following 6 students Scores for the six students were 80 75 90 60 35 and 88 If the instructor is interested in whether or not the scores for this particular type of test average 75 for all people who take this test what would are the null and alternative hypotheses a b c d 4 Which of the following represents the test statistic for a paired t test a b c 社会统计学 试卷 第 18 页 共 34 页 d 5 What are the hypotheses being tested and the appropriate conclusion from the MINITAB results below Note The variable being studied is height Use 0 10 Two sample T for Group 1 vs Group 2 a The hypotheses are and the conclusion would be that there is a statistically significant difference between the heights of Group 1and Group 2 b The hypotheses are and the conclusion would be that there is not a statistically significant difference between the heights of Group 1and Group 2 c The hypotheses are and the conclusion would be that there is not a statistically significant difference between the heights of Group 1and Group 2 d The hypotheses cannot be determined from the information given 6 Given the 95 confidence interval 3 12 can you make a conclusion regarding the null hypothesis that the amount of mail a person receives on average per day is 2 i e a Yes we can reject the null hypothesis at the level and conclude that the average number of pieces of mail differs from 2 b No we cannot reject the null hypothesis at the level and therefore conclude that the average number of pieces of mail does not differ from 2 c Yes we can reject the null hypothesis at the level and conclude that the average number of pieces of mail differs from 2 d No we cannot reject the null hypothesis at the level and therefore conclude that the average number of pieces of mail does not differ from 2 7 Which of the following parameters is used for categorical variables a b 社会统计学 试卷 第 19 页 共 34 页 c d Both answer a and b 8 Which of the following factors affect the probability of making a type 2 error a The level of significance b The actual value of the population parameter even though this is often unknown c The sample size d All of the above 9 When does