# STATS Final Exam MCQs

Question 1Suppose you wish to compare the mean years of education of all faculty in the Epidemiology and Biostatistics department to the mean years of education of all faculty in the Community and Family Health department at USF. Which is the most appropriate technique for gathering the needed data?Randomized trialSample surveyExperimentCensus?Question 2In a study on the effect of calcium on bone density levels, 50 women were randomly chosen to receive calcium and 50 were chosen to receive a placebo. These subjects were later examined to check for differences in their bone density levels. In a second study on the effect of a new combination drug of calcium and vitamin D on bone density, 100 subjects were randomly chosen to receive the new medication and 100 were chosen to receive a placebo. The subjects were later examined to check for differences in their bone density levels.Which of the following statements is correct?The first study was a controlled experiment, while the second was an observational study.The first study was an observational study, while the second was controlled experiment.Both studies were controlled experiments.Both studies were observational studies.?Question 3Ethnicity of USF students isDiscreteContinuousQualitativeNone of the above?Question 4Which of the following methods of sample data is not appropriate for determining the shape of a frequency distribution for the variable height (measured in inches)?Box plotPie chartStem-and leaf displayAll of the above?Question 5A researcher would like to study BMI levels in adults 20-40 years of age. She selected 9 patients and found their BMI values to be: 18, 29, 20, 22, 25, 27, 26, 30, 37The mean BMI level of this group of patients is25.826.026.227.9?Question 6A researcher would like to study BMI levels in adults 20-40 years of age. She selected 9 patients and found their BMI values to be: 26, 20, 18, 32, 29, 38, 21, 25, 23The standard deviation of BMI levels of this group of patients is5.75.96.46.6?Question 7A sample of 1000 subjects is stratified gender and physical activity level as follows:Physical Activity LevelGender Low High TotalMale 100 500 600Female 200 200 400Total 300 700 1000In a random selection of a subject from the study population, what is the probability that the person is female?3/107/103/52/5?Question 8The Table below shows data on age group by smoking status that was collected by a study looking at the associations between smoking and age. What is the probability of selecting a former smoker between the ages of 61 to 70?0.0300.0480.0730.085?Question 9Five hundred women are enrolled in a study to evaluate the accuracy of a test for pregnancy. 300 of the women were actually pregnant. 270 of the pregnant women had a positive test as did 40 of the women who were not pregnant. What is the probability (i.e., specificity) that a woman tested negative on a test given that she is not pregnant?Test Pregnant?Yes No Total+ 270 40 310- 30 160 190Total 300 200 5000.800.840.870.90?Question 10A graduate student is registering for 3 courses in one semester. X=the number of courses that are full at the time of registration. The random variable X has a probability distribution as followsx 0 1 2 3p(x) 0.55 0.25 0.15 0.05The probability that less than two of the classes are full at the time of registration [P(X < 2)] is equal to0.300.700.800.95?Question 11The central limit theorem tells us that the sampling distribution of the sample mean is approximately normal. Which of the following conditions are necessary for the theorem to be valid:a) The sample size has to be large.b) We have to be sampling from a normal population.c) The population has to be symmetric.d) Both a) and c).?Question 12Which of the following statements are true regarding Type I or Type II errors?Type II error occurs when we fail to reject a true null hypothesis.Type II error occurs when we fail to reject a false alternative hypothesis.Type-I error occurs when we reject a true null hypothesisType-I error occurs when we reject a true alternative hypothesis.?Question 13In One Sample Proportion test, it is important to convert the sample proportion to a z-score first. In this example, we selected a random sample of size 110 from a pool of university students and asked whether they use the university gym on a regular basis. Sixty-eight replied yes. Assuming that the population proportion under the null hypothesis is 50%, what is the z-score for the sample proportion?2.482.633.273.38?Question 14To investigate the prevalence rate of diabetes among men in Florida, we drew a random sample of 70 men from that population and among them 15 people had diabetes. For the following hypotheses, what would be your conclusion based on the information provided? The level of significance (alpha level) is 0.05. (Hint: Depending on the direction of the alternative test, use 1.96 or -1.96 as the critical z-value)Ho: P = 0.2 (Null)Ha: P > 0.2 (Alternative)Reject the null hypothesis.Fail to reject the null hypothesis.Cannot conclude due to the sample size and the population proportion not meeting the requirement needed for applying Central Limit Theorem.Cannot conclude due to lack of information.?Question 15Researchers want to test the effectiveness of a new pain medication. Four hundred people were recruited to participate in the clinical trial. In clinical testing, 48 out of 180 people taking the medication reported pain symptoms. Of the other 220 people receiving a placebo, 87 reported pain symptoms. What is the estimated standard error of the difference of the two sample proportions based on pooled sample proportion?0.0380.0410.0430.047?Question 16It is known that the population standard deviation of weight among females is 30. Assuming that we have a random sample of 210, what is the standard error of the average weight among women of a sample of this size?1.292.072.202.72?Question 17It is known that the population standard deviation of weight among females is 15. Assuming that we have a random sample of 136 and a sample mean of 125, what would be your 90% confidence interval estimate of the population mean weight? (Hint: use 1.65 as the critical z-value)[122.9, 127.1][121.9, 130.4][123.7, 133.5][125.7, 133.6]?Question 18Ten students were randomly selected from the College of Public Health and their diastolic blood pressure was tested. The sample mean and standard deviation were 78.2 mmHg and 2.1 mmHg respectively. What is the obtained t-score for this sample under the null hypothesis Ho: Âµ = 80?-1.571.55-2.712.60?Question 19To compare the treatment effects of two interventions, two independent samples of patient medical data were collected. The sample sizes are 25 and 21 respectively. Assuming that the two populations shared the same variance, the researchers decided to conduct a two independent samples test for the means. What would be the number of degrees of freedom for the obtained t statistic with these sample sizes?44475052?Question 20Researchers want to test the effectiveness of a new pain medication. Four hundred people were recruited to participate in the clinical trial. In clinical testing, 49 out of 210 people taking the medication reported pain symptoms. Of the other 190 people receiving a placebo, 140 reported pain symptoms. Combining the two samples together, what is the overall proportion of those who reported pain symptoms among all participants?0.190.340.450.47?Question 21For correlation coefficients, which of the following is true?The closer r is to 1, the stronger the negative linear relationshipThe closer r is to 1, the stronger the positive linear relationshipThe closer r is to 0, the stronger the positive linear relationshipThe closer r is to -1, the strong the positive linear relationship?Question 22Which of the following assumptions concerning the probability distribution of the random error term in a simple regression model is stated incorrectly?The distribution is normalThe mean of the distribution is 1The errors are independent from one value of y to the nextThe variance of the distribution is constant?Question 23Which of the following indicates a weak positive
correlation?-.810.35.93?Question 244 ptsSkip to question text.A biostatistician finds the relationship between the number of weeks (X) spent in a hospital and number of seizures per week (Y) and is described by the following equation: y hat = 14.9 â 0.91x. This is based on a sample size of 50 patients and the associated coefficient of correlation is r = -.93.Using this information above, answer the following question: How do you interpret r = -.93?There is a perfect positive relationship between the number of weeks spent in a hospital and the number of seizures recorded.There is a perfect negative relationship between the number of weeks spent in a hospital and the number of seizures recorded.There is a strong negative relationship between the number of weeks spent in a hospital and the number of seizures recorded.There is a strong positive relationship between the number of weeks spent in a hospital and the number of seizures recorded.?Question 25The probability that a person tested positive on a screening test given that he/she has a disease is called theNegative predictive valuePositive predictive valueSensitivitySpecificity

# STATS Final Exam MCQs

Question 1Suppose you wish to compare the mean years of education of all faculty in the Epidemiology and Biostatistics department to the mean years of education of all faculty in the Community and Family Health department at USF. Which is the most appropriate technique for gathering the needed data?Randomized trialSample surveyExperimentCensus?Question 2In a study on the effect of calcium on bone density levels, 50 women were randomly chosen to receive calcium and 50 were chosen to receive a placebo. These subjects were later examined to check for differences in their bone density levels. In a second study on the effect of a new combination drug of calcium and vitamin D on bone density, 100 subjects were randomly chosen to receive the new medication and 100 were chosen to receive a placebo. The subjects were later examined to check for differences in their bone density levels.Which of the following statements is correct?The first study was a controlled experiment, while the second was an observational study.The first study was an observational study, while the second was controlled experiment.Both studies were controlled experiments.Both studies were observational studies.?Question 3Ethnicity of USF students isDiscreteContinuousQualitativeNone of the above?Question 4Which of the following methods of sample data is not appropriate for determining the shape of a frequency distribution for the variable height (measured in inches)?Box plotPie chartStem-and leaf displayAll of the above?Question 5A researcher would like to study BMI levels in adults 20-40 years of age. She selected 9 patients and found their BMI values to be: 18, 29, 20, 22, 25, 27, 26, 30, 37The mean BMI level of this group of patients is25.826.026.227.9?Question 6A researcher would like to study BMI levels in adults 20-40 years of age. She selected 9 patients and found their BMI values to be: 26, 20, 18, 32, 29, 38, 21, 25, 23The standard deviation of BMI levels of this group of patients is5.75.96.46.6?Question 7A sample of 1000 subjects is stratified gender and physical activity level as follows:Physical Activity LevelGender Low High TotalMale 100 500 600Female 200 200 400Total 300 700 1000In a random selection of a subject from the study population, what is the probability that the person is female?3/107/103/52/5?Question 8The Table below shows data on age group by smoking status that was collected by a study looking at the associations between smoking and age. What is the probability of selecting a former smoker between the ages of 61 to 70?0.0300.0480.0730.085?Question 9Five hundred women are enrolled in a study to evaluate the accuracy of a test for pregnancy. 300 of the women were actually pregnant. 270 of the pregnant women had a positive test as did 40 of the women who were not pregnant. What is the probability (i.e., specificity) that a woman tested negative on a test given that she is not pregnant?Test Pregnant?Yes No Total+ 270 40 310- 30 160 190Total 300 200 5000.800.840.870.90?Question 10A graduate student is registering for 3 courses in one semester. X=the number of courses that are full at the time of registration. The random variable X has a probability distribution as followsx 0 1 2 3p(x) 0.55 0.25 0.15 0.05The probability that less than two of the classes are full at the time of registration [P(X < 2)] is equal to0.300.700.800.95?Question 11The central limit theorem tells us that the sampling distribution of the sample mean is approximately normal. Which of the following conditions are necessary for the theorem to be valid:a) The sample size has to be large.b) We have to be sampling from a normal population.c) The population has to be symmetric.d) Both a) and c).?Question 12Which of the following statements are true regarding Type I or Type II errors?Type II error occurs when we fail to reject a true null hypothesis.Type II error occurs when we fail to reject a false alternative hypothesis.Type-I error occurs when we reject a true null hypothesisType-I error occurs when we reject a true alternative hypothesis.?Question 13In One Sample Proportion test, it is important to convert the sample proportion to a z-score first. In this example, we selected a random sample of size 110 from a pool of university students and asked whether they use the university gym on a regular basis. Sixty-eight replied yes. Assuming that the population proportion under the null hypothesis is 50%, what is the z-score for the sample proportion?2.482.633.273.38?Question 14To investigate the prevalence rate of diabetes among men in Florida, we drew a random sample of 70 men from that population and among them 15 people had diabetes. For the following hypotheses, what would be your conclusion based on the information provided? The level of significance (alpha level) is 0.05. (Hint: Depending on the direction of the alternative test, use 1.96 or -1.96 as the critical z-value)Ho: P = 0.2 (Null)Ha: P > 0.2 (Alternative)Reject the null hypothesis.Fail to reject the null hypothesis.Cannot conclude due to the sample size and the population proportion not meeting the requirement needed for applying Central Limit Theorem.Cannot conclude due to lack of information.?Question 15Researchers want to test the effectiveness of a new pain medication. Four hundred people were recruited to participate in the clinical trial. In clinical testing, 48 out of 180 people taking the medication reported pain symptoms. Of the other 220 people receiving a placebo, 87 reported pain symptoms. What is the estimated standard error of the difference of the two sample proportions based on pooled sample proportion?0.0380.0410.0430.047?Question 16It is known that the population standard deviation of weight among females is 30. Assuming that we have a random sample of 210, what is the standard error of the average weight among women of a sample of this size?1.292.072.202.72?Question 17It is known that the population standard deviation of weight among females is 15. Assuming that we have a random sample of 136 and a sample mean of 125, what would be your 90% confidence interval estimate of the population mean weight? (Hint: use 1.65 as the critical z-value)[122.9, 127.1][121.9, 130.4][123.7, 133.5][125.7, 133.6]?Question 18Ten students were randomly selected from the College of Public Health and their diastolic blood pressure was tested. The sample mean and standard deviation were 78.2 mmHg and 2.1 mmHg respectively. What is the obtained t-score for this sample under the null hypothesis Ho: Âµ = 80?-1.571.55-2.712.60?Question 19To compare the treatment effects of two interventions, two independent samples of patient medical data were collected. The sample sizes are 25 and 21 respectively. Assuming that the two populations shared the same variance, the researchers decided to conduct a two independent samples test for the means. What would be the number of degrees of freedom for the obtained t statistic with these sample sizes?44475052?Question 20Researchers want to test the effectiveness of a new pain medication. Four hundred people were recruited to participate in the clinical trial. In clinical testing, 49 out of 210 people taking the medication reported pain symptoms. Of the other 190 people receiving a placebo, 140 reported pain symptoms. Combining the two samples together, what is the overall proportion of those who reported pain symptoms among all participants?0.190.340.450.47?Question 21For correlation coefficients, which of the following is true?The closer r is to 1, the stronger the negative linear relationshipThe closer r is to 1, the stronger the positive linear relationshipThe closer r is to 0, the stronger the positive linear relationshipThe closer r is to -1, the strong the positive linear relationship?Question 22Which of the following assumptions concerning the probability distribution of the random error term in a simple regression model is stated incorrectly?The distribution is normalThe mean of the distribution is 1The errors are independent from one value of y to the nextThe variance of the distribution is constant?Question 23Which of the following indicates a weak positive
correlation?-.810.35.93?Question 244 ptsSkip to question text.A biostatistician finds the relationship between the number of weeks (X) spent in a hospital and number of seizures per week (Y) and is described by the following equation: y hat = 14.9 â 0.91x. This is based on a sample size of 50 patients and the associated coefficient of correlation is r = -.93.Using this information above, answer the following question: How do you interpret r = -.93?There is a perfect positive relationship between the number of weeks spent in a hospital and the number of seizures recorded.There is a perfect negative relationship between the number of weeks spent in a hospital and the number of seizures recorded.There is a strong negative relationship between the number of weeks spent in a hospital and the number of seizures recorded.There is a strong positive relationship between the number of weeks spent in a hospital and the number of seizures recorded.?Question 25The probability that a person tested positive on a screening test given that he/she has a disease is called theNegative predictive valuePositive predictive valueSensitivitySpecificity