STAT E-50 - Introduction to Statistics Sample Midterm Examination Questions I. Age-related macular degeneration (AMD) , a progressive disease that deprives a person of central vision, is the leading cause of blindness in older adults. In a study publ
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Part I Exploring and Understanding Data
Review of Part I Exploring and Understanding Data
1. Bananas. a) A histogram of the prices of bananas from 15 markets, as reported by the USDA, appears at the right. b) The distribution of banana prices i
STAT E-50 - Introduction to Statistics Quantitative Data
1. Researchers have investigated lead absorption in children of parents who worked in a factory where lead is used to make batteries. Shown below are the levels of lead in the children's blood
STAT E-50 - Introduction to Statistics Sampling Distribution Models; Confidence Intervals for Proportions Notation: p q Proportion, or probability of "success" in the model Probability of "failure" in the model (p + q = 1, so q = 1 - p) Observed prop
STAT E-50 - Introduction to Statistics The Normal Model 1. Researchers have investigated lead absorption in children of parents who worked in a factory where lead is used to make batteries. Shown below are the levels of lead in the children's blood (
Review of Part VI
451
Review of Part VI Learning About the World
1. Crawling. a) H0: The mean age at which babies begin to crawl is the same whether the babies were born in January or July. Jan = July or Jan - July = 0
(
)
HA: There is a di
STAT E-50 - Introduction to Statistics Inferences for Regression ^ The fitted regression line has the equation y = b0 + b1x . Now we can find confidence intervals and perform hypothesis tests for the slope. The idealized regression line is y = 0 + 1
Review of Part II
161
Review of Part II Exploring Relationships Between Variables
1. College. % over 50: r = 0.69 % under 20: r = 0.71 % Full-time Fac.: r = 0.09 % Gr. on time: r = 0.51 2. Togetherness. a) If no meals are eaten together, the model
STAT E-50 - Introduction to Statistics The Chi-Square Test The chi-square test is a nonparametric test that is used to compare experimental results with theoretical models. That is, we will be comparing observed frequencies with expected frequencies.
STAT E-50 - Introduction to Statistics The Normal Model 1. Researchers have investigated lead absorption in children of parents who worked in a factory where lead is used to make batteries. Shown below are the levels of lead in the children's blood (
Standard Error
The standard error is the estimated standard deviation of a sampling distribution, based on the sample statistics.
^ ^ The standard error of p is: SE(p) =
^ pq n s n
The standard error of the mean is: SE(y) =
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Confidence In
STAT E-50 - Introduction to Statistics The Chi-Square Test
The chi-square test is a nonparametric test that is used to compare experimental results with theoretical models. That is, we will be comparing observed frequencies with expected frequencies
STAT E-50 - Introduction to Statistics Review for Final Examination
Inference about.
Population Means One sample One-sample t Two samples Dependent samples One-sample t for differences Independent samples Two-sample t Several samples ANOVA
Populat
STAT E-50 - Introduction to Statistics Hypothesis Testing Hypotheses The null hypothesis: H0: parameter = value The alternative hypothesis: Ha: parameter = value we would accept if we reject the null hypothesis Plan Check the conditions. Specify the
STAT E-50 - Introduction to Statistics Comparing Means; Paired Samples Sampling distribution for the difference between two means When the conditions are met, the standardized sample difference between the means of two independent groups,
t=
(y1 -
STAT E-50
SPRING 2008
MAY 12, 2008
IMPORTANT: THE EXAM WILL BE IN SCIENCE CENTER D. THE EXAM IS ON MONDAY, MAY 19, 2008 FROM 5:30PM TO 7:30PM. THE EXAM COVERS EVERYTHING SINCE THE MIDTERM EXAM. PREPARING FOR THE FINAL EXAM 1. WELL IN ADVANCE a. Or
STAT E-50 - Introduction to Statistics One-Way Analysis of Variance
To compare two or more groups: To test two proportions, use a z-test 2 To test more than two proportions, use a test To test two means, use a t-test To test more than two means
Review of Part V
379
Review of Part V From the Data at Hand to the World at Large
1. Herbal cancer. H0: The cancer rate for those taking the herb is the same as the cancer rate for those not taking the herb. ( pHerb = pNot or pHerb - pNot = 0) HA:
STAT E-50 - Introduction to Statistics Inferences for Regression ^ The fitted regression line has the equation y = b0 + b1x . Now we can find confidence intervals and perform hypothesis tests for the slope. The idealized regression line is y = 0 + 1
STAT E-50 - Introduction to Statistics Testing Hypotheses About Proportions Hypotheses The null hypothesis: H0: parameter = hypothesized value The alternative hypothesis: Ha: parameter = value we would accept if we reject the null hypothesis Model Sp
STAT E-50 - Introduction to Statistics Comparing Means; Paired Samples Sampling distribution for the difference between two means When the conditions are met, the standardized sample difference between the means of two independent groups,
t=
(y1 -
STAT E-50 - Introduction to Statistics Exploring Relationships Between Variables Correlation examines the linear association between two quantitative variables, and the strength of that relationship: Is there a linear relationship between the variabl
STAT E-50 - Introduction to Statistics Exploring Relationships Between Variables Correlation examines the linear association between two quantitative variables, and the strength of that relationship: Is there a linear relationship between the variabl
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Part VII Inference When Variables Are Related
Review of Part VII Inference When Variables Are Related
1. Genetics. H0: The proportions of traits are as specified by the ratio 1:3:3:9. HA: The proportions of traits are not as specified. Counted
STAT E-50 - Introduction to Statistics Sample Midterm Examination Questions I. Age-related macular degeneration (AMD) , a progressive disease that deprives a person of central vision, is the leading cause of blindness in older adults. In a study publ
Review of Part III
209
Review of Part III Gathering Data
1. The researchers performed a prospective observational study, since the children were identified at birth and examined at ages 8 and 20. There were indications of behavioral differences be
Review of Part IV
279
Review of Part IV
1. Quality Control. Construct a Venn diagram of the disjoint outcomes. a) P(defect) = P(cosm.) + P(func.) P(cosm. and func.) = 0.29 + 0.07 0.02 = 0.34 Or, from the Venn: 0.27 + 0.02 + 0.05 = 0.34 b) P(cosm.
STAT E-50 - Introduction to Statistics Introduction; Displaying Categorical Data 1. The following information appeared in an article in Consumer Reports in June 2003:
Name Quaker Chewy Low Fat Granola Bars Kudos Milk Chocolate Granola Bars Kellog's
STAT E-50 Homework policies
To be consistent with the precision required within the discipline of statistics, all homework must be neat, well organized, and presented in a manner that is legible for the grader. Homework assignments are due weekly at