MATH 116 – FINAL EXAM - STUDY GUIDE

1) In the website at the bottom, there are some multiple choice questions to review from the covered chapters

2) Study the exams

3) Review the handouts with solutions from the website

  • Chapters 1 and 2
  • Recognizing categorical and quantitative variables
  • Recognizing populations and samples
  • Recognizing parameters and statistics
  • Recognizing observational studies and experiments
  • Chapter3 - Contingency tables
  • Recognizing explanatory and response variables
  • Find conditional and marginal proportions
  • Based on a conditional proportions table, construct a side-by-side bar graph
  • Does the graph show an association between the variables?
  • Chapter 3 -Correlation and regression
  • Recognizing explanatory and response variables
  • Find the regression equation (least squares regression line) and the correlation coefficient with the calculator
  • Explain the meaning of the slope
  • Use the regression equation for predictions: Given x, find y, or given y, find x
  • Is the prediction reliable?
  • Find residuals
  • Chapter 6.2 – Normal Distributions:
  • Use z-scores to compare x-values
  • Find probabilities when selecting one individual (show procedure, and use the calculator)
  • Find scores, percentiles when selecting one individual (show procedure and use the calculator)
  • Chapter 7: Sampling Distributions - Central Limit Theorem

7.1 – The sampling distribution a Sample Proportion

  • Describe the distribution of sample means for samples of size n: shape (must justify), mean and standard deviation
  • Find probabilities in the x-bar distribution (show procedure and use the calculator)

7.2 – The sampling distribution a Sample Mean

  • Describe the distribution of sample means for samples of size n: shape (must justify), mean and standard deviation
  • Find probabilities in the x-bar distribution (show procedure and use the calculator)
  • Chapter 8: - Confidence Intervals for one population

8.2 – Point estimates and confidence interval estimates for population proportions

8.3 – Point estimates and confidence interval estimates for population means

  • For one population mean with standard deviation of the population sigma (use z)
  • For one population mean with standard deviation of sample s (use t)
  • Find the point estimate (show work)
  • Use the calculator to construct the interval
  • Use the interval results to find the margin of error
  • Interpret in context
  • What does the interval suggest in reference to a claim? Select the correct choice from the given ones and explain your selection

Chapter 8 – confidence intervals – in general

  • How does the interval change if you increase the confidence level? Will it be more precise (shorter) or less precise (longer)?
  • How does the interval change if you increase the sample size? Will it be more precise (shorter) or less precise (longer)?
  • Chapter 9 – Hypothesis testing for one population

9.1 – General concepts

9.2 – Significance tests about one population proportions

  • Use the calculator
  • Be able to show how to find the test statistic (z) and the p-value (p) with procedures of chapter 7

9.3 – Significance tests about one population means

For one population mean with standard deviation of the population sigma (use z)

  • Use the calculator
  • Be able to show how to find the test statistic (z) and the p-value (p) with procedures of chapter 7

For one population mean with standard deviation of sample s (use t)

  • Use the calculator
  • Chapter 10 – Hypothesis testing for two populations

10.1 – HT and CIabout two population proportions – independent samples

  • Use the calculator

10.2 –HT and CI – independent samples

  • Use the calculator

10.4 – HT and CI– dependent samples

  • Use the calculator

Chapters 8-10 - Make sure you know how to do all of the following

a)Describe in words the population (group you are selecting the sample from)

b)Describe in words the variable or success attribute

c)List all the statistics with the corresponding notation

d)Find the point estimate for the population mean/proportion

e)Write the hypotheses

f)Sketch the graph, shade and label possible locations of the point estimate

g)Run the test in the calculator. Indicate which test you used and write the results

h)Write the conclusion within context

i)Explain how the p-value helped to write the conclusion in part (h)

j)Use the calculator to construct a ___% confidence interval estimate.

k)Interpret the interval in words (We are ___% confident that....

l)What does the interval suggests in reference to the claim being tested?

m)Use the interval to find the margin of error

n)Use the interval to find the point estimate