STAT 116 Review 1

pdf

School

Camosun College *

*We aren’t endorsed by this school

Course

116

Subject

Statistics

Date

Feb 20, 2024

Type

pdf

Pages

Uploaded by MateKookaburaPerson921

1 STAT 116 002 and 003 Review #1 Chapters 1, 2, 8 1. Which of the following correctly describes the relationship between a sample and a population? A. A population and a sample are not related. B. A sample is a group of populations that are subject to observation. C. A sample is a group of subjects selected from a population to be studied. D. A population is a group of samples that may or may not be included in a study. 2. 2 . What level of measurement allows for the ranking of categorical data? A. discrete B. continuous C. ordinal D. nominal 3. 3 . The amount of time needed to run the Boston marathon is an example of which type of variable? A. temporal B. discrete C. continuous D. qualitative 4. 4 . Determine which of the following describes qualitative data. i). the volume of a shipping container, in gallons ii). the name of the material from which the container is made iii). the shape of the container A. i and iii only B. i, ii, and iii C. i and ii only D. ii and iii only 5. When rolling two six-sided dice, your total roll ranges from 2 (double ones) to 12 (double sixes). Characterize the nature of the roll total. A. quantitative and continuous B. qualitative and discrete C. qualitative and continuous D. quantitative and discrete 6. What type of sampling is being employed if the country is divided into economic classes and a sample is chosen from each class to be surveyed? A. stratified sampling B. cluster sampling C. systematic sampling D. random sampling 7. Which of the following sample types should you always regard as unreliable? A. simple random samples B. stratified samples C. voluntary response samples D. cluster samples 8. If a researcher manipulates one of the variables and tries to determine how the manipulation influences other variables, the researcher is conducting a(n) A. independent study. B. observational study. C. confounding study. D. experimental study. 9. Which of the following best defines the relationship between confounding, dependent, and independent variables? A. The influence of the confounding variable cannot be separated from the influence of the dependent variable.

2 B. The confounding variable influences the dependent variable, but is not separated from the independent variable. C. The confounding variable may cause the dependent variable to act independently. D. The confounding variable influences the independent variable, but has no effect on the dependent variable. 10. Which of the following is the best description of a double-blind experiment? A. an experiment in which both the investigators and the subjects are hidden from the others' views B. an experiment in which neither the investigators nor the subjects know how the treatments have been assigned C. an experiment in which the subjects are blindfolded so they cannot see which treatment is applied to them 1 4 . 11 Examine the scatter plot and identify the type of relationship, if any, that corresponds to the graph. A. Positive linear relationship B. Negative linear relationship C. Nonlinear relationship D. No relationship 12. One hundred students are shown an eight-digit number on a piece of cardboard for three seconds and are asked to then recite the number from memory. The process is repeated until the student accurately recites the entire number from memory. The following histogram presents the number of trials it took each student to memorize the number. How many students memorized the number in three trials or less?

3 13. Construct a bar chart or Pareto chart for the following distribution: 14. Find the mean, mode, median, sample variance, and sample standard deviation for the following data set: 12, 15, 18, 18, 15, 22, 15, 30, 12. 15. In a unimodal, symmetrical distribution as shown in the figure below, A. the mean, the median, and the mode are different. B. the mean is the same as the median, but the mode can be different. C. the median and the mode are the same, but the mean can be different. D. the mean, the median, and the mode are the same. 16. A student has an average of 78 on seven chapter tests. If the student's scores on six of the tests are 72, 82, 84, 66, 68, and 89, what was the score on the remaining test? Show your work. 17. Adam and Taylor both take Stat 116 at the same time but they have different instructors. Their test 1 marks and their class marks statistics are as follows: Adam : x = 87, class mean µ1 = 74, class standard deviation σ1 = 13 Taylor : y = 85, class mean µ2 = 70, class standard deviation σ2 = 15 . Which of them, Adam or Taylor, has a better standing in their classes 18. For the following data set: 24, 15, 34, 92, 68, 34, 78, 45, 53, 67, 83, 46 a) Find the five-number-summary scores. b) Identify any outliers. Show all work. c) Make a boxplot. Make sure to label the boxplot properly. c) Describe the shape of the distribution based on the boxplot (shape, centre, spread). 19. If the correlation coefficient is 0.790, what percent of the variation in y can be explained using the linear model with x? 20. A researcher wishes to determine whether a person's monthly income is related to the person's age. Age, x 28 50 38 28 40 35 55 22 Income, y 2500 3600 3100 2100 2600 2200 3000 1800 a) Draw a scatter plot, using Age as the independent variable. b) Comment on the nature of the relationship.

Your preview ends here

Eager to read complete document? Join bartleby learn and gain access to the full version

Access to all documents
Unlimited textbook solutions
24/7 expert homework help

4 c) Compute the correlation coefficient between Age and Income, r, and state what your obtained correlation value means. Does your computed r value match with what’s shown in the Excel Regression Analysis Output below? d) Compute the linear regression equation using Age to predict income. Does your equation agree with what’s shown in the Excel Regression Analysis Output above? e) Identify and describe, in the context of this problem, the meaning of the slope of the regression equation. f) Use the obtained regression equation to predict the income of 22 years old people. g) Find the residual of the prediction made for 22 years old people. h) Identify the value in the Excel Regression Analysis Output that represents the “proportion of variation in Income that is accounted for by Age.” i) Based on the residual plot given in the Excel output, comment on whether or not the regression equation obtained in d) is valid. Make sure to comment on both the normality and the constant variance conditions. Excel Regression Analysis Output

STAT 116 Review 1

Related Documents