Exam 3 Review Lab_Summer

.docx

School

Pennsylvania State University *

*We aren’t endorsed by this school

Course

200

Subject

Statistics

Date

Jun 18, 2024

Type

docx

Pages

3

Uploaded by AdmiralDangerNightingale45

EXAM 3 REVIEW LAB Statistics 200: Lab Activity for Exam 3 Review Learning objectives review the basics of statistical inference with theory-based distributions identify the advantages of using the paired data procedure determine the decision for a two-tailed hypothesis test from an appropriately constructed confidence interval Activity 1: Do flexible work schedules reduce the demand for resources? The Lake County, Illinois, Health Department experimented with a flexible four-day workweek. For a year, the department recorded the mileage driven by 11 field workers on an ordinary five-day workweek. Then it changed to a flexible four-day workweek and recorded mileage for another year 1 . The data is available in WorkWeekData file. 1. Are the two samples independent or paired? Research Question: Does the data suggest that the four-day workweek would change the average number of miles that workers drive? Independent 2. What statistical procedure should be used to answer this research question? What distribution will be used to obtain the p-value? Do we need to create a graph to determine if the normality condition is met in this instance? T distribution confidence interval , mu1-mu2 3. Write out the hypotheses that correctly match the statement found in the research question when using correct notation and considering of order or samples: five-day workweek (1 st sample) and four-day workweek (2 nd sample). H 0 : Mu d = 0 H a : muD=/0 4. What is the sample estimate for the parameter? Include proper notation and value. 982 5. What is the p-value for this hypothesis test? Have we found statistical significance? After you make this decision, which error is now possible? 0.017, have found signifigance. Possible type 2 error 6. Can we conclude cause and effect has been found? Do we need to consider possible confounding variables? 7. Interpret the 95% confidence interval for the parameter in context. 216-1748 1/7/21 © - Pennsylvania State University
EXAM 3 REVIEW LAB 8. Does the 95% confidence interval and p-value provide the same conclusion? Would we find the same conclusion at 90% confidence? Note: You should be able to answer this question without using Minitab Yes yes 9. Use the 95% confidence interval to consider practical significance (importance). When considering the current price of gas, does it appear the four-day workweek would be financially beneficial to this health department which has a very limited budget? yes 10. Was the paired t procedure successful in removing variation when using the differences? Include reasoning. yes 1 Charles S. Caitlan, “Four-day Week Improves Environment, Journal of Environment Health , Denver, 59:7, 1997. Activity 2: Commute In Atlanta Data from the US Census Bureau’s American Housing Survey (AHS) contains information about housing and living conditions for samples from certain metropolitan areas. These data were extracted from respondents in the Atlanta metropolitan area prior to the pandemic. They include 500 cases that worked somewhere other than home. Variables include both the commute time (in minutes) and distance typically traveled (in miles) on their daily commute to work each day as well as age and sex. The data* is available in AtlantaCommute file. 1. Use Minitab to calculate a 98% confidence interval to estimate the population daily commute time in minutes. 26.948-31.272 2. If we planned to use this confidence interval to determine the decision for a two-sided hypothesis test, what significance level would we use for the hypothesis test? .02 3. Now, using that significance level and your confidence interval as a guide, which of the below hypothesis tests would have a significant result? (there may be more than one result that would be significant). Table 1 Hypotheses for Hypothesis Test Significant Result at α = H 0 : µ = 30 minutes H a : µ ≠ 30 minutes no H 0 : µ = 26 minutes H a : µ ≠ 26 minutes Yes reject null H 0 : µ = 32 minutes H a : µ ≠ 32 minutes Yes rej H 0 : µ = 31 minutes H a : µ ≠ 31 minutes No H 0 : µ = 28 minutes H a : µ ≠ 28 minutes no 1/7/21 © - Pennsylvania State University
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
Recommended textbooks for you
Text book image
Glencoe Algebra 1, Student Edition, 9780079039897...
Algebra
ISBN:9780079039897
Author:Carter
Publisher:McGraw Hill
Text book image
Big Ideas Math A Bridge To Success Algebra 1: Stu...
Algebra
ISBN:9781680331141
Author:HOUGHTON MIFFLIN HARCOURT
Publisher:Houghton Mifflin Harcourt
Text book image
College Algebra (MindTap Course List)
Algebra
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:Cengage Learning
SEE MORE TEXTBOOKS
Recommended textbooks for you
Text book image
Glencoe Algebra 1, Student Edition, 9780079039897...
Algebra
ISBN:9780079039897
Author:Carter
Publisher:McGraw Hill
Text book image
Big Ideas Math A Bridge To Success Algebra 1: Stu...
Algebra
ISBN:9781680331141
Author:HOUGHTON MIFFLIN HARCOURT
Publisher:Houghton Mifflin Harcourt
Text book image
College Algebra (MindTap Course List)
Algebra
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:Cengage Learning
SEE MORE TEXTBOOKS