# STA 2023-The max grade for this lab is 110 but

The max grade for this lab is 110 but the scale is still100 points. The 10 points are extra credit. The following video might be helpful:Histograms 000000000000000 In what follows, use any of the following tests/procedures:Regression, multiple regression, confidence intervals, onesided t-test or two-sided t-test. All the procedures should bedone with a 5% P-value or a 95% confidence interval.Upload the data HeartRate_Exercise. These data are basedon 45 randomly chosen high school students.Set-up: It is believed that high school students who do notexercise have a heart rate (at rest) above 70. Given the datayour job is to confirm or disprove this belief.1. What test did you perform?a. One-sided t-testb. Two-sided t-testc. Regressiond. Confidence interval2. What is the P-value/margin of error?a. 1.56075E-45b. 3.1215E-45c. 6.149555d. 8.065421e. None of these3. What is the Statistical interpretation?a. Since the P-value is very small, we are confident thatthe average heart rate is above 70.b. Since the P-value is very small, we are very confidentthat the averages are different.c. Since the P-value is very small, we are confident thatthe slope of regression line is not zero.d. We are 95% certain that the confidence interval is[70.268, 86.399].e. None of these4. What is the conclusion?a. Yes, I am confident that the above assertion iscorrect.b. No, we cannot claim that the above assertion iscorrect. 0000000000000000 In what follows use any of the following tests: Regression,Multiple Regression, one- sided t-test, or two- sided t-test. Allconclusions should be based on a 5% P-value threshold.Choose the best fitting answer.Upload the data HeartRate_Exercise. These data are basedon 45 randomly chosen high school students.Set-up: Is it reasonable to claim that students who exercisemore have a lower heart rate at rest? Given the data yourjob is to confirm or disprove this claim.5. What test did you perform?a. One-sided t-testb. Two-sided t-testc. Regressiond. Confidence interval6. What is the P-value/margin of error?a. 1.56075E-45b. 3.1215E-45c. 6.149555d. 0.014702e. None of these7. What is the Statistical interpretation?a. Since the P-value is very small, we are confident thatthe average heart rate is above 70.b. Since the P-value is very small, we are very confidentthat the averages are different.c. Since the P-value is very small, we are confident thatthe slope of regression line is not zero.d. We are 95% certain that the confidence interval is[72.18, 84.48].e. None of these8. What is the conclusion?a. Yes, I am confident that the above assertion iscorrect.b. No, we cannot claim that the above assertion iscorrect.Task 1: Confidence IntervalsIn what follows use any of thefollowing tests: Regression, Multiple Regression, one- sided ttest, or two- sided t-test. All conclusions should be based on 0000000000000000 0 a 5% P-value threshold. Choose the best fitting answer.Upload the data HeartRate_Exercise. These data are basedon 45 randomly chosen high school students.Set-up: Is it reasonable to claim that students who do notexercise or exercise less than 10 hours a week have a higheraverage heart rate at rest than those who exercise 10 hoursor more a week? Given the data your job is to confirm ordisprove this claim.9. What test did you perform?a. One-sided t-testb. Two-sided t-testc. Regressiond. Confidence interval10. What is the P-value/margin of error?a. 7.064974b. 0.089476c. 0.016303d. 0.032605e. None of these11. What is the Statistical interpretation?a. Since the P-value is very small, the test is conclusive.b. Since the P-value is very small, we are very confidentthat the averages are different.c. Since the P-value is very large, the test isinconclusived. We are 95% certain that the confidence interval is[58.82, 72.95].e. None of these12. What is the conclusion?a. Yes, I am confident that the above assertion iscorrect.b. No, we cannot claim that the above assertion iscorrect.Task 2Using the Random Generator (procedure “Data”?”DataAnalysis” ?”Random Number Generating”) create 5000random numbers with specifications: Number of variables =1; Number of Random Numbers = 5000; Distribution = 0 000 0 Normal; Mean = 100; Standard Deviation = 15. Leave theSeed box empty! Click OK and a 5000 long number columnwill appear.Make bins by typing 50, 60,.…, 150 (see picture below):0 Go to the Histogram box by clicking on “Data” ? “DataAnalysis” ? “Histogram”.Highlight the 5000 data points under the Input range boxand highlight the bins under Bin Range (Careful with Labels:if you choose to highlight labels, then you must activate theLabel box).Click OK and the following Table should appear: 000 Highlight all the outputs (as seen on the picture) and createa chart (Use Bar Chart option under Insert tab): 00In the task that follows, use these charts as a guide todistinguish. Use the charts labeled: Bell Shape, Double Bellshape and Skewed Upload the Tornadoes data, and make the histogram using(highlighting) all 12 columns for months and tornadonumbers. Do not use annual tornadoes and do not usetornado deaths. (Be careful how you choose the bins).Answer the following questions for Assessment:13. The histogram chart should resemble the shape 000 0000 0000000 000000 presented as:a. Bell shapeb. Double-bell shapec. Skewed14. Compute the Median, StDev, and Average for thiswhole data set (i.e., all 12 columns for month andtornado numbers not tornado deaths). Choose thecorrect statement.a. Average < Median < StDevb. StDev < Median < Averagec. StDev < Average < Mediand. Median < Average < StDevUpload the Weight data, make the histogram (careful howyou choose the bins) and answer the following questions:15. The histogram chart should resemble the shapeas:a. Bell shapeb. Double-bell shapec. Skewed16. Compute the Median, StDev, and Average for thiswhole data set. Choose the correct statement.a. Average < Median < StDevb. StDev < Median < Averagec. StDev < Average < Mediand. Median < Average < StDevTutorial AOpen the PreLaw_Nursing data. Set-up: Do Nursing and PreLaw majors have different salaries? Given the data, answerthis question. HINT: Read Lecture 24.17. What would be the correct Null-Hypothesis?a. Nursing and Pre-Law majors have different salaries.b. The population averages are equal.c. Nursing salaries and Pre-law salaries are related.d. Nursing salaries and Pre-law salaries are not related.18. The P-value is 0.0006, what can be statisticallyconcluded?a. We reject the Null Hypothesis.b. We accept the Null Hypothesis. 000000000 c. The test is inconclusive.d. None of the above.19. What would be an appropriate comment?a. We cannot conclude that Nursing and Pre-Law majorshave different salaries.b. We are confident that Nursing and Pre-Law majorshave different salaries.c. We are confident that Nursing salaries influence thePre-Law salaries.d. None of the above.20. Which of the following is NOT a rule of thumb?a. The Null-Hypothesis is always stated with an “equal”sign. Either: The (population) averages are equal, or Theslope of the regression line is equal zero.b. If the P-value is good (typically below 5%), we rejectthe Null-Hypothesis.c. If the P-value is bad (typically above 5%), we acceptthe Null-Hypothesis.d. Mathematically, we can never state: We acceptthe Null-Hypothesis.