(4)

If you were to carry out the procedure here, are the conditions for using a theoretical dist'n strictly met, according to our Statistical Formula document?

In manufacturing plant A, we want to find a 95% confidence interval for the population proportion of defective items. In a sample of size 200, we find 12 defective items.

Yes

Either they might be considered to meet the conditions after additional investigation or No

(6)

If you were to carry out the procedure here, are the conditions for using a theoretical dist'n strictly met, according to our Statistical Formula document?

In manufacturing plant C, we want to test the claim that the proportion of defective items coming out of the process is greater than 0.04. In a sample of size 200, we find 12 defective items.

Yes

Either they might be considered to meet the conditions after additional investigation or No

(7)

If you were to carry out the procedure here, are the conditions for using a theoretical dist'n strictly met, according to our Statistical Formula document?

In the ExerciseHours dataset, test the claim that the population mean exercise hours differs for males and females.

Yes

Either they might be considered to meet the conditions after additional investigation or No

(9)

If you were to carry out the procedure here, are the conditions for using a theoretical dist'n strictly met, according to our Statistical Formula document?

In the CocaineTreatment dataset, test whether the two variables are associated.

Yes

Either they might be considered to meet the conditions after additional investigation or No

(10)

If you were to carry out the procedure here, are the conditions for using a theoretical dist'n strictly met, according to our Statistical Formula document?

In the RestaurantTips dataset, test whether the mean PercentTip for the servers are different.

Yes

Either they might be considered to meet the conditions after additional investigation or No

(11)

Consider the FootballBrain dataset with its three categories: No football, football with no concussion, football with concussion.

a. Investigate whether these is s significant difference in mean hippocampus volume among the three categories.

i. Give appropriate comparative graphs.

ii. Test appropriate hypotheses using a randomization test.

iii. Do the data strictly meet the conditions for using a theoretical distribution to test these hypotheses?

b. Investigate whether there is a difference in mean cognition between the two categories of football players.

(Hint: Try to use the FootballBrain dataset as it is provided in StatKey before trying something that involves editing the dataset.)

i. Give appropriate comparative graphs.

ii. Test appropriate hypotheses using a randomization test. (Hint: You will find this MUCH easier if you first try to use the FootballBrain dataset as it is provided in StatKey before trying something that involves editing the dataset. Discuss that in Piazza as needed.)

iii. Do the data strictly meet the conditions for using a theoretical distribution to test these hypotheses?

Is the test in part b ii. significant at the 5% significance level?

Yes

No

(12)

Benford's law has various uses, including in auditing. Read about it in the Lock text, Sec. 7.1 in exercise 7.33 (3rd ed) and close to that is the other editions.

Or read about Benford's law on Wikipedia.

Look at the StatKey dataset Benford. It has the probabilities for Benford's law and two different datasets.

Which of the two different sets of data included in that file is inconsistent with the probabilities given by Benford's law? What does that suggest about the situation from which the other set of data was collected?

To submit this, simply answer this question "Which of the two different sets of data included in that file is inconsistent with the probabilities given by Benford's law?

To submit this, simply answer this question "Which of the two different sets of data included in that file is inconsistent with the probabilities given by Benford's law?

Addresses

Invoices

(13)

In the RestaurantTips dataset, is there an association between the Day of the week and whether the bill was paid by a credit card or not? Use the 10% significance level.

Yes

No

(15a)

15.a. In the StudentSurvey dataset, students chose which of the 3 awards they would prefer to win: Olympic medal, Nobel Prize, or Academy Award. The dataset also includes a column HigherSAT indicating the part of the SAT in which the student made a higher score. Using exactly that column of values, test the claim that there is an association between the type of award a student prefers and their value in that HigherSat data column. Use a theoretical dist'n.

What is the value of the test statistic? Give the required numerical answer using 3 decimal places.

(15b)

15b. In the StudentSurvey dataset, students chose which of the 3 awards they would prefer to win: Olympic medal, Nobel Prize, or Academy Award. The dataset also includes a column HigherSAT indicating the part of the SAT in which the student made a higher score. Using exactly that column of values, test the claim that there is an association between the type of award a student prefers and their value in that HigherSat data column. Use a theoretical dist'n.

Find the p-value for the test. Give the required numerical answer using 3 decimal places.

(16a)

16a. In the TextbookCosts dataset, the variable Cost is the "Total Cost (in dollars) per course for the required books." Test the claim that there is a difference in the average of the Cost variable in the several "fields" of study. Do this using a theoretical dist'n.

What is the value of the test statistic? Give the required numerical answer using 3 decimal places.

(16b)

16b. In the TextbookCosts dataset, the variable Cost is the "Total Cost (in dollars) per course for the required books." Test the claim that there is a difference in the average of the Cost variable in the several "fields" of study. Do this using a theoretical dist'n.

Find the p-value for the test. Give the required numerical answer using 3 decimal places.