The National Center for Drug Abuse is conducting a study to determine if the heroin usage among teenagers has changed. Historically, about 1.3 percent of teenagers have used heroin one or more times. In a recent study of 1800 teenagers, 35 said they had used heroin one or more times. Is there significant evidence that heroin usage among teenagers has changed? What concerns do you have about this data?

Suppose we roll a fair 6 sided die with the numbers [1,6] written on them. After the first die roll we roll the die ? times where ? is the number on the first die roll. The number of points you score is the sum of the face-values on all die rolls (including the first). What is the expected number of points you will score?

A 99% confidence interval for a population mean was reported to be 154 to 158. If 15, what sample size was used in this study? (Round your answer to next whole number.)

A hospital director is told that 35%35% of the treated patients are uninsured. The director wants to test the claim that the percentage of uninsured patients is under the expected percentage. A sample of 120120 patients found that 3030 were uninsured. Determine the decision rule for rejecting the null hypothesis, H0H0, at the 0.020.02 level.

Please note that for all problems in this course, the standard cut-off (alpha) for a test of significance will be .05, and you always report the exact power unless SPSS output states p=.000 (you’d report p<.001). Also, remember that we divide the p value in half when reporting one-tailed tests with 1 – 2 groups.

12. Paste the relevant SPSS output, including post hocs if necessary. (2 pts)

13. Create the most appropriate graph for this data given the results. (2 pts)

14. Write an APA-style Results section based on your analysis. All homework “Results sections” should follow the examples provided in the presentations and textbooks. They should include the statistical statement within a complete sentence that mentions the type of test conducted, whether the test was significant, and if relevant, effect size and/or post hoc analyses. Don’t forget to include a decision about the null hypothesis. (4 pts)

During the recent primary elections, the democratic presidential candidate showed the following pre-election voter support in Alabama and Mississippi.

We want to determine whether or not the proportions of voters favoring the Democratic candidate were the same in both states. Conduct a full hypothesis test using the p-value approach at 92% confidence

2. Discuss the statistical significance of the model as whole using the appropriate regression statistic at a 95% level of confidence.
3. Discuss the statistical significance of the coefficient for the independent variable using the appropriate regression statistic at a 95% level of confidence.
4. Interpret the coefficient for the independent variable.

What percentage of the observed variation in a person’s income is explained by the model?

5. Predict the value of a person’s income who is 45 years old, using this regression model.

Stephanie's judges try thousands of cases per year. In an overwhelming majority of the cases disposed, the verdict stands as rendered. However, some cases are appealed, and of those appealed, some of the cases are reversed. Kristen DelGuzzi of the Cincinnati Enquirer conducted a study of the cases handled by Stephanie judges over a three-year period. Shown in Table below are the result for cases handled (disposed) by 4 judges in Ken's Court. The purpose of the newspaper’s study was to evaluate the performance of the judges. Appeals are often the result of mistakes made by judges, and the newspaper wanted to know which judges were doing a good job and which were making too many mistakes. You have been called in to assist in the data analysis. Use your knowledge of probability and conditional probability to help with the ranking of the judges. Prepare a report with your rankings of the judges. Also, include an analysis of the likelihood of appeal and case reversal in the court.

1. The probability of cases being appealed and reversed in the Ken's Court.

2. The probability of a case being appealed for each judge.

3. The probability of a case being reversed for each judge

4. The probability of reversal given an appeal for each judge.

5. Rank the judges. State the criteria you used and provide a rationale for your choice.

Helena judges try thousands of cases per year. In an overwhelming majority of the cases disposed, the verdict stands as rendered. However, some cases are appealed, and of those appealed, some of the cases are reversed. Kristen DelGuzzi of the Cincinnati Enquirer conducted a study of the cases handled by Gelena judges over a three-year period. Shown in Table below are the result for cases handled (disposed) by 4 judges in Domestic Relations Court. The purpose of the newspaper’s study was to evaluate the performance of the judges. Appeals are often the result of mistakes made by judges, and the newspaper wanted to know which judges were doing a good job and which were making too many mistakes. You have been called in to assist in the data analysis. Use your knowledge of probability and conditional probability to help with the ranking of the judges. Prepare a report with your rankings of the judges. Also, include an analysis of the likelihood of appeal and case reversal in the court.

1. The probability of cases being appealed and reversed in the Domestic Relations Court.

2. The probability of a case being appealed for each judge.

3. The probability of a case being reversed for each judge

4. The probability of reversal given an appeal for each judge.

5. Rank the judges. State the criteria you used and provide a rationale for your choice.

The table below gives the list price and the number of bids received for five randomly selected items sold through online auctions. Using this data, consider the equation of the regression line, yˆ=b0+b1xy^=b0+b1x, for predicting the number of bids an item will receive based on the list price. Keep in mind, the correlation coefficient may or may not be statistically significant for the data given. Remember, in practice, it would not be appropriate to use the regression line to make a prediction if the correlation coefficient is not statistically significant.

Table

Copy Data

Step 1 of 6 :  

Find the estimated slope. Round your answer to three decimal places.

a. Write the regression equation.

b. Discuss the statistical significance of the model using the appropriate regression statistic at a 95% level of confidence.

c. Discuss the statistical significance of the coefficient for the independent variable using the appropriate regression statistic at a 95% level of confidence.

d. Interpret the coefficient for the independent variable.

e. What percentage of the observed variation in income is explained by the model?

f. Predict the value of a person’s income using this regression model with 16 years of education.

Briefly explain in words the relationship between the nonresponse rate and the bias of nonresponse for an estimate of the population mean.

Your leader wants you to evaluate the difference in cycle time between three different offices. Describe the steps you would take in the evaluation in order to provide a report so the leader can take action. Justify your response using what you learned from the topic materials. We learned about One-Way ANOVA and or w-TukeyKramer.

Formula=IF(RAND()>0.5,T.INV(RAND(),10)-2,T.INV(RAND(),10)+2

Use the excel spreadsheet to simulate 1000 samples of size 25 by copying cells C:3 through C:27 and pasting into rows 3 through 27 in the adjacent columns. For each sample calculate the sample mean. Then in row 28 you obtain a sample of sample means. If you copy and paste these into the column “sample of sample means” (starting with cell c:31) then the histogram counts will be automatically produced. (Using copy special and the “values” and “transpose” options.) Plug these counts into a bar chart to get a histogram. Submit only your histogram. Then create a second histogram by using only observations 1 through 8 for each sample (instead of using all 25 observations). How do the two histograms differ?

Let X be the number of heads in two tosses of a fair coin. Suppose a fair die is rolled X+1 times after the value of X is determined from the coin tosses. Let Y denote the total of the face values of the X+1 rolls of the die. Find E[Y | X = x] and V[Y | X = x] as expressions involving x. Use these conditional expected values to find E[Y] and V[Y].