2. Which conditions must hold for inferential procedures to be valid for this scenario? Select all that apply. OA. The histogram of the residuals must be normally distributed. OB. The expected count for each level of the categorical variable must be at least 5. OC. The observations within each sample must be independent. OD. The two sample groups must be independent of each other. DE. The data distribution for both federal and state tax filing times must be normally distributed or each sample size must be larger than 30. 3. Calculate the appropriate test statistic. ? 4. Calculate the p-value using 148.782582 degrees of freedom. p-value = 5. Which of the following is a correct interpretation of the p-value? OA. The p-value is the probability that the mean tax filing times for Federal and Michigan tax returns are equal. OB. The p-value is the approximate proportion of time we would see a difference as extreme as our observed difference or something more extreme in repeated sampling under the null model. OC. The p-value is the power of a hypothesis test if the alternate hypothesis is true. OD. In repeated sampling, we have little evidence that the null hypothesis is a good fit for our observed difference. 6. Use the data to construct a 99% confidence interval for the true difference, u - H2:

1. Consider a sample with data values of 2.20; 1.98; 1.95; 2.27; 2.25; 2,24; 2.31 Compute the mean.

Lightning Deaths Refer to the sample data in Cumulative Review Exercise 1. a. What is the level of measurement of the data (nominal, ordinal, interval, ratio)?  b. Are the values discrete or continuous? c. Are the data categorical or quantitative? d. Is the sample a simple random sample?

. Myers-Briggs: Actors Isabel Briggs Myers was a pioneer in the study of personality types. The following information is taken from MBTI Manual: A Guide to the Development and Use of the Myers-Briggs Type Indicator by Myers and McCaulley (Consulting Psychologists Press). In a random sample of 62 professional actors, it was found that 39 were extroverts. Let p represent the proportion of all actors who are extroverts. Find a point estimate for p. Find a 95% confidence interval for p. Give a brief interpretation of the meaning of the confidence interval you have found. Check Requirements Do you think the conditions np > 5 and nq > 5 are satisfied in this problem? Explain why this would be an important consideration.