The risk of an investment is measured in terms of the variance in the return that could be observed. Random samples of 10 yearly returns were obtained from two different portfolios. The data are given below (in thousands of dollars.) Portfolio 1 130  135  135  131  129  135  126  136  127  132 Portfolio 2 154  144  147  150  155  153  149  139  140  141 What is 95% confidence interval on the ratio of the variances of the two portfolios. Interpret your answer.

In hypothesis testing, if the null hypothesis is rejected, _____.

Retaining a false null hypothesis results in a type II error.

A goodness of fit test checks to see if the data came from some specified population or distribution.

The F-distribution is takes values between ____ and ________

I ran an analysis of variance test, below is the incomplete output table.  Sum of Squares Degrees of freedom Mean square F-value p-value Between 427 2 C. E. F. Within A. 18 D. Total 1160 B. Based on the value of F. (the p-vlaue), If I test at alpha=0.05 significant level, then I would 

I ran an analysis of variance test, below is the incomplete output table.  Sum of Squares Degrees of freedom Mean square F-value p-value Between 427 2 C. E. F. Within A. 18 D. Total 1160 B. Find F.

ANOVA involves making inferences about differences between population or treatment means by comparing 

The Dean of Students at ACME University wants to estimate the proportion of students who cheated on a major exam. Previous studies at other universities indicate this proportion is less than 65.7% How many students does the Dean need to select in the sample in order to be 95% confident that the sample proportion is within two percentage points of the actual proportion who cheated, if the Dean thinks ACME students have more integrity than students at other universities. (Hint: Don’t use 0.657 in your calculations)

Employers want to know which days of the week employees have the highest num- ber of absences in a five-day work week. Most employers would like to believe that employees are absent equally during the week. Suppose a random sample of 60 managers are asked on which day of the week they had the highest number of employee absences. The results are recorded in the table below.  Day of the week Monday Tuesday Wednesday Thursday Friday Observed Frequency 15 11 10 9 15 At the 5% significance level, do we have enough evidence to suggest that the day of the week with the highest number of absences occur with equal frequency during a five-day work week.