The F-test of the randomized block design of the analysis of variance requires that the random variable of interest must be normally distributed and the population variances must be equal. When the random variable is not normally distributed, we can use:

A) one-way ANOVA
B) two-way ANOVA
C) chi-square test
D) binomial square test
E) Friedman test

Sam invested $3,000 at 3.5% compounded quarterly. After one year, the rate changed to 3.75% compounded semi-annually. How much will Sam have two years after the initial investment?

Data were obtained in a study of the oxygen uptake of 31 middle-aged-males and females while exercising.The researchers were interested in the use of a variety of variables as predictors of Oxygen Uptake.The variables that were measured on the subjects were Age,Weight,the time taken to run a specified distance (Runtime) ,pulse rate at the end of the run (RunPulse) ,their resting pulse rate (RstPulse) ,and their maximum pulse rate during the run (MaxPulse) .The following table from a computer analysis of the data is provided (with some entries deleted and replaced by _**) . In the above computer output we note that the t ratio for the variable RunPulse is -3.04,with a P-value of 0.0056.What is the best interpretation of this result?

A) The small P-value suggests that the variable RunPulse is not a significant predictor of Oxygen Uptake.
B) There is strong evidence that RunPulse is an important variable.
C) When assessing the value of variables for predicting Oxygen Uptake,the variable RunPulse by itself is very important.
D) The small P-value suggests that the variable RunPulse is statistically significant when all the other predictor variables are included in the regression equation.
E) The regression equation should include RunPulse since it is a statistically significant variable.

In the ice skating competition in the Winter Olympics, each skater's score is the average of the different judges' ratings. However, before this average is calculated, the lowest and the highest ratings among the judges are discarded. Which of the following is a reason why these scores are discarded?

A) to eliminate the effect of outliers
B) to change the mode of the distribution
C) to increase the variability of judges' ratings
D) to make the distribution more flat

Data are always numbers.

Find $(g\circ f)(3)$ where $f(x)=5x+2$ and $g(x)=x-5$ .

A) 12
B) 15
C) -28
D) -8
E) -34

{Socialist Voters Narrative} Test the hypotheses at the 5% significance level.