In an experiment to compare the tensile strengths of I = 6 different types of copper wire, J = 5 samples of each type were used. The average between group and average within group estimates were computed as MSTr = 2616.3 and MSE = 1106.2, respectively. Often hypothesis tests are conducted using what is referred to as the rejection region method. This compares the calculated F test statistic to an F value that cuts off a "rejection region". If the calculated test statistic falls within the rejection region, the null is rejected. The F value that represents the cut off for the rejection region, is the F value that cuts off the top α% of area in an F distribution with I-1 and I(J-1) degrees of freedom. In other words, if α = 0.05, the F rejection region cut off will be the 95th percentile from the appropriate F distribution.

One side of a rectangle is 7 feet shorter than seven times the other side. find the length of the shorter side if we also know that the perimeter of the rectangle is 306 feet.

The table shows population statistics for the ages of best actor and best supporting actor winners at an awards ceremony. the distributions of the ages are approximately bell-shaped. compare the z-scores for the actors in the following situation. best actor best supporting actor muequals42.0 muequals49.0 sigmaequals7.3 sigmaequals15 in a particular year, the best actor was 59 years old and the best supporting actor was 45 years old. determine the z-scores for each. best actor: z equals best supporting actor: z equals (round to two decimal places as needed.) interpret the z-scores. the best actor was (more than 2 standard deviations above more than 1 standard deviation above less than 1 standard deviation above less than 2 standard deviations below) the mean, which (is not, is) unusual. the best supporting actor was (less than 1 standard deviation below more than 1 standard deviation above more than 2 standard deviations below more than 1 standard deviation below) the mean, which (is is not) unusual.

What is always true when two whole numbers are subtracted?