In green bay and appleton, wisconsin, the average height of hemlock trees is normally distributed within each city. lilith is trying to determine if one town’s trees are taller than the other town’s trees before deciding where to start her tree farm. her horticultural knowledge reveals that the standard deviation of the height of similar types of trees is the same everywhere in wisconsin. so she conducts a test to compare the two populations assuming the same variance within each city. in green bay, lilith sampled 100 trees and found that the average height of trees is 20 feet. in appleton, she also sampled 100 and found that the average height is 21 feet. in the pooled sample, the estimated standard deviation is 2 feet. what is the absolute value of the t-statistic if the null hypothesis is that the difference between the appleton and green bay trees height is exactly 3 feet?

The formula for the lateral area of a right cone is la = rs, where r is the radius of the base and s is the slant height of the cone.which are equivalent equations?

What number line represents the solution set for the inequality -1/2 greater than or equal to 4

Aprisoner is trapped in a cell containing three doors. the first door leads to a tunnel that returns him to his cell after two days of travel. the second leads to a tunnel that returns him to his cell after three days of travel. the third door leads immediately to freedom. (a) assuming that the prisoner will always select doors 1, 2 and 3 with probabili- ties 0.5,0.3,0.2 (respectively), what is the expected number of days until he reaches freedom? (b) assuming that the prisoner is always equally likely to choose among those doors that he has not used, what is the expected number of days until he reaches freedom? (in this version, if the prisoner initially tries door 1, for example, then when he returns to the cell, he will now select only from doors 2 and 3.) (c) for parts (a) and (b), find the variance of the number of days until the prisoner reaches freedom. hint for part (b): define ni to be the number of additional days the prisoner spends after initially choosing door i and returning to his cell.