You have been contracted from a company to do a study. From previous experience with the populations, it is known that the variance for population 1 is 100 and the variance for population 2 is 64. You decide to collect 100 samples from population 1 and found that the mean was 70. You also take 100 samples from population 2 and the mean of that sample is 68. The company has told you that they believe there is a difference in means. a.) Conduct a hypothesis test to find if there is any difference in means with alpha

1 number

if we use a graphing calculator, there is only one such number that satisfies the conclusion of the mean value theorem, that is, a number such that

where the right-hand side is the average rate of change of f on the interval [0.5,0.75], which is the slope of the secant line.

in the attached graph, the black line is the secant line which has its slope as the average rate of change of f on [0.5,0.75], while the orange line is the only tangent line to the graph of f in the interval that satisfies the mvt conclusion.

answer: yes, since the line has a steeper rate of change than the exponential the y-values will be greater and they will only intersect one time.

the football players are volunteering for the test.

happy to

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