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mathematics
september 2020
17

Mathematics Questions and Answers September 17, 2020

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Twenty-five randomly selected students were asked the number of movies they watched the previous week. The results are as follows. (a) Construct a histogram of the data. Frequency Frequency 10 10 8 8 N N Number of O Number of O 0 1 2 3 4 Movies O 0 1 2 3 4 Movies Frequency Frequency 10 10 8 8 6 A N N Number of 0 Number of O 3 4 Movies O 2 3 4

i) [7 Marks] Suppose that there are ten easy routes up a mountain and five dififcult routes. A hiker has no idea which routes are easy and which are difficult. She takes 6 hikes up the mountain, each time choosing a route at random from the same 15 routes. Showing your reasoning, and the proba- bility that the hiker will choose an easy route on at

2.When the process mean is 0, the process standard deviation is 1, the sample size is 64, and the control distance is 2.56, what is the probability of detecting a mean shift of +0.5 (therefore, the new mean is 0.5, SD unchanged.) To simplify the problem, we assume the population distribution will follow a normal distribution, therefore heuristic

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