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Mathematics > A-Level Question Paper > MATH 110 Module 5 Exam _Statistics (Portage learning) (All)

MATH 110 Module 5 Exam _Statistics (Portage learning)

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Module 5 Exam Exam Page 1 Suppose that you take a sample of size 18 from a population that is not normally distributed. Can the sampling distribution of xxbe approximated by a normal probability d ... istribution? No, the sampling distribution of xbar cannot be approximated by a normal probability distribution because the population is "not normally" distributed and the sample size is less than 30. Answer Key Exam Page 3 Suppose that in a large hospital system, that the average (mean) time that it takes for a nurse to take the temperature and blood pressure of a patient is 170 seconds with a standard deviation of 40 seconds. What is the probability that 20 nurses selected at random will have a mean time of 165 seconds or less to take the temperature and blood pressure of a patient? u = 170 o = 40 n = 20 xbar = 165 xbar - u = 165 - 170 = -5 oxbar = o / √n 40 / √20 = 8.94 z = ((xbar - u) / oxbar) ( -5 / 8.94) = -0.559 = -0.56 look on chart ---> 0.2877 P(Z < -0.56) = 0.2877 0.2877 probability that if 20 nurses were selected at random, that they would have a mean time of 165 seconds or less in time spent taking a patients temp. and b/p. Answer Key [Show More]

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