7.36 Please Simplify. or answer with steps as to how you achieve the answers to

Question

7.36

Please Simplify. or answer with steps as to how you achieve the answers to the solutions as im trying to learn the steps to these formulas still

population ot the estmiates of all ecosomists? Is it necessarily true that the mean of the popula- tion of estimates of all cconomists is equal to the percentage of tax savings that will actually be achieved? Why? 7.36 Paper Strength A manufacturer of paper used for packaging requires a minimum strength of 1400 g/em. To check on the quality of the paper, a random sample of 10 pieces of paper is selected each hour from the previous hour's production and a strength measurement is recorded for each. The standard deviation or of the strength measure- ments, computed by pooling the sum of squares of deviations of many samples, is known to equal 140 glem2, and the strength measurements are normally distributed a. What is the approximate sampling distribution of the sample mean of = 10 test pieces of paper? b. If the mean of the population of strength measurements is 1450 g/em2, what is the approximate probability that, for a random sample of n = 10 test pieces of paper, x

Explanation / Answer

a) Normal distribution

b) We have to find 'z' score first

z = (1400 - 1450)/140/10 = - 1.13

P(z < -1.13) = 0.1292

c) We have to find '' so that P = 0.001

First find z score for this probability from normal table.

z = - 2.32

So,

(1400 - )/140/10 = - 2.32

= 1502.71

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