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# problemset8solution - PAM 210 Lecture 1 Problem Set#8...

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PAM 210 Lecture 1 Problem Set #8 Posted: Monday, 7 th of April, 2008 Due: Monday, 14 th of April, 2008 #1) The mean yield of corn in the US is about 120 bushels per acre. A survey of 40 farmers this year gives a sample mean yield of x = 123.8 bushels per acre. We want to know whether this is good evidence that the national mean this year is not 120 bushels per acre. Assume that the farmers surveyed are an SRS from the population of all commercial corn growers and that the standard deviation of the yield in this population is σ = 10 bushels per acre. We want to test: H 0 : μ = 120 H a : μ 120 Give the z value and its P-value. Round your z-value to two decimal places and its P-value to four decimal places, if necessary. Do you reject H 0 at the 5% level? Ans.(25 points total) 4 . 2 4033 . 2 40 / 10 120 8 . 123 / 0 = - = - = n x z σ μ . (8 points) Since this a two-sided test (since the alternative hypothesis is two-sided), therefore the P-value is = ) 4 . 2 ( * 2 |) | ( * 2 = Z P z Z P From table A, 0082 . 9918 . 1 ) 4 . 2 ( = - = Z P So the P-value= 2*.0082=.0164

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problemset8solution - PAM 210 Lecture 1 Problem Set#8...

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