spr10_ex1sol

spr10_ex1sol - STA 4322/5328 – Spr/2010 Mini Exam1 PRINT...

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Unformatted text preview: STA 4322/5328 – Spr/2010 Mini Exam1 PRINT NAME _______________ For all problems, the sample mean, sample variance, and sample proportion are: ( 29 ) , ( ~ where : Proportion Sample 1 1 : variance Sample 1 : Mean Sample ^ 1 2 1 p n Bin Y n Y p Y Y n- Y n Y n i i n i i =- = ∑ ∑ = = Q.1: A spectrometer gives readings that are normally distributed with mean equal to the true weight if the object being measured, and a standard deviation of 0.5. Assume repeated measurements are independent. P1.a. If a lab technician makes 4 readings of the spectrometer on a particular item, what is the sampling distribution of the sample mean, the average of the 4 readings? Label the true weight as Y*. = = = 0625 . 4 5 . *, ~ 2 2 Y Y Y N Y σ μ P1.b. What is the probability that the sample mean will lie within 0.2 of the true mean? ( 29 ( 29 ( 29 ( 29 ( 29 ( 29 5762 . ) 2881 (. 2 ) 2119 . 5 . ( 2 8 . 5 . 2 8 . 8 . 0625 . 2 . * 0625 . 2 . 2 . * 2 ....
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This note was uploaded on 03/11/2011 for the course STA 4322 taught by Professor Winner during the Spring '10 term at West Chester.

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spr10_ex1sol - STA 4322/5328 – Spr/2010 Mini Exam1 PRINT...

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