Question

A machine used to fill cans of Campbell’s tomato soup (low salt) has the following characteristics: µ = 12 ounces and s = .5 ounces.

a. Depict graphically the sampling distribution of all possible values of , where is the sample mean (point estimator) for 30 cans selected randomly by a quality control inspector.

b. What is the probability of selecting a sample of 36 cans with a sample mean greater than 12.2 ounces?

Answer 1

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we have M=12 Se 0-5 a) Sample (F) is Then by central limit theorem mean for ao cans follow normal distribution X~ N( Mg %) YNNCH, 0.25%) ÀN NE ME 2, 0.09²) 1 z=0a TL 12 21.1 b) Now, suppose n= 36 NCKE 12, 0 (0%)) -6 (7-12) a NcOil) 0.5 probability that sample mean greater than 12.2 ounies is -|- PC Z ? 6 (12:2-12) - 1-PC2E214) amans er 0-0082 - 0.9918 = 0:0082 PCF> 12+2) = 1- PC F $ 12:2) FILI