A survey found that the American family generates an average of 17.2 pounds of g

Question

A survey found that the American family generates an average of 17.2 pounds of glass garbage each year. Assume the standard deviation of the distribution is 2.5 pounds. Find the probability that the mean of a sample of 54 families will be between 16.8 and 17.8 pounds. Assume that the sample is taken from a large population and the correction factor can be ignored. Round your final answer to four decimal places and intermediatez-value caleulations to two decimal places. Souree: Michael D. Shook and Robert L. Shook, The Book of Odds. P(16.8

Explanation / Answer

here std error of mean =std deviation/(n)1/2 =2.5/(54)1/2 =0.3402

hence P(16.8<X<17.8) =P(-1.18<Z<1.76) =0.9608-0.1190 =0.8418

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