The distribution of the weights of chicken eggs is normal with a mean of 1 ounce

Question

The distribution of the weights of chicken eggs is normal with a mean of 1 ounce and a standard deviation of 0.2 ounce. Eggs classified as "jumbo" sell at a higher price per ounce than other sizes. The heaviest 5% ofall eggs are classified as jumbo. what is the minimum weight for a jumbo egg? 18 1.328 1.296 1.268 1.256 19 In the previous question, what fraction of eggs weigh within ±1.50 standard deviations from the mean weight 0.9426 0.9282 0.9108 0.8664 1.9 20 ounces from the mean Inthe egg-weight question above, 95% ofeggs weigh within ± weight 0.208 0.256 0.328 0.392

Explanation / Answer

18)Z for cumultive probabiity of 0.95 is 1.644853

Value=1+1.644853*0.2= 1.3289

19) Z = -1.5 and +1.5

P(-1.5<z<1.5) = 1-2*0.066807=0.8664

20) 95% of eggs are within 1.958 standard devaitons

95% of eggs weigh within 1.958*0.2 or 0.392 ounces.

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