Questions 18-20 are related 18 The distribution of the weights of chicken eggs i

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Questions 18-20 are related 18 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% of all eggs are classified as jumbo. What is the minimum weight for a jumbo egg? a 1.328 b 1.296 c 1.268 d 1.256 19 In the previous question, what fraction of eggs weigh within ±1.50 standard deviations from the mean weight. a 0.9426 b 0.9282 c 0.9108 d 0.8664 -1.9 20 In the egg-weight question above, 95% of eggs weigh within ±______ ounces from the mean weight. a 0.208 b 0.256 c 0.328 d 0.392 Questions 18-20 are related 18 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% of all eggs are classified as jumbo. What is the minimum weight for a jumbo egg? a 1.328 b 1.296 c 1.268 d 1.256 19 In the previous question, what fraction of eggs weigh within ±1.50 standard deviations from the mean weight. a 0.9426 b 0.9282 c 0.9108 d 0.8664 -1.9 20 In the egg-weight question above, 95% of eggs weigh within ±______ ounces from the mean weight. a 0.208 b 0.256 c 0.328 d 0.392

Explanation / Answer

#18.
mean = 1, sd = 0.2
for upper 5%, z-value = 1.6448
Using central limit theorem
xbar = 1 + 1.6448*0.2 = 1.33

Option A (1.328)

#19.
P(0.7 < X < 1.3)
= P(-1.5 < z < 1.5)
= P(z < 1.5) - P(z < 1.5)
= 0.933 - 0.067
= 0.866

Option d

#20.
mean = 1, sd = 0.2
z-value = 1.96

z*sd = 1.96 * 0.2 = 0.392
Option d

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