Probability of the sample mean, Basic Statistics

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Probability of the sample mean

From trials conducted during breeding a variety of corn, it was found that the height of the population of plants follows a normal distribution with µ = 145 cm ? = 22 cm

a. If the total population is 3096 corn plants, about how many plants are between 135 and 155 cm tall?

b. What are the 30th and 80th percentile for height?

c. If a sample of 20 plants is taken, what is the probability that the sample mean height is between 140 and 150 cm?

d. If we sample 15 individuals, what is the probability of the sample mean being > 110 cm?

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Basic Statistics: Probability of the sample mean

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