Navel oranges contain an average of 60ml of juice, with a standard deviation of about 30ml....

Navel oranges contain an average of 60ml of juice, with a standard deviation of about 30ml. Taylor, an agricultural researcher, will squeeze a sample of 36 of the oranges.

(a) Describe the sampling distribution of the sample average ¯x of the juice contents. (mean and standard deviation)

. (b) Within what interval would you expect the sample average to lie, with probability 0.9?

c) Calculate the probability with which the sample mean ¯x is less than 57.5 ml.

(d) After the experiment, Taylor would like to make mimosas to share with her colleagues. If the recipe calls for a total of 2.25 liters of orange juice, what is the probability that Taylor will have enough juice to follow the recipe?

Expert Solution

orchestra answered 1 year ago

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