A. A population of values has a normal distribution with μ=12.8μ=12.8 and σ=7σ=7. You intend to...

A. A population of values has a normal distribution with μ=12.8μ=12.8 and σ=7σ=7. You intend to draw a random sample of size n=11n=11.

Find the probability that a single randomly selected value is less than 12.
P(X < 12) = Incorrect

Find the probability that a sample of size n=11n=11 is randomly selected with a mean less than 12.
P(M < 12) =

B. A manufacturer knows that their items have a lengths that are skewed right, with a mean of 7.6 inches, and standard deviation of 1.1 inches.

If 39 items are chosen at random, what is the probability that their mean length is greater than 7.8 inches?

c. You measure 49 watermelons' weights, and find they have a mean weight of 45 ounces. Assume the population standard deviation is 2.8 ounces. Based on this, construct a 90% confidence interval for the true population mean watermelon weight.

Give your answers as decimals, to two places

please do it step by step including the formula. which table we have to use

thanks

Expert Solution

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orchestra answered 2 years ago

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