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A hydraulic press is operating correctly when the standard deviation of the pressure is less than 120 pounds-per-square-inch (psi).Suppose you take a random sample of 15 measurements throughout the day of the psi and find the standard deviation to be 148.Suppose you want to test whether the press is operating correctly.
-Rosanne is the floor manager at Yesbe Beauty Products,who takes care of the face cream section.One of her tasks is to make sure that the face cream mini packs weigh four ounces (4.0)on average.Assume that the standard deviation of the weight of the mini packs is known to be 0.1 ounces.Rosanne tasks one of her employees to choose 25 packs at random and find the average weight.For what values would Rosanne tell the employee to reject the production,if she wanted the probability of a Type I error to be 0.10 or less?
A)Reject the production if the average weight

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The Next Questions Are Based On The Following Information:
A hydraulic press is operating correctly when the standard deviation of the pressure is less than 120 pounds-per-square-inch (psi).Suppose you take a random sample of 15 measurements throughout the day of the psi and find the standard deviation to be 148.Suppose you want to test whether the press is operating correctly.
-Rosanne is the floor manager at Yesbe Beauty Products,who takes care of the face cream section.One of her tasks is to make sure that the face cream mini packs weigh four ounces (4.0)on average.Assume that the standard deviation of the weight of the mini packs is known to be 0.1 ounces.Rosanne tasks one of her employees to choose 25 packs at random and find the average weight.For what values would Rosanne tell the employee to reject the production,if she wanted the probability of a Type I error to be 0.10 or less?
A)Reject the production if the average weight < 3.955.
B)Reject the production if the average weight < 3.975.
C)Reject the production if the average weight < 3.965.
D)Reject the production if the average weight < 3.985.

Quizplus · Accepted Answer

To find the range of values for rejection, we need to use the formula:
Z = (x̄ - μ)/(σ/√n)
Here, n = 25, σ = 0.1, μ = 4.0
For a Type I error probability of 0.10 or less, the corresponding Z value would be -1.28 or less.
So, -1.28 = (x̄ - 4)/(0.1/√25)
Solving for x̄, we get:
x̄ = 3.975
Therefore, Rosanne should reject the production if the average weight is less than 3.975 ounces.

The Next Questions Are Based on the Following Information