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Describe T-Distributions. -In a Metal Fabrication Process, Metal Rods Are Produced to Produced

Question 12

Multiple Choice

Describe t-distributions.
-In a metal fabrication process, metal rods are produced to a specified target length of
15 feet. Suppose that the lengths are normally distributed. A quality control specialist
Collects a random sample of 16 rods and finds the sample mean length to be 14.8 feet and
A standard deviation of 0.65 feet. Which of the following statement is true?


A) The sampling distribution for the sample mean follows the t-distribution with 16 degrees of freedom.
B) The sampling distribution for the sample mean follows the t-distribution with 15 degrees of freedom.
C) The mean of the sampling distribution for the sample mean is 14.8 feet.
D) The sampling distribution for the sample mean is Normal with a mean of 14.8 feet and standard deviation of .65 feet.
E) The standard error is 0.65 feet.

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