Question

Young's modulus is a quantitative measure of stiffness of an elastic material. Suppose that for aluminum alloy sheets of a particular type, its mean value and standard deviation are 70 GPa and 1.6 GPa, respectively,

(1) If X is the sample mean Young's modulus for a random sample of n = 16 sheets, where is the sampling distribution of X centered?

QUESTION 7 Young's modulus is a quantitative measure of stiffness of an elastic material. Suppose that for aluminum alloy sheets of a particular type, its mean value and standard deviation are 70 GPa and 1.6 GPa, respectively. (7) Calculate P(69≤ X ≤71) under question part (1)?
Unknown, since the distribution of X is not given.
0.4714
0.9876
1

Answer 1

The sampling distribution of X is centered around the population mean Young's modulus of 70 GPa.

Step-by-step explanation:

The sampling distribution of X (the sample mean Young's modulus for a random sample of n = 16 sheets) is centered around the population mean Young's modulus, which is 70 GPa. This means that the mean value of the sample means will be equal to the population mean, 70 GPa.