Given that 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.

a. if x is the sample mean young's modulus for a random sample of n = 16 sheets, the sampling distribution of x centered at 70 gpa, and the standard deviation of the x distribution is given by

b. if x is the sample mean young's modulus for a random sample of n = 64 sheets, the sampling distribution of x centered at 70 gpa, and the standard deviation of the x distribution is given by

a)

b)

Step-by-step explanation:

The standard deviation of the sample is the standard deviation of population divided by the square root of the length of the sample.

In this problem, we have that:

Suppose that for aluminum alloy sheets of a particular type, its mean value and standard deviation are 70 GPa and 1.6 GPa, respectively. This means that .

a.If X is the sample mean Young's modulus for a random sample of n = 16 sheets, the sampling distribution of X centered at 70 GPa, and the standard deviation of the X distribution is given by

b. If X is the sample mean Young's modulus for a random sample of n = 64 sheets, the sampling distribution of X centered at 70 GPa, and the standard deviation of the X distribution is given by

arrange the equations with like terms in columns.

analyze the coefficients of x or y.

add the equations and solve for the remaining variable.

substitute the value into either equation and solve.

check the solution.

step-by-step explanation:

answer: 16

step-by-step explanation: first you would add 6+6 which equals 12 then add 2+2 which equals 4. then add 12 + 4 which is 16.

hope this ^_^