Sam computed a 90% confidence interval for μ from a specific random sample of size n. he claims that at the 90% confidence level, his confidence interval contains μ. is this claim correct? explain.

Given that Sam computed a 90% confidence interval for μ from a specific random sample of size n. He claims that at the 90% confidence level, his confidence interval contains μ.

Yes, Sam’s claim is correct as a confidence interval has the meaning that a % likelihood exists the population mean is within the interval.

Question:

Find the value of x and the value of y.

A.

x = 15, y = 10

B.

x = 20, y = 50

C.

x = 50, y = 10

D.

x = 50, y = 20

The image of the degrees of angles is attached below:

Option C: is the value of x and y

Explanation:

Since, we know that the vertically opposite angles are equal.

From the figure, the angles and are equal.

       

-----------(1)

And the angles and are equal.

         -----------(2)

Substituting in the equation , we get,

     

     

     

     

Thus, the value of y is

Substituting in the equation , we have,

   

           

Thus, the value of x is

Therefore, the value of x and y are and

Hence, Option C is the correct answer.