A sample of 30 is taken from a population of Inconel weldments. The average thickness is 1.87 inches at a key location on the part. The sample standard deviation is 0.125 inches and will be used as an estimate of population standard deviation. Calculate the 99% confidence interval. (Hint: Z(a/2) is 2.58 for a 99% CI)a. (1.811, 1.929)b. (1.611, 1.729)c. (1.711, 1.829)d. (1.511, 1.629)

a. (1.811, 1.929)

Step-by-step explanation:

We have to find find M as such

In which, z is Z(a/2), is the standard deviation of the population and n is the size of the sample. So

The lower end of the interval is the mean subtracted by M. So it is 1.87 - 0.059 = 1.811.

The upper end of the interval is the mean added to M. So it is 1.87 + 0.059 = 1.929

So the correct answer is:

a. (1.811, 1.929)

statement #3: proof- ang is congruent to ang ecd : angles are congruent.  

step-by-step explanation:

1: the missing angles in statement #3  

a.) acb  

reason- the reason why the answer is acb is because angle ecd and angle acb are both the same size *that's what the word congruent means this is really simple.  

2: the missing word in reason #3  

c.) vertical  

reason- the reason why the answer is vertical is because the angles in that diagram on figure 2 is slanted, which is vertical, and the e and a both lay on vertical lines. along with the other's, but e and a are the 2 main points you want to focus on. and c is kind of like your starting point, because c is for both angles, not just one.  

i hope that was and understanding.