Answer:
She must consider 3507 components to be 90% sure of knowing the mean will be within ± 0.1 mm.
Step-by-step explanation:
We are given that an engineer wishes to determine the width of a particular electronic component. If she knows that the standard deviation is 3.6 mm.
And she considers to be 90% sure of knowing the mean will be within ±0.1 mm.
As we know that the margin of error is given by the following formula;
The margin of error =
Here, = standard deviation = 3.6 mm
n = sample size of components
= level of significance = 1 - 0.90 = 0.10 or 10%
= 0.05 or 5%
Now, the critical value of z at a 5% level of significance in the z table is given to us as 1.645.
So, the margin of error =
0.1 mm =
= 59.22
n = = 3507.0084 ≈ 3507.
Hence, she must consider 3507 components to be 90% sure of knowing the mean will be within ± 0.1 mm.
<span>9
8+4+3 =27
27/ 3= 9
I hope this helps! Enjoy your day!</span>
Right now his test scores average to 78.5 which mean if he wants to get an 80 for the final average, the lowest he can score is 94%
Answer:
<em><u>Multiplicative identity property:</u></em> 1 A = A 1A=A 1A=A
This property says that when you multiply any matrix A by the scalar 1, the result is simply the original matrix A.