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.
Step-by-step explanation:
Hypothesis - Statement following the word 'Íf'
Conclusion - Statement after the word 'Then'
26. If you are a basketball player, then you are at least 5’9” tall.
Hypothesis - If you are a basketball player
Conclusion - then you are at least 5’9” tall.
27. If three points lie on a line, then they are collinear.
Hypothesis - If three points lie on a line
Conclusion - then they are collinear.
28. If you are 13 years old, then you are a teenager.
Hypothesis - If you are 13 years old
Conclusion - then you are a teenager.
29. 9x=36 implies x=4.
Hypothesis - 9x=36
Conclusion - x=4
30. A =+~ B only if mA =+~mB
Hypothesis - if mA =+~mB
Conclusion - A =+~ B
Answer:
You need more data
Step-by-step explanation:
Your answer for this is C