Answer:
a) 74.0353 < u < 74.0367
b) 74.036 < u
Step-by-step explanation:
Given:
- Sample size n = 15
- Standard deviation s.d = 0.0001 in
- Sample mean x_bar = 74.036
Find:
A) Calculate the 99% two-sided confidence interval on the true mean piston diameter.
Solution:
- For 99% CI, We have a = 0.01 , and Z_a/2 = 2.58
------> (x_bar - Z_a/2*s.d / sqrt(n)) < u < (x_bar + Z_a/2*s.d / sqrt(n))
------> (74.036 - 2.58*0.0001 / sqrt(15)) < u < (74.036 + 2.58*0.0001 / sqrt(15))
------> 74.0353 < u < 74.0367
Find:
B) Calculate the 95% one-sided lower confidence interval on the true mean piston diameter.
Solution:
- For 95% lower CI, We have a = 0.05 , and Z_a = 1.645
------> (x_bar - Z_a/2*s.d / sqrt(n)) < u
------> (74.036 - 1.645*0.0001 / sqrt(15)) < u
------> 74.036 < u
What we know: Lucy's snake eat's 2 mice a week.
To find the answer, you'll have to multiply 2 by 6.
So, since Lucy's snake eats 2 mice a week for 6 weeks.
To find the amount of mice her snake has eaten in the past 6 weeks you'll have to multiply 2 and 6.
2x6=?
------------------------------------------------------------------
The first week the snake ate 2 mice.
The second week the snake ate 2 mice.
The third week the snake ate 2 mice.
The fourth week the snake ate 2 mice.
The fifth week the snake ate 2 mice.
The sixth week the snake ate 2 mice.
Your answer would be: 12
Answer: c
Step-by-step explanation: 4/1 x 1/3 = 4/3
X = 71 degrees
And here is a sentence to fill the minimum word rule
The 2 smallest lengths in a triangle have to add up to be greater that the longest side of the triangle. In this case, the longest side is 20. The 2 smallest sides are 5 and 10. 5+10=15, but 15<20. This is why these 3 lengths can’t create a triangle.
