Answer:
a) 95% confidence interval estimate of the true weight is (3.026, 3.274)
b) 99% confidence interval estimate of the true weight is (2.944, 3.356)
Step-by-step explanation:
Confidence Interval can be calculated using M±ME where
- M is the mean of five successive weightings (3.150)
- ME is the margin of error from the mean
And margin of error (ME) can be calculated using the formula
ME= where
- t is the corresponding statistic in the given confidence level and degrees of freedom(t-score)
- s is the standard deviation of the random error (0.1)
Using the numbers 95% confidence interval estimate of the true weight is:
3.150±≈3.150±0.124
And 99% confidence interval estimate of the true weight is:
3.150±≈3.150±0.206
2×9= 18
18÷9= 2
Answer: 2 cups of fruit punch.
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Explanation: so, you divide. why do I know this? because it doesn't say "times," (multiplication word) "more than," (addition word) "less than/ left over." (subtraction word) so what your looking for is "equally," and "each."
So, can you do 2÷9? no, you cant. so you have to multiply 2×9 to get the answer. and what's the answer? 18!
so, now, can you divide 18÷9? yes!! why? because you can only divide big numbers like 18. and you can't divide small numbers like 2 or 9. do you get what I'm saying?
so, what's 18÷9? 2!!
I hope this helps! :) if you still don't understand it just please let me know :)
Here are the answers for the HW:
The probabilities of at least 10 are repairable is 1/3. and probabilities of from 3 to 8 are repairable is 1/5*8/15 and probabilities of exactly 5 are repairable is 1/3.
According to the statement
we have given that If 15 actuators have failed and we have to find the probabilities on some conditions.
we know that the formula of probabilities is
probability = possible outcomes / total outcomes
So,
- at least 10 are repairable = 1 - (10 are not repairable)
at least 10 are repairable = 1 - 10/15
at least 10 are repairable = (15 - 10)/15
at least 10 are repairable = (5)/15
at least 10 are repairable = 1/3
- from 3 to 8 are repairable = 3/15 *8/15
from 3 to 8 are repairable = 1/5 *8/15
- exactly 5 are repairable = 5/15
exactly 5 are repairable = 1/3
These are the probabilities of the given conditions.
So, The probabilities of at least 10 are repairable is 1/3. and probabilities of from 3 to 8 are repairable is 1/5*8/15 and probabilities of exactly 5 are repairable is 1/3.
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