Answer:
The 95% confidence interval estimate for the population mean life of compact fluorescent light bulbs in this shipment is between 7,255 hours and 7,745 hours.
Step-by-step explanation:
We have that to find our 
level, that is the subtraction of 1 by the confidence interval divided by 2. So:
Now, we have to find z in the Ztable as such z has a pvalue of 
.
So it is z with a pvalue of 
, so 
Now, find the margin of error M as such
In which 
is the standard deviation of the population and n is the size of the sample.
The lower end of the interval is the sample mean subtracted by M. So it is 7500 - 245 = 7255 hours.
The upper end of the interval is the sample mean added to M. So it is 7500 + 245 = 7745 hours.
The 95% confidence interval estimate for the population mean life of compact fluorescent light bulbs in this shipment is between 7,255 hours and 7,745 hours.
Answer:add 3+5+7
Step-by-step explanation:
Answer:
$140,000
Step-by-step explanation:
Value of lottery = $1,500,000
Man's ratio = 41
Wife's ratio = 34
Total ratio = 41 + 34 = 75
Man's share = Man's ratio / Total ratio * Value of lottery
= 41/75 * $1,500,000
= 0.5466666666666 * $1,500,000
= $820,000
Wife's share = wife's ratio / total ratio * Value of lottery
= 34/75 * $1,500,000
= 0.4533333333333 * $1,500,000
= $680,000
Difference between the man's share and his wife's share
= Man's share - wife's share
= $820,000 - $680,000
= $140,000
Answer:
800.000 + 10.000 + 0.000 + 0.400 + 0.030 + 0.005
Answer:the candidate polled 216000 votes
Step-by-step explanation:
The total number of votes(both valid and invalid) is 600000. 10% of the total number of votes were declared invalid. This means that the total number of invalid votes is
10/100× 600000 = 0.1×600000 = 60000 votes. Total number of valid votes = 600000 - 60000 = 540000.
If a candidate got 40% of the valid votes, it means that the total number of votes that the candidate got would be
40/100×540000 = 0.4 × 540000 = 216000 votes
