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07.01.2021 •
Mathematics
The average fuel efficiency of U.S. light vehicles (cars, SUVs, minivans, vans, and light trucks) for 2005 was 21 mpg. If the standard deviation of the population was 2.9 and the gas ratings were normally distributed, what is the probability that the mean mpg for a random sample of 25 light vehicles is Under 20
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Ответ:
The probability that the mean mpg for a random sample of 25 light vehicles is 0.042341
Calculation:Here we used z score formula
z = (x-μ)/σ/n, wherex is the raw score = 20 mpgμ is the population mean = 21 mpgσ is the population standard deviation = 2.9n = random number of samplesSo,
For x < 20
= z = 20 - 21/2.9/√25
= z = -1/2.9/5
= z = -1.72414
Now
P-value from Z-Table:
P(x<20) = 0.042341
Learn more about the probability here: link
Ответ:
0.042341
Step-by-step explanation:
We solve using z score formula
z = (x-μ)/σ/n, where
x is the raw score = 20 mpg
μ is the population mean = 21 mpg
σ is the population standard deviation = 2.9
n = random number of samples
Hence:
For x < 20
= z = 20 - 21/2.9/√25
= z = -1/2.9/5
= z = -1.72414
P-value from Z-Table:
P(x<20) = 0.042341
The probability that the mean mpg for a random sample of 25 light vehicles is Under 20 mpg is 0.042341
Ответ:
(3,0) and (0,6)
Step-by-step explanation:
(x,y) is the only way to make ordered pair.
The x was a 3 so you could cross out the first and last because they put the 3 in the y spot. When is should be (3,0).
Then the y was 6 and that I would be (0,6) so the third would also be crossed out because they put the 6 in the y spot.
So the answer is (3,0) and (0,6).