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Sagot :
Answer:
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
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, 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
So,
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: https://brainly.com/question/795909?referrer=searchResults
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