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18.07.2019 •
Mathematics
The mean per capita consumption of milk per year is 140 liters with a standard deviation of 22 liters. if a sample of 233 people is randomly selected, what is the probability that the sample mean would be less than 137.01 liters? round your answer to four decimal places.
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Ответ:
0.0192
Step-by-step explanation:
Given : The mean per capita consumption of milk per year :![\mu=140\text{ liters}](/tpl/images/0105/0892/e4e19.png)
Standard deviation :![\sigma=22\text{ liters}](/tpl/images/0105/0892/179a9.png)
Sample size :![n=233](/tpl/images/0105/0892/ae8a6.png)
Let
be the sample mean.
The formula for z-score in a normal distribution :
For![\overline{x}=137.01](/tpl/images/0105/0892/7915a.png)
The P-value =![P(\overline{x}](/tpl/images/0105/0892/dc66f.png)
Hence, the probability that the sample mean would be less than 137.01 liters is 0.0192 .
Ответ:
C. :)
Step-by-step explanation:
Move all terms not containing
y
y
to the right side of the equation.
−
5
y
=
55
-5y=55
Divide each term by
−
5
-5
and simplify.
y
=
−
11
y=-11