Let
denote the random variable representing a given number in the total set of numbers. We're told that
of the numbers fall within a given range, so we know
where
is normally distributed with mean 45 and an unknown variance
.
Let's make the transformation to a random variable with a standard normal distribution:
Since
is symmetric, we have
The mean of
is 0, and by symmetry we know that exactly half of the distribution falls to the left of
, so
. We're left with
This probability corresponds to a value of
, which means
Answer:
If she can run a mile per minute it would take her 88 minutes to run 88 mils.
Step-by-step explanation:
Solution :
It is given that the mean and the standard deviation for a sample of 24 domestic cars is 35.696 MPG and 4.931 MPG respectively and the mean and the standard deviation for a sample of 16 cars is 34.345 MPG and 7.118 respectively.
The 90% confidence level for the men difference between the two samples is (-2.906, 2.844).
We know that the confidence interval is calculated to determine the mean difference among the two samples with the specified level of confidence.
Therefore, we can say that with 90% confidence, we have the 90% chances that the true mean differences will be within the range of -2.906 MPG to 2.844 MPG.
Thus, it is required 90% confidence interval interpretation.
Answer: Mason made $185.00
Step-by-step explanation:
For the first 10 suits he made $12.50 each suit, then he made $20 for the additional 3. (Just ignore the "suits part ._.)
250*.05=12.50
250*.08=20
12.50*10=125
3*20=60
125+60=185.
