A set of data with a mean of 45 and a standard deviation of 8.3 is normally distributed. find the value that is +3 standard devi
2 answers:
Answer:
D. 69.9
Step-by-step explanation:
We have been given that a set of data with a mean of 45 and a standard deviation of 8.3 is normally distributed. We are asked to find the value that is +3 standard deviations away from the mean.
To find the value that is 3 standard deviation away from mean, we will multiply 3 by standard deviation and ad the result to mean.
Therefore, 69.9 is 3 standard deviation away from mean of or given data set and option D is the correct choice.
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Answer:
The Mean is not equal to $31,129.
Step-by-step explanation:
Consider the provided information.
The mean is $31129
Thus, the null hypothesis
Alternative hypothesis
A random sample of 15 firstyear CMAs in Denver produces a mean salary of $32,279, with a standard deviation of $1,797.
Thus the value mean of sample is 32279, standard deviation is 1797 and number of samples are 15.
Now use the 2 sided t-test.
Now substitute the respective values in the above formula.
Test Value = 2.4785 approximately
Now, find the corresponding p-value in your t-table with DF(degree of freedom) 14.
p = 0.0265
as the value of p < 0.05, so you reject null hypothesis.
Thus, the Mean is not equal to $31,129.
Parameterize the intersection by setting 
, so that
The length of the path
is then given by the line integral along ,
where
. We have
and so the line integral is
This result is fortuitous, since we can write
and so the integral reduces to
The length of the path
where
and so the line integral is
This result is fortuitous, since we can write
and so the integral reduces to