Sqrt(0.32)*(2sqrt(800)-3sqrt(1800))
1 answer:
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Answer:
The 99% confidence interval is (3.0493, 3.4907).
We are 99% sure that the true mean of the students Perry score is in the above interval.
Step-by-step explanation:
Our sample size is 21.
The first step to solve this problem is finding our degrees of freedom, that is, the sample size subtracted by 1. So
.
Then, we need to subtract one by the confidence level and divide by 2. So:
Now, we need our answers from both steps above to find a value T in the t-distribution table. So, with 20 and 0.005 in the two-sided t-distribution table, we have
Now, we find the standard deviation of the sample. This is the division of the standard deviation by the square root of the sample size. So
Now, we multiply T and s
Then
The lower end of the interval is the mean subtracted by M. So:
The upper end of the interval is the mean added to M. So:
The 99% confidence interval is (3.0493, 3.4907).
Interpretation:
We are 99% sure that the true mean of the students Perry score is in the above interval.
The values of and
are
and
, respectively.
In this question we need to solve the linear equation for each point, first for and later for
.
If we know that , then the value of
is:
If we know that and
, then the value of
is:
The values of and
are
and
, respectively.
To learn more on linear functions, we kindly invite to check this question: brainly.com/question/5101300