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Sagot :
The value of 27 is within 95% confidence interval because it is greater than 26.7 and less than 29.3.
What is a confidence interval?
In statistics, a confidence interval is a range to estimate for unknown terms.
The most common level is the 95% confidence interval.
It can be calculated by
CI = Mean ± margin of error.
α = 1 - 0.95 = 0.05
α/2 = 0.025
z(0.025) = 1.96
We need to find the [tex]\frac{\sigma}{\sqrt{n} }[/tex]
[tex]\frac{5}{\sqrt{60} }[/tex] = 0.645
So,
[tex]z \times \frac{\sigma}{\sqrt{n} }[/tex] = 1.96 × 0.645
CI =1.26
C.I= 28±1.2652
Upper limit = 28+1.2652
=29.2625
Lower limit =28-1.2652
=26.7348
Hence, The value of 27 is within 95% confidence interval because it is greater than 26.7 and less than 29.3.
Learn more about confidence intervals;
https://brainly.com/question/12899226
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