Respuesta :
Answer:
b. becomes narrower.
Step-by-step explanation:
Since the 95% confidence interval for a population mean could find out from 100 to 120
And based on this, the coefficient confidence level is declined to 0.90
Therefore the confidence interval for mean should become narrowed
As a 95% confidence interval represents narrower and 99% confidence interval represents wider
Therefore the option B is correct
Using confidence interval concepts, the correct option is:
b. becomes narrower
The margin of error of a confidence interval is given by:
[tex]M = z\frac{s}{\sqrt{n}}[/tex]
In which:
- z is the critical value.
- s is the standard deviation.
- n is the sample size.
The lower the confidence level, the lower the value of z, hence, the margin of error decreases and the interval becomes narrower, which means that option b is correct.
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