Which of the following correctly describes how the width of a confidence interval for a population mean changes when the population standard deviation is known?

a) There is no change if just the sample size
increases.

b) The interval widens if the sample size decreases and confidence
level stays the same.

c)The interval narrows if the sample size decreases and confidence
level stays the same.

d) The interval widens if the sample size increases and the
confidence level stays the same.

e) The interval widens if the sample size stays the same and
confidence level decreases.

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$2 The Interval narrows, if the sample size increases and Confidence kvel skays the same.Epphnation':Confidence Interval: \bar{x} \pm margin of error (E).where,\text { Margin of ewror }(E)=2 \text { o//2 } \times\left\{\frac{\sigma}{\sqrt{n}}\right\}\bar{x} \rightarrow Sample mean,\mathrm{Za/2}_{2} \rightarrow Confidence level,r \rightarrow population Standard deviation,n \rightarrow Sample size.\therefore As the sample size increases, the margin of error "decreases which intem narrows the width of the Confidence interval for a population mean.Note'r Please give a like. It means a tot to me.Thank you.A s the solution is not given in options we can opt to the close one which is D as it is similar to the answer that we got. I tried my level best to solve this one.Please do give a like and appreciate my work.Your one like means a lot to me and very helpfull in our livelihood.If any case you are having a doubt feel free to comment,ill make sure to clarify ur doubt as soon as possible. Have a nice day and good luck for your bright future. ...