Question

If the confidence level is increased from 95% to 99%, will the length of the confidence interval increase, decrease, or remain the same? Explain

Answer 1

ANSWER::

if the confidence level is increased from 95% to 99% then the length of the confidence interval will increase.

[explanation for your clarification:-

because when you are increasing your confidence level it means that you need to be more sure that your population mean will lie within the interval..which suggests more wider interval.

t value for df=5 and 99% ci be= 4.032

then margin of error= (0.1384*4.032)

= 0.558

so your confidence interval be:

=(3.2-0.558 , 3.2+0.558)

= (2.642 , 3.758)

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