Answer:
The new confidence interval become wider.
Step-by-step explanation:
We are given the following in the question:
[tex]n_1 = 85\\n_2 = 35[/tex]
Confidence interval:
[tex]\mu \pm (\text{Test statistic})\dfrac{\sigma}{\sqrt{n}}[/tex]
Putting values, we get:
[tex]C_1:\\\\\mu \pm (\text{Test statistic})\dfrac{\sigma}{\sqrt{85}}\\\\C_2\\\\\mu \pm (\text{Test statistic})\dfrac{\sigma}{\sqrt{35}}[/tex]
So, as the sample size decreases the margin of error increases.
With increase in margin of error the width of the confidence interval increases, thus the confidence interval become wider.
