Respuesta :
Answer:
Now if the confidence level increase to 95% then the critical value [tex]t_{\alpha/2}[/tex] would increase since if we want more confidence the margin of error need's to increase. And since the width for the confidence interval is given by:
[tex] Width = 2ME[/tex]
And the margin of error is:
[tex]ME=t_{\alpha/2} \frac{s}{\sqrt{n}}[/tex]
Then we can conclude that increasing the confidence level from 90% to 95% the width of the interval would:
B. Increase
Step-by-step explanation:
For this case we can define the variable of interest as the number of units for students at their college and we are interested in a confidence interval for the true mean [tex]\mu[/tex] and for this parameter the confidence interval is given by this formula:
[tex]\bar X \pm t_{\alpha/2} \frac{s}{\sqrt{n}}[/tex]
The confidence interval at 90% of confidence is given:
[tex] 11.93 \leq \mu \leq 12.47[/tex]
Now if the confidence level increase to 95% then the critical value [tex]t_{\alpha/2}[/tex] would increase since if we want more confidence the margin of error need's to increase. And since the width for the confidence interval is given by:
[tex] Width = 2ME[/tex]
And the margin of error is:
[tex]ME=t_{\alpha/2} \frac{s}{\sqrt{n}}[/tex]
Then we can conclude that increasing the confidence level from 90% to 95% the width of the interval would:
B. Increase
