Answer:
d) 65.9 in < μ < 67.1 in.
Step-by-step explanation:
Given that a 99% confidence interval (in inches) for the mean height of a population is 65.7 < μ < 67.3
Mean = average of 65.7 and 67.3 = [tex]66.5[/tex]
i.e. here margin of error =[tex]67.3-66.5=0.80[/tex]
For 99% confidence interval critical value is 2.58
Hence std deviation = [tex]\frac{0.8}{2.58}[/tex]
For 95% confidence interval critical value is 1.96
Margin of error = [tex]1.96*\frac{0.8}{2.58}\\=0.607752[/tex]
Hence confidence interval = [tex](66.5-0.6, 66.5+0.6)\\= (65.9, 67.1)[/tex]
d) 65.9 in < μ < 67.1 in. is right
