Answer:
For this problem we know that the confidence level is 90% so then we can find the significance level with:
[tex]\alpha=1-0.90 = 0.1[/tex]
Then the value of [tex]\alpha/2=0.05[/tex] and we can find a quantile who accumulate 0.05 of the area on each tail of the normal standard distribution and for this case the critical values are:
[tex]z_{\alpha/2}= 1.64[/tex]
Step-by-step explanation:
For this problem we know that the confidence level is 90% so then we can find the significance level with:
[tex]\alpha=1-0.90 = 0.1[/tex]
Then the value of [tex]\alpha/2=0.05[/tex] and we can find a quantile who accumulate 0.05 of the area on each tail of the normal standard distribution and for this case the critical values are:
[tex]z_{\alpha/2}= 1.64[/tex]
