Answer: 90% confidence interval is; ( - 0.0516, 0.3752 )
Step-by-step explanation:
Given the data in the question;
n1 = 72, n2 = 17
P1 = 54 / 72 = 0.75
P2 = 10 / 17 = 0.5882
so
P_good = 0.75
P_bad = 0.5882
standard ERRROR will be;
SE = √[(0.75×(1-0.75)/72) + (0.5882×(1-0.5882)/17)]
SE = √( 0.002604 + 0.01424)
SE = 0.12978
given confidence interval = 90%
significance level a = (1 - 90/100) = 0.1, |Z( 0.1/2=0.05)| = 1.645 { from standard normal table}
so
93% CI is;
(0.75 - 0.5882) - 1.645×0.12978 <P_good - P_bad< (0.75 - 0.5882) + 1.645×0.12978
⇒0.1618 - 0.2134 <P_good - P_bad< 0.1618 + 0.2134
⇒ - 0.0516 <P_good - P_bad< 0.3752
Therefore 90% confidence interval is; ( - 0.0516, 0.3752 )
Answer:
410.5 yards cubed
Step-by-step explanation:
Volume of a cone is 1/3Bh
h is the height of the cone
B is the area of the base, which is a circle, so use πr^2 to find area of the circle
The radius is 7, so:
π7^2
π49(8)(1/3) = 410.5
Then he slept 9 times. Because every hour is 60 minutes, since 1/3 of an hour is 20 mins, it should be 3 times per hour. So using basic math, 3 times 3 equals 9
18 times 4 = 72
Both started with 72 Martha sold more
