Answer:
95% confidence interval for the mean number of months is between a lower limit of 6.67 months and an upper limit of 25.73 months.
Step-by-step explanation:
Confidence interval is given as mean +/- margin of error (E)
Data: 5, 15, 12, 22, 27
mean = (5+15+12+22+27)/5 = 81/5 = 16.2 months
sd = sqrt[((5-16.2)^2 + (15-16.2)^2 + (12-16.2)^2 + (22-16.2)^2 + (27-16.2)^2) ÷ 5] = sqrt(58.96) = 7.68 months
n = 5
degree of freedom = n-1 = 5-1 = 4
confidence level (C) = 95% = 0.95
significance level = 1 - C = 1 - 0.95 = 0.05 = 5%
critical value (t) corresponding to 4 degrees of freedom and 5% significance level is 2.776
E = t×sd/√n = 2.776×7.68/√5 = 9.53 months
Lower limit of mean = mean - E = 16.2 - 9.53 = 6.67 months
Upper limit of mean = mean + E = 16.2 + 9.53 = 25.73 months
95% confidence interval is (6.67, 25.73)
6, the formula is (b1+b2/2)*h
8+12/2=10
10*h=60 so h=6
The capacity of a building is 222,500 tons
Answer:
19.5 miles per hour
Step-by-step explanation:
We need to change 20 minutes to hours
1 hours = 60 minutes
20 minutes * 1 hour/60 minutes = 1/3 hour
To find miles per hour we take the miles and divide by hours
6.5 miles
---------------- = 19.5 miles per hour
1/3 hours
7 x 
times 14.6 x
<em>Multiply 7 and 14.6 and add exponents</em>
Final Answer 102.2 and
hope that helps :)
