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)
Answer:
6x+2
Step-by-step explanation:
Answer:
289/290
Step-by-step explanation:
Given that the chance of Donnell being selected is 1/290
then P( Donnell being selected )= 1/290
Since Donnell and Maria are both member of a population.
from probability theorem which gives the likely hood of an event to happen which cannot be more than 1, then the probability of Donnell and Maria to be selected is 1
P(Donnell and Maria)= 1
But the chance of Donnell being selected is 1/290
Then,
1/290 + P(Maria)= 1
P(Maria)= 1-(1/290)
= 289/290
the chance of Maria being selected is 289/290
3.341 to the nearest tenth is 3.3
