1 = 20 (24-4(1)=20)
2 = 16 (24-4(2)=16)
5 = 4 (24-4(5)=4)
6 = 0 (24-4(6)=0)
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: C
Step-by-step explanation: i just did this test
<span>The following choices may have a negative correlation: - speed of a car and minimum stopping distance - average running speed and total race time - outside temperature and amount of a heating bill
<span>Theses factors may yield negative results depending on the variables that will be present in a controlled experiment.</span></span>
The slope would be the same as that of the given line, and when plugging in (-3,0) into the new equation, you’ll find the y-intercept. If you could give the original given line equation I’d be happy to show you!
