Answer:
99% confidence interval for the mean blood cholesterol of rats is between 72.66 milligrams per deciliter of blood and 97.34 milligrams per deciliter of blood
Step-by-step explanation:
Confidence Interval = mean (x) + or - margin of error (e)
e = t×s/√n
s = 12, n = 10, degree of freedom = n-1 = 10-1 = 9, t-value corresponding to 9 degrees of freedom and 99% confidence level is 3.250
e = 3.250×12/√10 = 12.34
Lower bound = x - e = 85 - 12.34 = 72.66
Upper bound = x + e = 85 + 12.34 = 97.34
99% confidence interval is (72.66, 97.34) milligrams per deciliter of blood
Answer: 85 +/- 9.79
= ( 75.21, 94.79)
Therefore at 99% confidence interval (a,b) = ( 75.21, 94.79)
Step-by-step explanation:
Confidence interval can be defined as a range of values so defined that there is a specified probability that the value of a parameter lies within it.
The confidence interval of a statistical data can be written as.
x+/-zr/√n
Given that;
Mean gain x = 85
Standard deviation r = 12
Number of samples n = 10
Confidence interval = 99%
z(at 99% confidence) = 2.58
Substituting the values we have;
85 +/-2.58(12/√10)
85+/-2.58(3.795)
85 +/- 9.79
= ( 75.21, 94.79)
Therefore at 99% confidence interval (a,b) = ( 75.21, 94.79)
