Which statements about points A, B and C check all that apply
2 answers:
You might be interested in
Answer:
The 99% confidence interval estimate of the population mean is between 125.3 and 137.7. This means that we are 99% sure that the true population mean, that is, the mean blood pressure of all second-year medical students, is in this interval.
Step-by-step explanation:
The first step is finding the sample mean, which is the sum of all 14 blood pressures, divided by 14. So
Confidence interval:
We have that to find our level, that is the subtraction of 1 by the confidence interval divided by 2. So:
Now, we have to find z in the Ztable as such z has a pvalue of .
That is z with a pvalue of , so Z = 2.575.
Now, find the margin of error M as such
In which is the standard deviation of the population and n is the size of the sample.
The lower end of the interval is the sample mean subtracted by M. So it is 131.5 - 6.2 = 125.3
The upper end of the interval is the sample mean added to M. So it is 131.5 + 6.2 = 137.7
The 99% confidence interval estimate of the population mean is between 125.3 and 137.7. This means that we are 99% sure that the true population mean, that is, the mean blood pressure of all second-year medical students, is in this interval.