C. Find the 99% confidence interval for u. d. What conclusions can you make, based on each estimate?

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ANSWER ONLY C AND D.
4. A sample of 100 Grade 9 students' ages have been obtained to estimate the mean
age of all Grade 9 students. X= 16 years and the population variance is 16.
a. What is the point estimate for u?
- The point estimate of population mean is sample mean = 16
b. Find the 95% confidence interval for u.
The critical value for ? = 0.05 and for two tailed test.
Zc = 1.96
90% C.I = ( x ± Zc x ?/vn)
= ( 16 ± 1.96*4v100)
= ( 15.216, 16.784 )
C. Find the 99% confidence interval for µ.
d. What conclusions can you make, based on each estimate?
Transcribed Image Text:4. A sample of 100 Grade 9 students' ages have been obtained to estimate the mean age of all Grade 9 students. X= 16 years and the population variance is 16. a. What is the point estimate for u? - The point estimate of population mean is sample mean = 16 b. Find the 95% confidence interval for u. The critical value for ? = 0.05 and for two tailed test. Zc = 1.96 90% C.I = ( x ± Zc x ?/vn) = ( 16 ± 1.96*4v100) = ( 15.216, 16.784 ) C. Find the 99% confidence interval for µ. d. What conclusions can you make, based on each estimate?
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