A random sample of 11 items is drawn from a population whose standard deviation is unknown. The sample mean is x⎯⎯x¯ = 810 and the sample standard deviation is s = 20. Use Appendix D to find the values of Student’s t.
(a) Construct an interval estimate of μ with 98% confidence. (Round your answers to 3 decimal places.)
The 98% confidence interval is from ______ to ________
(b) Construct an interval estimate of μ with 98% confidence, assuming that s = 40. (Round your answers to 3 decimal places.)
The 98% confidence interval is from _______ to ________
(c) Construct an interval estimate of μ with 98% confidence, assuming that s = 80. (Round your answers to 3 decimal places.)
The 98% confidence interval is from ______ to ________
(d) Describe how the confidence interval changes as s increases.
It is given that the sample mean and standard deviation are 810 and 20, respectively. The sample size n is 11.
The formula for finding confidence interval for population mean is shown below:
For 98% confidence level, the value of t_{α/2} at 10 (=11–1) degrees of freedom using Appendix D is 2.764.
a)
The 98% confidence interval is obtained as follows:
The 98% confidence interval is from 793.333 to 826.668.
b)
It is given that sample standard deviation is 40.
The 98%...
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