A statistician randomly sampled 20 observations from a population. The descriptive statistics are given below: n = 20, ¯X=25, s = 4 You are required to estimate the population mean with 95 percent confidence. Please answer the following questions: (Note that t0.025=2.093 and Z0.025=1.96) The point estimate of the population mean (μ) is (type the value here):= Answer. The appropriate confidence interval is Answer because Answer and we Answer. Compute 95 percent confidence interval and type the values of lower confidence limit and upper confidence limit below (round up to two decimal places).
I. A statistician randomly sampled 20 observations from a population. The
n = 20, ¯X=25, s = 4
You are required to estimate the population mean with 95 percent confidence. Please answer the following questions: (Note that t0.025=2.093 and Z0.025=1.96)
- The point estimate of the population mean (μ) is (type the value here):= Answer.
-
The appropriate confidence interval is Answer because Answer and we Answer.
- Compute 95 percent confidence interval and type the values of lower confidence limit and upper confidence limit below (round up to two decimal places).
-
Lower Confidence Limit:= Answer,
-
Upper Confidence Limit:= Answer,
II. Now the statistician takes a random sample of 20 observations from another population. The descriptive statistics are given below:
n = 20, ¯X=25, σ = 4
You are required to estimate the population mean with 95 percent confidence. Please answer the following questions: (Note that t0.025=2.093 and Z0.025=1.96)
-
The appropriate confidence interval is Answer because Answer and we Answer.
- Compute the 95 percent confidence interval and type the values of lower confidence limit and upper confidence limit below (round up to two decimal places).
-
Lower Confidence Limit:=
-
Upper Confidence Limit:=
III. From the confidence
The t-interval estimated is wider than z-interval. The extent to which t-distribution is more spread out than the z-distribution is determined by
Trending now
This is a popular solution!
Step by step
Solved in 3 steps with 2 images
