Question

Hello! I am hoping that someone can provide me with an example for this question. I am supposed to write a confidence interval problem (not solve it) using this option-- "Think about a population mean that you may be interested in and propose a confidence interval problem for this parameter. Your data values should be approximately normal. For example, you may want to estimate the population mean number of times that adults go out for dinner each week. Your data could be that you spoke with seven people you know and found that they went out 2, 0, 1, 5, 0, 2, and 3 times last week. You then would choose to calculate a 95% (or another level) confidence interval for the population mean. Assume a random sample was chosen, which is required to determine a confidence interval."

There are no parameters for this example-- it can be any population mean.

Thank you!

Answer 1

Solution:-

95% confidence interval for the population mean is C.I = ( 0.2175, 3.4968).

$C.I = \bar{x}\pm z_{\alpha /2}\ast \frac{\sigma }{\sqrt{n}}$

C.I = 1.85714 + 2.447*0.67006

C.I = 1.85714 + 1.63964

C.I = ( 0.2175, 3.4968)