Question

Assume that we want to construct a confidence interval. Do one of the following, as appropriate: (a) find the critical value t_α/2. (b) find the critical value Z_α/2, or (C) state that neither the normal distribution nor the distribution applies. 

The confidence level is 95%, o is not known, and the histogram of 56 player salaries in thousands of dollars) of football players on a team is as shown. 

Select the correct choice below and, if necessary, fill in the answer box to complete your choice. 

A. t_α/2 = (Round to two decimal places as needed.) 

B. Z_α/2 = (Round to two decimal places as needed.) 

C. Neither the normal distribution nor the t distribution applies. 

Answer 1

Answer:

c. Neither the normal distribution nor the t distribution applies.

Explanation:

Firstly here population standard deviation $\sigma$ is not known , so we can not use Normal distribution.

Now we konw that the histogram of both normal and t distribution is Symmetric and having range from $-\infty$ to $\infty$ As like below:

Histogram of data 04 03 Density 02 0.1 0.0 LEN 2 CS Scan Scanned with CamScanner data

In our question histogram is not symmetric, still if we consider that this histogram displays only postive side and if negative side diplayed then it will be symmetric. But it is important to see that Salary will never be negative, and hence there will not be negative side of histogram.(i.e neither normal nor t distribution)