Question

The data in the Table are the result of a random survey of $39$national flags (with replacement between picks) from various countries. We are interested in finding a confidence interval for the true mean number of colors on a national flag. Let $X=$the number of colors on a national flag.

$\begin{array}{|cc|}\hline \mathit{X}& \text{Freq.}\\ 1& 1\\ 2& 7\\ 3& 18\\ 4& 7\\ 5& 6\\ \hline\end{array}$

As a result of your answer to Exercise$8.52$, state the exact distribution to use when calculating the confidence interval.

Short answer

The distribution is$t_{39-1}=t_{38}$$t_{39-1}=t_{38}$

Step-by-step solution

Given Information

The data in the Table are the result of a random survey of $39$national flags (with replacement between picks) from various countries.

$\begin{array}{|cc|}\hline \mathit{X}& \text{Freq.}\\ 1& 1\\ 2& 7\\ 3& 18\\ 4& 7\\ 5& 6\\ \hline\end{array}$

Explanation

Mean is nothing but the average of the given set of values. It denotes the equal distribution of values for a given data set.. It's the most generally used measure of central tendency and is often referred to as the average.

The distribution needed for this problem is $t$distribution with parameters $t_{n-1}$Since the number of flags surveyed is $39$.