Chapter 8: Q. 53 (page 480)

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.
$\begin{matrix} X & Freq. \\ 1 & 1 \\ 2 & 7 \\ 3 & 18 \\ 4 & 7 \\ 5 & 6 \end{matrix}$
As a result of your answer to Exercise $8.52$ , state the exact distribution to use when calculating the confidence interval.

Short Answer

Expert verified

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.

$\begin{matrix} X & Freq. \\ 1 & 1 \\ 2 & 7 \\ 3 & 18 \\ 4 & 7 \\ 5 & 6 \end{matrix}$

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 $39$ .

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