How much area is in each tail?

The data in Table 8.2 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.

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X Freq. 1 1 2 7 3 18 4 7 5 6 Table 8.2