Use the following information to answer the next 13 exercises:The data inTable 8.10are 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. LetX= the number of colors on a national flag.

X / Freq.

1/1

2/7

3/18

4/7

5/6

50.Define the random variableXin words.

52.Isxknown?

Construct a 95% confidence interval for the true mean number of colors on national flags.

54.How much area is in both tails (combined)?

56.Calculate the following:

1. lower limit
2. upper limit
3. error bound