Question

(20 Points) A family of 6 holds a ceremony. to determine each child's favorite Teenage Mutant Ninja Turtle. The ceremony involves each Child's results of choosing 10 numbers out of a hat. If Raphael, Michelangelo, Donatello, and Leonardo are represented with the numbers 1, 2, 3, and 4, respectively, which Teenage Mutant Ninja Turtle would become the favorite of a Child having the following results? Construct a 90% confidence interval estimate of the mean to develop the reasoning for your answer. 2 2 1 4 3 3 3 3 4 1

Answer 1

confidence interval estimate of the mean:

`\bar{x}-z_{(\alpha)/(2)}\frac{\sigma}{\sqrt[]{n}}<\mu<\bar{x}+z_{(\alpha)/(2)}\frac{\sigma}{\sqrt[]{n}}`

where for a 90% confidence level: