Question

In: Statistics and Probability

Express the confidence interval 743.8 < μ < 794.6 in the form of ¯ x ±...

Express the confidence interval 743.8 < μ < 794.6 in the form of ¯ x ± M E . ¯ x ± M E = ±

Solutions

Expert Solution

Confidence interval in terms of sample mean and margin of error E is expressed as

- E < <   + E

Comparing this confidence interval with 743.8 < < 794.6 , we get,

- E = 743.8 and + E = 794.6

Adding these two equations

2 = 743.8 + 794.6

= 769.2

Put this value of in equation + E = 794.6, and solve for E

769.2 + E = 794.6

E = 25.4

E = 769.2 25.4


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