Question

Which of the following is NOT an equivalent expression for the confidence interval given by 161.7<μ<189.5?Choose the correct answer below. A.175.6−13.9<μ<175.6+13.9 B.175.6±13.9 C.161.7±27.8 D.(161.7,189.5)

Answer 1

The given expression is

`161.7<\mu<189.5`

That means the value of M is between 161.7 and 189.5

Since 175.6 - 13.9 = 161.7

Since 175.6 + 13.9 = 189.5

Then

A is correct

B is correct

Since the interval notation of M is (161.7, 189.5), then

D is correct

Since 161.7 - 27.8 = 133.9

Since 161.7 + 27.8 = 189.5

Then M should be between 133.9 and 189.5 which is wrong

Then C is NOT an equivalent expression for the confidence interval given

The answer is C