contestada

A sample of 81 items is taken from a population with a standard deviation of
45 kilograms. The sample mean is 112 kilograms. What weights are included
in the 68% confidence interval?

A. 92 kilograms to 132 kilograms
B. 102 kilograms to 122 kilograms
C. 107 kilograms to 117 kilograms
D. 97 kilograms to 127 kilograms

A sample of 81 items is taken from a population with a standard deviation of 45 kilograms The sample mean is 112 kilograms What weights are included in the 68 c class=

Respuesta :

Answer:

C

Step-by-step explanation:

i just took the quiz

The 107 kilograms to 117 kilograms are included in the 68% confidence interval option (C) is correct.

What is a confidence interval?

It is defined as the sampling distribution following an approximately normal distribution for known standard deviation.

We have:

Sample mean X = 112

Standard deviation s = 45

Sample size n = 81

Confidence level = 68%

Z score = 0.9944

[tex]\rm Confidence \ interval = X\pm Z\dfrac{s}{\sqrt{n}}[/tex]

[tex]\rm Confidence \ interval = 112\pm 0.9944\dfrac{45}{\sqrt{81}}[/tex]

Confidence interval = 112 ± 4.972

(107.028, 116.972)  ≈ (107, 117)

 

Thus, the 107 kilograms to 117 kilograms are included in the 68% confidence interval option (C) is correct.

Learn more about the confidence interval here:

brainly.com/question/6654139

#SPJ2

Otras preguntas