in a random sample of 36 criminals convicted of a certain crime, it was determined that the mean length of sentencing was 50 m

Question

2 years ago

10

onths, with a standard deviation of 5 months. construct and interpret a 90 % confidence interval for the mean length of sentencing for this crime.

1 answer:

9966 [12] · Answer 1 · 2023-07-25T09:31:54+03:00

The answer is 90% of the crime is between 48.63 and 51.37

<h3>How to solve for the confidence interval</h3>

The sd = 5 months

n = 36

Mean length = 50

1- 0.90

= 0.1

Critical value = alpha/2 = 1.645

Margin of error

E = 1.645 x 5/√36

= 1.37

<h3>The upper and lower limits are</h3>

50 - 1.37 + 50 + 1.37

= (48.63, 51.37)

Raed more on confidence interval here:

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in a random sample of 36 criminals convicted of a certain​ crime, it was determined that the mean length of sentencing was 50 ​m