Question

In a random sample of 35 criminals convicted of a certain crime, it was determined that the mean length of sentencing was 68 months, with a standard deviation of 13 months. Construct and interpret a 90% confidence interval for the mean length of sentencing for this crime. Click here to view the standard normal distribution table (page 1). Click here to view the standard normal distribution table (page 2). Click here to view the table of critical t-values. Select the correct choice below and fill in the answer boxes to complete your choice. (Use ascending order. Round to one decimal place as needed.) O A. 90% of the sentences for the crime are between and months. OB. There is a 90% probability that the mean length of sentencing for the crime is between and months. O c. We can be 90% confident that the mean length of sentencing for the crime is between and months.

Answer 1

it was mean > was X etni In a random sample of 35 criminals convicted of a certain crime determined that the length of sentencing 68 months with a standard deviation the 13 months. The mean length of sentencing will be, че 1.691 of The 90% confidence interval for the 2 Jn t 34, 0.05 13 u E (os 68 I t34,0.05 35 68+ 1.691 X 13 68 - 1.691 X 13 2 4 € ک3 ل 35 ME [64.2841 71.7158 ] So, 4 € [64.3, E [64.3, 717] is the confidence interval. This can be 90% confident that the length of sentencing for means that we mean the crime is between So the correct answer is C. 64-3 and 71-7 months.