ellamai16
07.12.2019 •
Mathematics
In a random sample of 32 criminals convicted of a certain crime, it was determined that the mean length of sentencing was 52 months, with a standard deviation of 9 months. construct and interpret a 90% confidence interval for the mean length of sentencing for this crime.
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.)a. there is a 90% probability that the mean length of sentencing for the crime is between and .b. 90% of the sentences for the crime are between months.c. we can be 90% confident that the mean length of sentencing for the crime is between months.
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Ответ:
There is a 90% probability that the mean length of sentencing for the crime is between 49.4 and 54.6 months.
Step-by-step explanation:
Confidence Interval can be calculated using M±ME where
M is the sample mean length of sentencing (52 months)ME is the margin of error from the meanAnd margin of error (ME) from the mean can be calculated using the formula
ME= where
z is the corresponding statistic of 90% confidence level (1.64)s is the sample standard deviation of sentencing (9 months) N is the sample size (32 criminals)Then ME= ≈2.6
90% confidence interval for the mean length of sentencing for the crime is
52 ± 2.6 months.
Ответ:
1266 wolves in 7 years
Step-by-step explanation: