a law students who want to check aproffessors claims that conflicted embezzlers spend on the avarage of 11.5 months with a standard deviation of 3.8 months 1.construct 99%CI for the mean months spent in a jail
To construct a 99% confidence interval (CI) for the mean months spent in jail, we can use the following formula:
CI = X̄ ± Z * (σ / √n)
Where:
- X̄ is the sample mean (11.5 months in this case)
- Z is the Z-score corresponding to the desired confidence level (99% corresponds to a Z-score of 2.575)
- σ is the population standard deviation (3.8 months in this case)
- n is the sample size (which is not provided in the given information)
Since the sample size (n) is not mentioned, we cannot proceed further to calculate the 99% CI without knowing the sample size.