Question

find a 95% confidence interval for the population mean age (in years) of australian males in couples who separated during the time period of a study. suppose that the sample mean is 35.65 years, the sem is 0.65, and the sample size is 144 for this group

Answer 1

The SEM of 0.65, and a Z-score of 1.96, resulting in an interval of 34.376 to 36.924 years.

Step-by-step explanation:

The student is asking for help to find a 95% confidence interval for the population mean age of Australian males in couples who separated during the study.

With sample mean as 35.65 years, standard error of the mean (SEM) as 0.65, and sample size of 144, we can calculate the confidence interval using the formula:

Mean ± Z * (SEM), where Z is the Z-score corresponding to the desired confidence level.

First, we must determine the Z-score for a 95% confidence level, which is typically 1.96 for a two-tailed test.

Then, we use the SEM to calculate the margin of error: 1.96 * 0.65 = 1.274.

Therefore, the confidence interval is: 35.65 ± 1.274 = (34.376, 36.924)

Thus, we are 95% confident that the true population mean age of Australian males in couples who separated during the time period of the study is between 34.376 and 36.924 years.