The 95% confidence interval for the true population mean age of Camden County College students is (22.8, 25.2) years.
To calculate a confidence interval for the true population mean, we can use the t-distribution and the t-interval function on a TI 83 or TI 84 calculator.
The t-distribution is a distribution of values that are used to estimate the mean of a population when the standard deviation of the population is unknown and the sample size is small (typically n < 30). The t-interval function on a TI 83 or TI 84 calculator calculates a confidence interval for the mean of a population based on a sample of data, using the t-distribution to account for the uncertainty due to sampling error.
To use the t-interval function on a TI 83 or TI 84 calculator to calculate a 95% confidence interval for the true population means the age of Camden County College students, we need to enter the following values:
The sample mean (24 years)
The sample size (21 students)
The standard deviation of the sample (4 years)
The confidence level (95%)
The t-interval function will then calculate the 95% confidence interval for the true population mean age, which in this case is (22.8, 25.2) years. This means that we can be 95% confident that the true population means the age of Camden County College students is within this range.
Learn more about Standard deviation here:
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