Answer :
Final answer:
To compute a 95% confidence interval for barx when n = 25 and barx = 58.3, we use the formula CI = x ± EBM, where x is the sample mean and EBM is the error bound of mean. Since the sample size is small, we can use the t-distribution instead of the Z-distribution. However, additional information such as the sample standard deviation is needed to compute the confidence interval.
Explanation:
To compute a 95% confidence interval for barx when n = 25 and barx = 58.3, we can use the formula:
CI = x ± EBM
where x is the sample mean and EBM is the error bound of the mean. Since the sample size is small (<30), we can use the t-distribution instead of the Z-distribution. The formula for EBM with the t-distribution is:
EBM = t(n-1, α/2) * (s / √n)
where t(n-1, α/2) is the t-value with (n-1) degrees of freedom and α/2 as the desired level of significance, and s is the sample standard deviation. Given that n = 25 and barx = 58.3, we need additional information such as the sample standard deviation to compute the confidence interval.
