# Using the 95 confidence interval can we be 95

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Using the 95% confidence interval, can we be 95% confident that µ ≤ 19.5 days? Using the 95% confidence interval suggests that 95% of the interval estimates include the population limit, as implied via the following: 95% CI = (17.0867, 19.1287) less than 19.5. It’s concluded that 95% confident that µ ≤ 19.5 days. Using the 99% confidence interval, can we be 99% confident that µ ≤ 19.5 days? Using the 99% confidence interval suggests that 99% of the interval estimates include the population limit, as implied via the following: 99% CI = (16.7658, 19.4496) less than 19.5. It’s concluded that 99% confident that µ ≤ 19.5 days.
THE TIME PAYMENT CASE 4 Confidence Interval Estimate for the Mean Data Population Standard Deviation 4.2 Sample Mean 18.1077 Sample Size 65 Confidence Level 99% Intermediate Calculations Standard Error of the Mean 0.5209 Z Value 2.576 Interval Half Width 1.3419 Confidence Interval Interval Lower Limit 16.7658 Interval Upper Limit 19.4496 If the population mean payment time is 19.5 days, what is the probability of observing a sample mean payment time of 65 invoices less than or equal to 18.1077 days In the formulation below, the letter Z signifies the consistent random variable as well as the possibilities that are related with the series of Z and can be outlined in the Z distribution table.