Suppose that the wait times for patients in an emergency room are normally distributed with an unknown mean and standard deviation. A random sample of 18 patients is taken and gives a sample mean of 25 minutes and a sample standard deviation of 2 minutes. df t0.10 t0.05 t0.025 t0.01 t0.005 ... ... ... ... ... ... 16 1.337 1.746 2.120 2.583 2.921 17 1.333 1.740 2.110 2.567 2.898 18 1.330 1.734 2.101 2.552 2.878 19 1.328 1.729 2.093 2.539 2.861 20 1.325 1.725 2.086 2.528 2.845 (a) Find the margin of error, for a 95% confidence interval estimate for the population mean using the Student's t-distribution.
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Since we are trying to estimate a population mean, we choose the sample mean (25 minutes) as the sample statistic. Show more…
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Suppose that the times to complete an obstacle course are normally distributed with an unknown mean and standard deviation. A random sample of 18 course times is taken and gives a sample mean of 105 seconds and a sample standard deviation of 18 seconds. df t0.10 t0.05 t0.025 t0.01 t0.005 14 1.345 1.761 2.145 2.624 2.977 15 1.341 1.753 2.131 2.602 2.947 16 1.337 1.746 2.120 2.583 2.921 17 1.333 1.740 2.110 2.567 2.898 18 1.330 1.734 2.101 2.552 2.878 Find the ME, margin of error, for a 98% confidence interval estimate for the population mean using the Student's t-distribution. Use the portion of the table above. Round the final answer to two decimal places. Provide your answer below:
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