Question

A study is conducted to determine the average time it takes for a certain medication to show noticeable effects. From a sample of 150 patients, the average time is found to be 2.5 days with a standard deviation of 0.8 days. Calculate a 95% confidence interval for the true average time for the medication to take effect.

Name: a study is conducted to determine the average time it takes for a certain medication to show noticeable effects from a sample of 150 patients the average time is found to be 25 days with a standard de
Uploaded: 2023-08-18T00:45:31-08:00
Duration: 1 min 34 s
Channel: Ivan Kochetkov
Description: a study is conducted to determine the average time it takes for a certain medication to show noticeable effects from a sample of 150 patients the average time is found to be 25 days with a standard de

          A study is conducted to determine the average time it takes for a certain medication to show noticeable effects. From a sample of 150 patients, the average time is found to be 2.5 days with a standard deviation of 0.8 days. Calculate a 95% confidence interval for the true average time for the medication to take effect.

Added by John D.

Instant Answer

Solved by Expert Ivan Kochetkov

08/18/2023

Step 1

It is: Confidence Interval = X ± Z * (σ/√n) Where: X = sample mean Z = Z score (for a 95% confidence interval, Z = 1.96) σ = standard deviation n = sample size Now, let's plug in the values: Confidence Interval = 2.5 ± 1.96 * (0.8/√150) To simplify further, Show more…

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A study is conducted to determine the average time it takes for a certain medication to show noticeable effects. From a sample of 150 patients, the average time is found to be 2.5 days with a standard deviation of 0.8 days. Calculate a 95% confidence interval for the true average time for the medication to take effect.