Question

A pharmaceutical company is testing a new drug and is interested in the time it takes for patients to show improvements. They claim that patients show improvements in an average of 20 days. (a) You randomly select 25 patients, administer them the drug, and find that they show improvements in a mean time of 22 days with a standard deviation of 5 days. Construct a 95% confidence interval for the population mean time to show improvements. (Assume that the times to show improvements are approximately normally distributed.) (b) Interpret the confidence interval you calculated in part (a).

Name: a pharmaceutical company is testing a new drug and is interested in the time it takes for patients to show improvements they claim that patients show improvements in an average of 20 days a 79455
Uploaded: 2023-08-01T02:37:34-08:00
Duration: 3 min 48 s
Channel: Madhur L
Description: a pharmaceutical company is testing a new drug and is interested in the time it takes for patients to show improvements they claim that patients show improvements in an average of 20 days a 79455

          A pharmaceutical company is testing a new drug and is interested in the time it takes for
patients to show improvements. They claim that patients show improvements in an average
of 20 days.
(a) You randomly select 25 patients, administer them the drug, and find that they show
improvements in a mean time of 22 days with a standard deviation of 5 days. Construct
a 95% confidence interval for the population mean time to show improvements. (Assume
that the times to show improvements are approximately normally distributed.)
(b) Interpret the confidence interval you calculated in part (a).

Added by Pilar B.

Elementary Statistics a Step by Step Approach

Allan G. Bluman 9th Edition

Instant Answer

Solved by Expert Madhur L

08/01/2023

Step 1

Step 1: Calculate the standard error of the mean using the formula: \[SE = \frac{s}{\sqrt{n}}\] where s is the standard deviation of the sample (5 days) and n is the sample size (25). Show more…

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A pharmaceutical company is testing a new drug and is interested in the time it takes for patients to show improvements. They claim that patients show improvements in an average of 20 days. (a) You randomly select 25 patients, administer them the drug, and find that they show improvements in a mean time of 22 days with a standard deviation of 5 days. Construct a 95% confidence interval for the population mean time to show improvements. (Assume that the times to show improvements are approximately normally distributed.) (b) Interpret the confidence interval you calculated in part (a).