A pharmaceutical company claims that the mean time it takes for their new pain relief medication to take effect is 20 minutes. A sample of 12 patients is randomly selected and given the medication. The time it takes for each patient to feel the effects of the medication (in minutes) is recorded as follows: 23, 19, 17, 22, 22, 23, 20, 23, 19, 21, 18, 25 a) Conduct a hypothesis test with a significance level of 0.05 to determine if there is evidence to support the company's claim. b) Calculate a 95% confidence interval for the true mean time it takes for the medication to take effect.

MATLAB: An Introduction with Applications
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A pharmaceutical company claims that the mean time it takes for their new pain relief medication to
take effect is 20 minutes. A sample of 12 patients is randomly selected and given the medication.
The time it takes for each patient to feel the effects of the medication (in minutes) is recorded as
follows: 23, 19, 17, 22, 22, 23, 20, 23, 19, 21, 18, 25
a) Conduct a hypothesis test with a significance level of 0.05 to determine if there is evidence to
support the company's claim.
b) Calculate a 95% confidence interval for the true mean time it takes for the medication to take
effect.
Transcribed Image Text:A pharmaceutical company claims that the mean time it takes for their new pain relief medication to take effect is 20 minutes. A sample of 12 patients is randomly selected and given the medication. The time it takes for each patient to feel the effects of the medication (in minutes) is recorded as follows: 23, 19, 17, 22, 22, 23, 20, 23, 19, 21, 18, 25 a) Conduct a hypothesis test with a significance level of 0.05 to determine if there is evidence to support the company's claim. b) Calculate a 95% confidence interval for the true mean time it takes for the medication to take effect.
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