A new brand of pain reliever is developed in the hope that it will more quickly produce perceptible reduction in pain to patients after minor surgeries than the commonly prescribed pain reliever. The commonly prescribed pain reliever is known to provide relief in an average of at least 3.5 minutes. Assume that the standard deviation of pain relief times is 2.1 minutes. To test whether the new pain reliever works faster than the commonly prescribed drug, a sample of 50 patients with minor surgeries was given the new pain reliever and their times to experience relief were recorded. The sample mean pain relief time was 3.1 minutes. What is the computed value of the test statistic? (final answer to 4 decimal places) Do the data provide sufficient evidence that the new drug provides pain relief faster than the commonly prescribed drug at the 0.05 level of significance? (Yes or No)
A new brand of pain reliever is developed in the hope that it will more
quickly produce perceptible reduction in pain to patients after minor
surgeries than the commonly prescribed pain reliever. The commonly
prescribed pain reliever is known to provide relief in an average of at least
3.5 minutes. Assume that the standard deviation of pain relief times is 2.1
minutes. To test whether the new pain reliever works faster than the
commonly prescribed drug, a sample of 50 patients with minor surgeries
was given the new pain reliever and their times to experience relief were
recorded. The sample mean pain relief time was 3.1 minutes.
What is the computed value of the test statistic?
(final answer to 4 decimal places)
Do the data provide sufficient evidence that the new drug provides pain
relief faster than the commonly prescribed drug at the 0.05 level of significance?
(Yes or No)
Trending now
This is a popular solution!
Step by step
Solved in 2 steps
