Answered: A clinical trial was conducted to test…

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.3: Measures Of Spread

Problem 1GP

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A clinical trial was conducted to test the effectiveness of a drug for treating insomnia in older subjects. Before treatment, 16 subjects had a mean wake time of 101.0 min. After treatment, the 16 subjects had a mean wake time of 97.8 min and a standard deviation of 22.6 min. Assume that the

16 sample values appear to be from a normally distributed population and construct a

90% confidence interval estimate of the mean wake time for a population with drug treatments. What does the result suggest about the mean wake time of 101.0 min before the treatment? Does the drug appear to be effective?

A clinical trial was conducted to test the effectiveness of a drug for treating insomnia in older
subjects. Before treatment, 16 subjects had a mean wake time of 101.0 min. After treatment, the
16 subjects had a mean wake time of 97.8 min and a standard deviation of 22.6 min. Assume
that the 16 sample values appear to be from a normally distributed population and construct a
90% confidence interval estimate of the mean wake time for a population with drug treatments.
What does the result suggest about the mean wake time of 101.0 min before the treatment?
Does the drug appear to be effective?
Construct the 90% confidence interval estimate of the mean wake time for a population with the
treatment.
min<μ<
(Round to one decimal place as needed.)
What does the result suggest about the mean wake time of 101.0 min before the treatment?
Does the drug appear to be effective?
min
The confidence interval (1).
the treatment, so the means before and after the treatment (2).
suggests that the drug treatment (3).
an effect.
(1)
O includes
O does not include
the mean wake time of 101.0 min before
(2) O are different.
O could be the same.
This result
does not have
O has

Definition Definition Measure of central tendency that is the average of a given data set. The mean value is evaluated as the quotient of the sum of all observations by the sample size. The mean, in contrast to a median, is affected by extreme values. Very large or very small values can distract the mean from the center of the data. Arithmetic mean: The most common type of mean is the arithmetic mean. It is evaluated using the formula: μ = 1 N ∑ i = 1 N x i Other types of means are the geometric mean, logarithmic mean, and harmonic mean. Geometric mean: The nth root of the product of n observations from a data set is defined as the geometric mean of the set: G = x 1 x 2 ... x n n Logarithmic mean: The difference of the natural logarithms of the two numbers, divided by the difference between the numbers is the logarithmic mean of the two numbers. The logarithmic mean is used particularly in heat transfer and mass transfer. ln x 2 − ln x 1 x 2 − x 1 Harmonic mean: The inverse of the arithmetic mean of the inverses of all the numbers in a data set is the harmonic mean of the data. 1 1 x 1 + 1 x 2 + ...

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