I need help with only part d. I am using α = .05, but do I reject the null hypothesis or do I fail to reject the null hypothesis? Is there sufficient or insufficient evidence at the significance level α = .05 that the true population mean is equal to 1? Not sure how to word it, thanks! Stability of compounds in new drugs. Refer to the ACSMedicinal Chemistry Letters (Vol. 1, 2010) study of the meta-bolic stability of drugs, Exercise 2.35 (p. 49). Recall that twoimportant values computed from the testing phase are thefraction of compound unbound to plasma (fup) and the frac-tion of compound unbound to microsomes (fumic). A keyformula for assessing stability assumes that the fup/fumicratio is 1. Pharmacologists at Pfizer Global Research andDevelopment tested 416 drugs and reported the fup/fumicratio for each. These data are saved in the FUP file, and sum-mary statistics are provided in the accompanying MINITABprintout. Suppose the pharmacologists want to determine ifthe true mean ratio, u, differs from 1.a. Specify the null and alternative hypothesis for this test.b. Descriptive statistics for the sample ratios are providedin the accompanying MINITAB printout. Note that thesample mean, x = .327, is less than 1. Consequently,a pharmacologist wants to reject the null hypothesis.What are the problems with using such a decision rule?c. Locate values of the test statistic and correspondingp-value on the printout.d. Select a value of a, the probability of a Type I error.Interpret this value in the words of the problem. One-Sample T: RATIOTest of mu 1 vs not = 1Variable N Mean StDev SE MeanRATIO 416 0.3269 0.2915 0.014395% CII P(0.2988, 0.3550) -47.09 0.000

From Minitab output: Variable N Mean StDev SE Mean 95% CI T P RATIO 416 0.3269 0.2915 0.0143…

Answered: d. Select a value of a, the probability…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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I need help with only part d. I am using α = .05, but do I reject the null hypothesis or do I fail to reject the null hypothesis? Is there sufficient or insufficient evidence at the significance level α = .05 that the true population mean is equal to 1? Not sure how to word it, thanks!

Stability of compounds in new drugs. Refer to the ACS
Medicinal Chemistry Letters (Vol. 1, 2010) study of the meta-
bolic stability of drugs, Exercise 2.35 (p. 49). Recall that two
important values computed from the testing phase are the
fraction of compound unbound to plasma (fup) and the frac-
tion of compound unbound to microsomes (fumic). A key
formula for assessing stability assumes that the fup/fumic
ratio is 1. Pharmacologists at Pfizer Global Research and
Development tested 416 drugs and reported the fup/fumic
ratio for each. These data are saved in the FUP file, and sum-
mary statistics are provided in the accompanying MINITAB
printout. Suppose the pharmacologists want to determine if
the true mean ratio, u, differs from 1.
a. Specify the null and alternative hypothesis for this test.
b. Descriptive statistics for the sample ratios are provided
in the accompanying MINITAB printout. Note that the
sample mean, x = .327, is less than 1. Consequently,
a pharmacologist wants to reject the null hypothesis.
What are the problems with using such a decision rule?
c. Locate values of the test statistic and corresponding
p-value on the printout.
d. Select a value of a, the probability of a Type I error.
Interpret this value in the words of the problem.

One-Sample T: RATIO
Test of mu 1 vs not = 1
Variable N Mean StDev SE Mean
RATIO 416 0.3269 0.2915 0.0143
95% CI
I P
(0.2988, 0.3550) -47.09 0.000

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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