Introduction to Probability and Statistics
14th Edition
ISBN: 9781133103752
Author: Mendenhall, William
Publisher: Cengage Learning
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Chapter 15.5, Problem 15.22E
a.
To determine
Write the null and alternative hypotheses for the Wilcoxon signed-rank test.
b.
To determine
Write the test statistic for the given statement.
c.
To determine
Give the rejection region for the given value of
d.
To determine
Write the conclusion for the value of
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A researcher obtains t=2.25 for a repeated measures study using a sample of n=10 participants. Based on this t value, what is the correct decision for a two- tail test at .05 and .01 alpha level?
The desired percentage of SiO2 in a certain type of aluminous cement is 5.5. To test whether the true average percentage is 5.5 for a particular production facility, 16 independently obtained samples are analyzed. Suppose that the percentage of SiO2 in a sample is normally distributed with ? = 0.32 and that x = 5.21. (Use ? = 0.05.)
(a) Does this indicate conclusively that the true average percentage differs from 5.5?State the appropriate null and alternative hypotheses.
H0: ? = 5.5Ha: ? ≠ 5.5H0: ? = 5.5Ha: ? ≥ 5.5 H0: ? = 5.5Ha: ? < 5.5H0: ? = 5.5Ha: ? > 5.5
Calculate the test statistic and determine the P-value. (Round your test statistic to two decimal places and your P-value to four decimal places.)
z
=
P-value
=
State the conclusion in the problem context.
Do not reject the null hypothesis. There is sufficient evidence to conclude that the true average percentage differs from the desired percentage.Reject the null hypothesis. There is sufficient evidence…
If the df value for a two tailed test with alpha =0.05 were to increase from df=5 to df=22,what would happen to the critical values for t?
Chapter 15 Solutions
Introduction to Probability and Statistics
Ch. 15.2 - Prob. 15.1ECh. 15.2 - Prob. 15.2ECh. 15.2 - Prob. 15.3ECh. 15.2 - Prob. 15.4ECh. 15.2 - Prob. 15.5ECh. 15.2 - Prob. 15.6ECh. 15.2 - Prob. 15.7ECh. 15.2 - Prob. 15.8ECh. 15.2 - Prob. 15.10ECh. 15.2 - Prob. 15.12E
Ch. 15.3 - Prob. 15.13ECh. 15.3 - Prob. 15.14ECh. 15.3 - Prob. 15.15ECh. 15.3 - Prob. 15.16ECh. 15.3 - Prob. 15.17ECh. 15.3 - Prob. 15.18ECh. 15.3 - Prob. 15.19ECh. 15.3 - Prob. 15.20ECh. 15.5 - Prob. 15.21ECh. 15.5 - Prob. 15.22ECh. 15.5 - Prob. 15.23ECh. 15.5 - Prob. 15.24ECh. 15.5 - Prob. 15.25ECh. 15.5 - Prob. 15.26ECh. 15.5 - Prob. 15.28ECh. 15.5 - Prob. 15.30ECh. 15.6 - Prob. 15.32ECh. 15.6 - Prob. 15.33ECh. 15.6 - Prob. 15.34ECh. 15.6 - Prob. 15.35ECh. 15.6 - Prob. 15.37ECh. 15.7 - Prob. 15.38ECh. 15.7 - Prob. 15.39ECh. 15.7 - Prob. 15.40ECh. 15.7 - Prob. 15.41ECh. 15.7 - Prob. 15.42ECh. 15.8 - Prob. 15.43ECh. 15.8 - Prob. 15.44ECh. 15.8 - Prob. 15.45ECh. 15.8 - Prob. 15.46ECh. 15.8 - Prob. 15.50ECh. 15.8 - Prob. 15.51ECh. 15.8 - Prob. 15.53ECh. 15.8 - Prob. 15.54ECh. 15 - Prob. 15.55SECh. 15 - Prob. 15.56SECh. 15 - Identical Twins to compare two junior high...Ch. 15 - Identical Twins II Refer to Exercise 15.57. What...Ch. 15 - Prob. 15.59SECh. 15 - Meat Tenderizers An experiment was conducted to...Ch. 15 - Prob. 15.62SECh. 15 - Prob. 15.63SECh. 15 - Prob. 15.65SECh. 15 - Prob. 15.66SECh. 15 - Yield of Wheat Exercise 11.68 presented ananalysis...Ch. 15 - Prob. 15.68SECh. 15 - Prob. 15.69SECh. 15 - Prob. 15.70SECh. 15 - Prob. 15.71SECh. 15 - Prob. 15.72SECh. 15 - Prob. 15.73SECh. 15 - Prob. 15.74SECh. 15 - Prob. 15.75SECh. 15 - Prob. 15.77SECh. 15 - Prob. 15.78SECh. 15 - Prob. 15.79SECh. 15 - Prob. 1CSCh. 15 - Prob. 2CSCh. 15 - Prob. 3CS
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