Fundamentals of Statistics (5th Edition)
5th Edition
ISBN: 9780134508306
Author: Michael Sullivan III
Publisher: PEARSON
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Chapter B.3, Problem 8AYU
a.
To determine
To compute: The test statistic.
b.
To determine
To find: The critical valuefor the given test at
c.
To determine
To draw: The chi-square distribution.
To depict: The critical region.
d.
To determine
To claim: The rejection of null hypothesis.
To find: The reason.
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A researcher is interested in testing whether annual house hold income in Philadelphia is normal. So she took a sample of 50 house holds and found that skewness (s)= 2.3190 and Kurtosis (k) = 6.7322. Use the Jarque- Bera Test to test , at alpha 0.05, whether income follows normal distribution.
-Yes, population is normal because Chi-Square test is higher than critical value.
-Yes, population is normal because Chi-Square test is less than critical value.
-No, population is not normal because Chi-Square test is higher than critical value.
-No, population is not normal because Chi-Square test is less than critical value.
A random sample of 22 women participated in a study testing whether a new banana boat sunscreen reduced their incident rate of sunburn during the summer. The average woman in the study reported getting burned 5.7 times over the past 3 months, with a SS = 179. Compare this incident rate to a rate of 7 times per 3 months. Use an alpha of .05, 2 tailed test.
a) What is the t-critical value(s)?
b) What is the estimated standard error?
c) Compute the t-statistic.
d) Make a decision regarding the null and provide a conclusion (explain what it means in regards to this particular study).
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 B.3 Solutions
Fundamentals of Statistics (5th Edition)
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