Fundamentals of Statistics (5th Edition)
5th Edition
ISBN: 9780134508306
Author: Michael Sullivan III
Publisher: PEARSON
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Chapter B.3, Problem 5AYU
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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Independent random samples selected from two normal populations produced the sample means and standard deviations shown to the right.
Assuming equal variances, conduct the test Ho: (uy - H2) = 0 against Ha: (H1 - H2) #0 using a = 0.10.
Sample 1 Sample 2
n, = 17
n2 = 13
%3D
x, = 5.3 x, = 7.6
S, = 3.9
S2 = 4.7
...
Find the test statistic.
The test statistic is
(Round to two decimal places as needed.)
Find the p-value.
The p-value is
(Round to three decimal places as needed.)
State the conclusion. Choose the correct answer below.
O A. Do not reject Ho. There is insufficient evidence that the means differ.
O B. Do not reject Ho. There is sufficient evidence that the means differ.
O C. Reject Ho. There is sufficient evidence that the means differ.
O D. Reject Ho. There is insufficient evidence that the means differ.
In a lake pollution study, the concentration of lead in the upper sedimentary layer of a lake bottom is
measured from 25 sediment samples. The sample mean and the standard deviation of the measurements
are found to be 0.38 and 0.06, respectively. Suppose
Ho : u = 0.34
H1: u# 0.34
(a) State Type I and Type Il errors.
(b) Conduct a hypothesis test at 0.01 level of significance by doing the seven-step classical approach.
(please show all seven steps, formulas, calculations and the curve)
URGENTT
Chapter B.3 Solutions
Fundamentals of Statistics (5th Edition)
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