Group size 35 Group size 65 Group size 24/24F 124 2 178 282 125 140| 140 90 100 111 121 89 144 177 79 84

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section: Chapter Questions
Problem 49RE
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Assume the samples are random and​ independent, the populations are normally​ distributed, and the population variances are equal. The table available below shows the prices​ (in dollars) for a sample of automobile batteries. The prices are classified according to battery type. At α=0.10​, is there enough evidence to conclude that at least one mean battery price is different from the​ others? Complete parts​ (a) through​ (e) below.

i
Cost of batteries by type
Group size 35
Group size 65
Group size 24/24F
100| 111
144| 177
90
121
124
178 282
140 | 140
89
79
84
125
Print
Done
Transcribed Image Text:i Cost of batteries by type Group size 35 Group size 65 Group size 24/24F 100| 111 144| 177 90 121 124 178 282 140 | 140 89 79 84 125 Print Done
Assume the samples are random and independent, the populations are normally distributed, and the population variances are equal. The table available below shows the prices (in dollars) for a sample of automobile
batteries. The prices are classified according to battery type. At a = 0.10, is there enough evidence to conclude that at least one mean battery price is different from the others? Complete parts (a) through (e) below.
Click the icon to view the battery cost data.
(a) Let u1, 42, H3 represent the mean prices for the group size 35, 65, and 24/24F respectively. Identify the claim and state Ho and Ha.
Ho:
Ha:
The claim is the
hypothesis.
(b) Find the critical value, Fo, and identify the rejection region.
The rejection region is F
V Fo, where Fo
%3D
(Round to two decimal places as needed.)
(c) Find the test statistic F.
F =
(Round to two decimal places as needed.)
(d) Decide whether to reject or fail to reject the null hypothesis.
Ho because the test statistic
V in the rejection region.
(e) Interpret the decision in the context of the original claim.
There
V enough evidence at the
% level of significance to
V the claim that
mean battery price is
the others.
(Type an integer or a decimal.)
Transcribed Image Text:Assume the samples are random and independent, the populations are normally distributed, and the population variances are equal. The table available below shows the prices (in dollars) for a sample of automobile batteries. The prices are classified according to battery type. At a = 0.10, is there enough evidence to conclude that at least one mean battery price is different from the others? Complete parts (a) through (e) below. Click the icon to view the battery cost data. (a) Let u1, 42, H3 represent the mean prices for the group size 35, 65, and 24/24F respectively. Identify the claim and state Ho and Ha. Ho: Ha: The claim is the hypothesis. (b) Find the critical value, Fo, and identify the rejection region. The rejection region is F V Fo, where Fo %3D (Round to two decimal places as needed.) (c) Find the test statistic F. F = (Round to two decimal places as needed.) (d) Decide whether to reject or fail to reject the null hypothesis. Ho because the test statistic V in the rejection region. (e) Interpret the decision in the context of the original claim. There V enough evidence at the % level of significance to V the claim that mean battery price is the others. (Type an integer or a decimal.)
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