Assume the samples are random and independent, the populations are nomally 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. E Click the icon to view the battery cost data. C (a) Let u. P2. H3 represent the mean prices for the group size 35, 65, and 24/24F respectively. Identify the claim and state H, and H Hg: H Cost of batteries by type The claim is the V hypothesis. Group size 35 Group size 65 Group size 24/24F 89 181 111 121 124 O 90 146 173 182 278 79 84 124 140 141 (b) Find the critical value, Fo, and identify the rejection region. The rejection region is F Fo, where Fo= (Round to two decimal places as needed.) (c) Find the test statistic F. Print Done F= (Round to two decimal places needed.)

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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Assume the samples are random and independent, the populations are nomally 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
conclude that at least one mean battery price is different from the others? Complete parts (a) through (e) below.
E Click the icon to view the battery cost data.
(a) Let u1. P2. H3 represent the mean prices for the group size 35, 65, and 24/24F respectively. Identify the claim and state Ho and H.
H
Cost of batteries by type
The claim is the
V hypothesis.
Group size 35
Group size 65
Group size 24/24F
101 111 121 124 D
146 173 182 278
124 140 141
89
(b) Find the critical value, Fo, and identify the rejection region.
90
79
84
The rejection region is F Fo, where Fo =
(Round to two decimal places as needed.)
(c) Find the test statistic F.
Print
Done
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
V mean battery price is
(Type an integer or a decimal.)
Transcribed Image Text:Assume the samples are random and independent, the populations are nomally 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 conclude that at least one mean battery price is different from the others? Complete parts (a) through (e) below. E Click the icon to view the battery cost data. (a) Let u1. P2. H3 represent the mean prices for the group size 35, 65, and 24/24F respectively. Identify the claim and state Ho and H. H Cost of batteries by type The claim is the V hypothesis. Group size 35 Group size 65 Group size 24/24F 101 111 121 124 D 146 173 182 278 124 140 141 89 (b) Find the critical value, Fo, and identify the rejection region. 90 79 84 The rejection region is F Fo, where Fo = (Round to two decimal places as needed.) (c) Find the test statistic F. Print Done 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 V mean battery price is (Type an integer or a decimal.)
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