To compare customer satisfaction levels of two competing cable television companies, 174 customers of Company 1 and 355 customers of Company 2 were randomly selected and were asked to rate their cable companies on a five-point scale, with 1 being least satisfied and 5 being most satisfied. The survey results are summarized in the following table. Company 1 Company 2 ni = 174 = 3.51 355 š2 = 3.24 %3D 0.51 $2 = 0.52 It is desired to test, at a 0.01 level of significance, whether the data provide sufficient evidence to conclude that Company 1 has a higher mean satisfaction rating than does Company 2. Let H1 and u2 denote the population mean satisfaction ratings for Company 1 and Company 2, respectively.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section: Chapter Questions
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To compare customer satisfaction levels of two competing cable television companies, 174 customers
of Company 1 and 355 customers of Company 2 were randomly selected and were asked to rate their
cable companies on a five-point scale, with 1 being least satisfied and 5 being most satisfied.
The survey results are summarized in the following table.
Company 1
Company 2
Nį = 174
!!
n2 = 355
X = 3.51
X2 = 3.24
S1 = 0.51
S2 = 0.52
It is desired to test, at a 0.01 level of significance, whether the data provide sufficient evidence to
conclude that Company 1 has a higher mean satisfaction rating than does Company 2.
Let Hi and u2 denote the population mean satisfaction ratings for Company 1 and Company 2,
respectively.
We consider the hypotheses: Ho H1 - H2 = 0 versus H: - 42 > 0.
%3!
The value of the test statistic is
.(Write your answer precise to two decimal places,
e.g., 1.78, 2.56, -3.71, 0.35.)
The data
(write "do" or "do not") provide sufficient evidence, at the 0.01 level of
significance, that the mean customer satisfaction for Company 1 is higher than that for Company 2.
Transcribed Image Text:To compare customer satisfaction levels of two competing cable television companies, 174 customers of Company 1 and 355 customers of Company 2 were randomly selected and were asked to rate their cable companies on a five-point scale, with 1 being least satisfied and 5 being most satisfied. The survey results are summarized in the following table. Company 1 Company 2 Nį = 174 !! n2 = 355 X = 3.51 X2 = 3.24 S1 = 0.51 S2 = 0.52 It is desired to test, at a 0.01 level of significance, whether the data provide sufficient evidence to conclude that Company 1 has a higher mean satisfaction rating than does Company 2. Let Hi and u2 denote the population mean satisfaction ratings for Company 1 and Company 2, respectively. We consider the hypotheses: Ho H1 - H2 = 0 versus H: - 42 > 0. %3! The value of the test statistic is .(Write your answer precise to two decimal places, e.g., 1.78, 2.56, -3.71, 0.35.) The data (write "do" or "do not") provide sufficient evidence, at the 0.01 level of significance, that the mean customer satisfaction for Company 1 is higher than that for Company 2.
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