To compare customer satisfaction levels of two competing ice cream companies, 8 customers of Company 1 and 5 customers of Company 2 ware randomly selected and were asked to rate their ice creams on a five-point scale, with 1 being least satisfied and 5 most satisfied. The survey results are summarized in the following table:

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter7: Distance And Approximation
Section7.3: Least Squares Approximation
Problem 31EQ
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To compare customer satisfaction levels of two competing ice cream companies, 8
customers of Company 1 and 5 customers of Company 2 ware randomly selected
and were asked to rate their ice creams on a five-point scale, with 1 being least
satisfied and 5 most satisfied. The survey results are summarized in the following
table:
Company 1 Company 2
?1=8 ?2=5
?1
̅̅̅̅=3.21 ?2
̅̅̅̅=2.22
?1= 0.31 ?2= 0. 21
By assuming both equal variances and unequal variances:
a. Construct an interval estimate at 95°/ confidence interval for difference of
means of two ice cream companies

Question No. 3
To compare customer satisfaction levels of two competing ice cream companies, 8
customers of Company 1 and 5 customers of Company 2 ware randomly selected
and were asked to rate their ice creams on a five-point scale, with 1 being least
satisfied and 5 most satisfied. The survey results are summarized in the following
table:
Company 1
Company 2
nz=8
n2=5
X1=3.21
X2=2.22
S,= 0.31
S2= 0. 21
By assuming both equal variances and unequal variances:
a. Construct an interval estimate at 95°/ confidence interval for difference of
means of two ice cream companies.
Transcribed Image Text:Question No. 3 To compare customer satisfaction levels of two competing ice cream companies, 8 customers of Company 1 and 5 customers of Company 2 ware randomly selected and were asked to rate their ice creams on a five-point scale, with 1 being least satisfied and 5 most satisfied. The survey results are summarized in the following table: Company 1 Company 2 nz=8 n2=5 X1=3.21 X2=2.22 S,= 0.31 S2= 0. 21 By assuming both equal variances and unequal variances: a. Construct an interval estimate at 95°/ confidence interval for difference of means of two ice cream companies.
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