Use the given statistics to complete parts (a) and (b). Assume that the populations are normally distributed. (a) Test whether mu 1μ1greater than>mu 2μ2 at the alphaαequals=0.05 level of significance for the given sample data. (b) Construct a 90% confidence interval about mu 1μ1minus−mu 2μ2. Population 1 Population 2 n 26 21 x overbarx 47.2 40.5 s 4.6 11.8 (a) Identify the null and alternative hypotheses for this test. A. Upper H 0H0: mu 1μ1less than<mu 2μ2 Upper H 1H1: mu 1μ1equals=mu 2μ2 B. Upper H 0H0: mu 1μ1equals=mu 2μ2 Upper H 1H1: mu 1μ1not equals≠mu 2μ2 C. Upper H 0H0: mu 1μ1not equals≠mu 2μ2 Upper H 1H1: mu 1μ1equals=mu 2μ2 D. Upper H 0H0: mu 1μ1greater than>mu 2μ2 Upper H 1H1: mu 1μ1equals=mu 2μ2 E. Upper H 0H0: mu 1μ1equals=mu 2μ2 Upper H 1H1: mu 1μ1greater than>mu 2μ2 Your answer is correct. F. Upper H 0H0: mu 1μ1equals=mu 2μ2 Upper H 1H1: mu 1μ1less than<mu 2μ2 Find the test statistic for this hypothesis test. nothing (Round to two decimal places as needed.)
Use the given statistics to complete parts (a) and (b). Assume that the populations are normally distributed. (a) Test whether mu 1μ1greater than>mu 2μ2 at the alphaαequals=0.05 level of significance for the given sample data. (b) Construct a 90% confidence interval about mu 1μ1minus−mu 2μ2. Population 1 Population 2 n 26 21 x overbarx 47.2 40.5 s 4.6 11.8 (a) Identify the null and alternative hypotheses for this test. A. Upper H 0H0: mu 1μ1less than<mu 2μ2 Upper H 1H1: mu 1μ1equals=mu 2μ2 B. Upper H 0H0: mu 1μ1equals=mu 2μ2 Upper H 1H1: mu 1μ1not equals≠mu 2μ2 C. Upper H 0H0: mu 1μ1not equals≠mu 2μ2 Upper H 1H1: mu 1μ1equals=mu 2μ2 D. Upper H 0H0: mu 1μ1greater than>mu 2μ2 Upper H 1H1: mu 1μ1equals=mu 2μ2 E. Upper H 0H0: mu 1μ1equals=mu 2μ2 Upper H 1H1: mu 1μ1greater than>mu 2μ2 Your answer is correct. F. Upper H 0H0: mu 1μ1equals=mu 2μ2 Upper H 1H1: mu 1μ1less than<mu 2μ2 Find the test statistic for this hypothesis test. nothing (Round to two decimal places as needed.)
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 14PPS
Related questions
Question
Use the given statistics to complete parts (a) and (b). Assume that the populations are
(a) Test whether
mu 1μ1greater than>mu 2μ2
at the
alphaαequals=0.05
level of significance for the given sample data.(b) Construct a
90%
confidence interval about
mu 1μ1minus−mu 2μ2.
|
|
|
Population 1
|
Population 2
|
|
---|---|---|---|---|---|
n
|
26
|
21
|
|||
x overbarx
|
47.2
|
40.5
|
|||
s
|
4.6
|
11.8
|
(a) Identify the null and alternative hypotheses for this test.
Upper H 0H0:
mu 1μ1less than<mu 2μ2
Upper H 1H1:
mu 1μ1equals=mu 2μ2
Upper H 0H0:
mu 1μ1equals=mu 2μ2
Upper H 1H1:
mu 1μ1not equals≠mu 2μ2
Upper H 0H0:
mu 1μ1not equals≠mu 2μ2
Upper H 1H1:
mu 1μ1equals=mu 2μ2
Upper H 0H0:
mu 1μ1greater than>mu 2μ2
Upper H 1H1:
mu 1μ1equals=mu 2μ2
Upper H 0H0:
mu 1μ1equals=mu 2μ2
Upper H 1H1:
mu 1μ1greater than>mu 2μ2
Upper H 0H0:
mu 1μ1equals=mu 2μ2
Upper H 1H1:
mu 1μ1less than<mu 2μ2
Find the test statistic for this hypothesis test.
nothing
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