Use the given statistics to complete parts (a) and (b). Assume that the populations are normally distributed.(a) Test whethermu 1μ1greater than>mu 2μ2at thealphaαequals=0.01level of significance for the given sample data.(b) Construct a99%confidence interval aboutmu 1μ1minus−mu 2μ2. Population 1Population 2 n2425x overbarx50.845.9s4.311.4(a) Identify the null and alternative hypotheses for this test. A.H0:mu 1μ1greater than>mu 2μ2H1:mu 1μ1equals=mu 2μ2 B.H0:mu 1μ1equals=mu 2μ2H1:mu 1μ1less than<mu 2μ2 C.H0:mu 1μ1less than<mu 2μ2H1:mu 1μ1equals=mu 2μ2 D.H0:mu 1μ1not equals≠mu 2μ2H1:mu 1μ1equals=mu 2μ2 E.H0:mu 1μ1equals=mu 2μ2H1:mu 1μ1greater than>mu 2μ2 F.H0:mu 1μ1equals=mu 2μ2H1:mu 1μ1not equals≠mu 2μ2 Find the test statistic for this hypothesis test. (Round to two decimal places as needed.)

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Description: Use the given statistics to complete parts (a) and (b). Assume that the populations are normally distributed.(a) Test whethermu 1μ1greater than>mu 2μ2at thealphaαequals=0.01level of significance for the given sample data.(b) Construct a99%confid

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Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.3: Measures Of Spread

Problem 1GP

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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=0.01 level of significance for the given sample data. (b) Construct a 99% confidence interval about mu 1μ1minus−mu 2μ2.			Population 1	Population 2
n	24	25
x overbarx	50.8	45.9
s	4.3	11.4

(a) Identify the null and alternative hypotheses for this test.

H0:

mu 1μ1greater than>mu 2μ2

H1:

mu 1μ1equals=mu 2μ2

H0:

mu 1μ1equals=mu 2μ2

H1:

mu 1μ1less than<mu 2μ2

H0:

mu 1μ1less than<mu 2μ2

H1:

mu 1μ1equals=mu 2μ2

H0:

mu 1μ1not equals≠mu 2μ2

H1:

mu 1μ1equals=mu 2μ2

H0:

mu 1μ1equals=mu 2μ2

H1:

mu 1μ1greater than>mu 2μ2

H0:

mu 1μ1equals=mu 2μ2

H1:

mu 1μ1not equals≠mu 2μ2

Find the test statistic for this hypothesis test.

(Round to two decimal places as needed.)

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

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