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 alphaα=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. A. H0: mu 1μ1greater than>mu 2μ2 H1: mu 1μ1equals=mu 2μ2 B. H0: mu 1μ1equals=mu 2μ2 H1: mu 1μ1less than<mu 2μ2 C. H0: mu 1μ1less than<mu 2μ2 H1: mu 1μ1equals=mu 2μ2 D. H0: mu 1μ1not≠mu 2μ2 Upper H 1H1: mu 1μ1equals=mu 2μ2 E. H0: mu 1μ1=mu 2μ2 H1: mu 1μ1greater than>mu 2μ2 F. H0: mu 1μ1equals=mu 2μ2 H1: mu 1μ1not equals≠mu 2μ2 Find the test statistic for this hypothesis test. 2.01 (Round to two decimal places as needed.) Determine the P-value for this hypothesis test. 0.027 (Round to three decimal places as needed.) State the conclusion for this hypothesis test. A. Reject H0. There is not sufficient evidence at the alphaα=0.01 level of significance to conclude that mu 1μ1greater than>mu 2μ2. B. Reject H0. There is sufficient evidence at the alphaα=0.01 level of significance to conclude that mu 1μ1greater than>mu 2μ2. C. Do not reject H0. There is not sufficient evidence at the alphaα=0.01 level of significance to conclude that mu 1μ1greater than>mu 2μ2. D. Do not reject H0. There is sufficient evidence at the alpha=0.01 level of significance to conclude that mu 1μ1greater than>mu 2μ2. (b) The 99% confidence interval about mu 1μ1minus−mu 2μ2 is the range from a lower bound of_to an upper bound of_. (Round to three decimal places as needed.)

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Question

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 alphaα=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≠mu 2μ2

Upper H 1H1:

mu 1μ1equals=mu 2μ2

H0:

mu 1μ1=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.

2.01

(Round to two decimal places as needed.)

Determine the P-value for this hypothesis test.

0.027

(Round to three decimal places as needed.)

State the conclusion for this hypothesis test.

Reject

H0.

There

is not sufficient evidence at the

alphaα=0.01

level of significance to conclude that

mu 1μ1greater than>mu 2μ2.

Reject

H0.

There

is sufficient evidence at the

alphaα=0.01

level of significance to conclude that

mu 1μ1greater than>mu 2μ2.

Do not reject

H0.

There

is not sufficient evidence at the

alphaα=0.01

level of significance to conclude that

mu 1μ1greater than>mu 2μ2.

Do not reject

H0.

There

is sufficient evidence at the

alpha=0.01

level of significance to conclude that

mu 1μ1greater than>mu 2μ2.

(b) The

99%

confidence interval about

mu 1μ1minus−mu 2μ2

is the range from a lower bound of_
to an upper bound of_.

(Round to three decimal places as needed.)

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