Answered: A data set about speed dating includes…

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

A data set about speed dating includes "like" ratings of male dates made by the female dates. The summary statistics are

n=193,

x=6.55,

s=1.98.

Use a

0.05

significance level to test the claim that the population mean of such ratings is less than

7.00.

Assume that a simple random sample has been selected. Identify the null and alternative hypotheses, test statistic, P-value, and state the final conclusion that addresses the original claim.

What are the null and alternative hypotheses?

H0:

μ=7.00

H1:

μ>7.00

H0:

μ=7.00

H1:

μ≠7.00

H0:

μ<7.00

H1:

μ>7.00

H0:

μ=7.00

H1:

μ<

etermine the test statistic.

(Round to two decimal places as needed.)

Determine the P-value.
(Round to three decimal places as needed.)

State the final conclusion that addresses the original claim.

(Reject/Fail to reject) H0 There is (not sufficient/suficient) evidence to conclude that the mean of the population of ratings is (greater than/Not/Less than/equel)

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