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

nequals=192192,

x overbarxequals=6.526.52,

sequals=1.911.91.

Use a

0.050.05

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

7.007.00.

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.

Expert Solution

Step 1

Given information-

Sample size, n = 192

Sample mean, x-bar = 6.52

Sample standard deviation, s = 1.91

Significance level, α = 0.05

Hypothesis Formulation-

Null Hypothesis, H₀: μ ≥ 7

Alternate Hypothesis, H_a: μ < 7

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