A data set about speed dating includes "like" ratings of male dates made by the female dates. The summary statistics aren=183,x=6.83,s=2.04.Use a0.10significance level to test the claim that the population mean of such ratings is less than7.00.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? A.H0:μ=7.00H1:μ≠7.00 B.H0:μ=7.00H1:μ<7.00 C.H0:μ=7.00H1:μ>7.00 D.H0:μ<7.00H1:μ>7.00Determine the test statistic. negative . 081−.081(Round to two decimal places as needed.)Determine the P-value. . 209.209(Round to three decimal places as needed.)State the final conclusion that addresses the original claim. Fail to rejectFail to rejectRejectH0.There isnot sufficientsufficientnot sufficientevidence to conclude that the mean of the population of ratings isless thanequal toless thannotgreater than7.00.

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Description: A data set about speed dating includes "like" ratings of male dates made by the female dates. The summary statistics aren=183,x=6.83,s=2.04.Use a0.10significance level to test the claim that the population mean of such ratings is less than7.00.Ass

As the population standard deviation is not known, we will use t-test.The null and alternative…

Answered: a 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

n=183,

x=6.83,

s=2.04.

Use a

0.10

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>7.00

Determine the test statistic.

negative . 081−.081

(Round to two decimal places as needed.)

Determine the P-value.

. 209.209

(Round to three decimal places as needed.)

State the final conclusion that addresses the original claim.

Fail to reject

Reject

H0.

There is

not sufficient

sufficient

not sufficient

evidence to conclude that the mean of the population of ratings is

less than

equal to

less than

not

greater than

7.00.

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