Answered: According to a survey, the average age…

Name: According to a survey, the average age at which American men get marri
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Description: According to a survey, the average age at which American men get married is 30. To test if men in Houston marry at a lower age than the national average, a researcher decides to do a hypothesis test, at a 10% significance level. He surveys 16 randoml

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

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.4: Distributions Of Data

Problem 19PFA

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According to a survey, the average age at which American men get married is 30. To test if men in Houston marry at a lower age than the national average, a researcher decides to do a hypothesis test, at a 10% significance level. He surveys 16 randomly selected married men in Houston and asks them about the age at which they got married. From the data, the sample mean age is 28.3, and the sample standard deviation (s) is 1.3.

H0: μ≤30; Ha: μ>30.
α=0.1 (significance level)

What is the test statistic (t-value) of this one-mean hypothesis test (with σ unknown)?

Round your final answer to two decimal places.

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