It's proposed that the average life expectancy these days is 72.4, but recent data suggests it might be different from that. A sample size of 82 countries found a sample mean life expectancy of 74 years with a standard deviation of 20.2 years. You want to formulate and test a hypothesis that can be used to challenge the validity of the claim at a significance level of 0.10. With hypotheses Ho: μ = 72.4 vs H₁ μ72.4, what is/are the critical value(s)? (Report answer accurate to 2 decimal places.) What is the test statistic for this sample? (Report answer accurate to 3 decimal places.) What is the p-value for this sample? (Report answer accurate to 4 decimal places.) Our decision is to reject the null O accept the null fail to reject the null As such, the final conclusion is that O there is sufficient evidence to conclude that the population mean life expectancy is equal to 72.4. O there is not sufficient evidence to conclude that the population mean life expectancy is equal to 72.4. Othere is sufficient evidence to conclude that the population mean life expectancy is not equal to 72.4. O there is not sufficient evidence to conclude that the population mean life expectancy is not equal to 72.4.

MATLAB: An Introduction with Applications
6th Edition
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Author:Amos Gilat
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It's proposed that the average life expectancy these days is
72.4, but recent data suggests it might be different from
that.
A sample size of 82 countries found a sample mean life
expectancy of 74 years with a standard deviation of 20.2
years.
You want to formulate and test a hypothesis that can be used
to challenge the validity of the claim at a significance level
of 0.10.
:
With hypotheses Ho: μ = 72.4 vs H₁ μ ‡ 72.4, what
is/are the critical value(s)? (Report answer accurate to 2
decimal places.)
What is the test statistic for this sample?
(Report answer accurate to 3 decimal places.)
What is the p-value for this sample?
(Report answer accurate to 4 decimal places.)
Our decision is to
reject the null
accept the null
fail to reject the null
As such, the final conclusion is that
there is sufficient evidence to conclude that the
population mean life expectancy is equal to 72.4.
there is not sufficient evidence to conclude that the
population mean life expectancy is equal to 72.4.
there is sufficient evidence to conclude that the
population mean life expectancy is not equal to 72.4.
there is not sufficient evidence to conclude that the
population mean life expectancy is not equal to 72.4.
Transcribed Image Text:It's proposed that the average life expectancy these days is 72.4, but recent data suggests it might be different from that. A sample size of 82 countries found a sample mean life expectancy of 74 years with a standard deviation of 20.2 years. You want to formulate and test a hypothesis that can be used to challenge the validity of the claim at a significance level of 0.10. : With hypotheses Ho: μ = 72.4 vs H₁ μ ‡ 72.4, what is/are the critical value(s)? (Report answer accurate to 2 decimal places.) What is the test statistic for this sample? (Report answer accurate to 3 decimal places.) What is the p-value for this sample? (Report answer accurate to 4 decimal places.) Our decision is to reject the null accept the null fail to reject the null As such, the final conclusion is that there is sufficient evidence to conclude that the population mean life expectancy is equal to 72.4. there is not sufficient evidence to conclude that the population mean life expectancy is equal to 72.4. there is sufficient evidence to conclude that the population mean life expectancy is not equal to 72.4. there is not sufficient evidence to conclude that the population mean life expectancy is not equal to 72.4.
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