The manufacturer of a certain brand of autobatteries claims that the mean life of thesebatteries is 45 months. A consumer protectionagency that wants to check this claim took arandom sample of 24 such batteries and foundthat the mean life for this sample is 43.25 months.The lives of all such batteries have a normaldistribution with the population standarddeviation of 4.5 months.Find the p-value for the test of hypothesis with thealternative hypothesis that the mean life of thesebatteries is less than 45 months.Round your answer to four decimal places.p =iWill you reject the null hypothesis at a = 0.025? According to the U.S. Census Bureau, 11% ofchildren in the United States lived with at least onegrandparent in 2009 (USA TODAY, June 30, 2011).Suppose that in a recent sample of 1550 children,226 were found to be living with at least onegrandparent. At a 5% significance level, can youconclude that the proportion of all children in theUnited States who currently live with at least onegrandparent is higher than 11%? Use both thep-value and the critical-value approaches.Round your answers for the observed value of zand the critival value of z to two decimal places,and the p-value to four decimal places.Zobserved =ip-value =iCritical value =i

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MATLAB: An Introduction with Applications

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ISBN:9781119256830

Author:Amos Gilat

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Chapter1: Starting With Matlab

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Transcribed Image Text:The manufacturer of a certain brand of auto batteries claims that the mean life of these batteries is 45 months. A consumer protection agency that wants to check this claim took a random sample of 24 such batteries and found that the mean life for this sample is 43.25 months. The lives of all such batteries have a normal distribution with the population standard deviation of 4.5 months. Find the p-value for the test of hypothesis with the alternative hypothesis that the mean life of these batteries is less than 45 months. Round your answer to four decimal places. p = i Will you reject the null hypothesis at a = 0.025?

According to the U.S. Census Bureau, 11% of
children in the United States lived with at least one
grandparent in 2009 (USA TODAY, June 30, 2011).
Suppose that in a recent sample of 1550 children,
226 were found to be living with at least one
grandparent. At a 5% significance level, can you
conclude that the proportion of all children in the
United States who currently live with at least one
grandparent is higher than 11%? Use both thep-
value and the critical-value approaches.
Round your answers for the observed value of z
and the critival value of z to two decimal places,
and the p-value to four decimal places.
Zobserved =
i
p-value =
i
Critical value =
i

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