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?
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?
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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![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?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fb58cb154-e620-4a2d-9fe1-63caab1a97a3%2F41130a52-67bf-4d67-bcea-2b1756e42975%2F6xvn5jl_processed.jpeg&w=3840&q=75)
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](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fb58cb154-e620-4a2d-9fe1-63caab1a97a3%2F41130a52-67bf-4d67-bcea-2b1756e42975%2Fi2szvqq_processed.jpeg&w=3840&q=75)
Transcribed Image Text: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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