Unit 4, Topic 20, Exercise 20-24 Birth Weights The Odum Institute for Research i
ID: 3217962 • Letter: U
Question
Unit 4, Topic 20, Exercise 20-24 Birth Weights The Odum Institute for Research in social Science at the University of North Carolina made avai data on all births that occur in the state of North Carolina. John Holcomb of Cleveland State sity selected a random sample of 500 births Univer in the year 200s. Birth weights can be modeled with a normal distribution with mean 3300 grams, or about 7.275 pounds. Consider testing whether the m n age among all mothers who gave birth in North Carolina in 2005 differs from 7.4 years, the mean age among all mothers in the United States in 2005 (National Vital Statistics Reports). The value of the -test statistic turns out to be t 1,82 a. Based on this test statistic, determine the p -value as accurately as possible. Round your answer to four decimal places. -value the tolerance is +/-2% b. Summarize the conclusion that you would draw from this test. 27.4 You have not found sufficient statistical evidence to conclude that the population mean mother's age of all babies born in North Carolina in 2005 differs from years You have found su statistical evidence to conclude that the population mean mother's age of all babies born in North Carolina in 2005 differs from 27.4 fficient years c. Based on the test statistic and p value, what can you say about a 99% confidence interval for the mean age among North Carolina mothers? Explain. Because the two-sided p -value 0.01 you know that the value Ho 27.4 years is contained within the 99 96 confidence interval for the mean age of all North Carolina mothers in 200s. Because the two-sided p value 0.01 you know that the value uo 27.4 years is contained within the 99% confidence interval for the mean age of all North Carolina mothers in 200s. Because the one-sided p value 0.01 you know that the value Ho 27.4 years is contained within the 99 confidence interval for the mean age of all North Carolina mothers in 200s. Because the two-sided -value 0.01 you know that the value Ho- 27.4 years is not contained within the 99% confidence interval for the mean age of all North Carolina mothers in 2005. Because the one-sided p -value 0.01 you know that the value Ho- 27.4 years is not contained within the 99 96 confidence interval for the mean age of all North Carolina mothers in 2005.Explanation / Answer
PART A.
P-Value : Two Tailed ( double the one tail ) - Ha = 0.0846
PART B.
You have not found sufficent evidence to conclude that population mean mothers age of all babies born in north carolina in 2005 diffres from 27.4 years
c.
because p >0.01, u = 27.4 with in the 99% confidence interval for the mean age of all north carolina mother s from 2205
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