Question 22: using a 5% significance level, determine if the average circumference of all two-month old babies is not 40.0cm. A random sample of 100 two-month old babies is obtained, and the meanhead circumference is found to be 40.6 cm. Assume that the populationstandard deviation is known to be 1.6 cm. Using a 5% significance level,determine if the average circumference of all two-month old babies is not40.0 cm.Null Hypothesis: The population average is 40.6 cmAlternative Hypothesis: The population average is not 40.6 cmRejection Region: Two-Tailed Test z less than -1.96 and z greater than 1.96Test Statistic: z = 3.75p-value: p = 0.0002Conclusion: Reject the null hypothesis since the test statistic is in the rejectionregion and p-value is less than the significanceNull Hypothesis: The population average is 40.0 cmAlternative Hypothesis: The population average is not 40.0 cmRejection Region: Two-Tailed Test z less than -1.96 and z greater than 1.96Test Statistic: z = 3.75p-value: p = 0.0002Conclusion: Reject the null hypothesis since the test statistic is in the rejectionregion and p-value is less than the significanceNull Hypothesis: The population average is 40.0 cmAlternative Hypothesis: The population average is not 40.0 cmRejection Region: Two-Tailed Test t less than -1.98 and z greater than 1.98Test Statistic: † = 3 75. the sighificaNTENull Hypothesis: The population average is 40.0 cmAlternative Hypothesis: The population average is not 40.0 cmRejection Region: Two-Tailed Test t less than -1.98 and z greater than 1.98Test Statistic:t = 3.75p-value: p = 0.0003%3DConclusion: Reject the null hypothesis since the test statistic is in the rejectionregion and p-value is less than the significanceNull Hypothesis: The population average is 40.6 cmAlternative Hypothesis: The population average is not 40.6 cmRejection Region: Two-Tailed Test z less than -1.96 and z greater than 1.96Test Statistic: z = 3.75p-value: p = 0.0002Conclusion: Reject the null hypothesis since the test statistic is in the rejectionregion and p-value is less than the significance

Null hypothesis: The population mean is 40.0 cm. Alternative hypothesis: The population mean is not…

Answered: A random sample of 100 two-month old…

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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A random sample of 100 two-month old babies is obtained, and the mean head circumference is found to be 40.6 cm. Assume that the population standard deviation is known to be 1.6 cm. Using a 5% significance level, determine if the average circumference of all two-month old babies is not 40.0 cm.