= 4. The average birth weight of a newborn baby in the USA is reported to be 7.5 lbs. A random sample of n 200 newborn babies was taken in a southern state. It is found that their average birth weight was 7.32 lbs with a standard deviation 2.16 lbs. Let μl denote the average birth weight in this state. Perform a statistical test at a a = 0.05 level of significance to see if the average birth weight in this state matches well with the national average. (a) State the null and alternative hypotheses. (b) Let Z = X - μο s/√n be the z-test statistic. What is the null distribution of Z under Ho? What is the distri- bution of Z if μ = 7.2 in fact? (c) Compute the observed Z test statistic. Specify the rejection rule and draw conclusion accordingly. (d) Obtain the corresponding p-value.
= 4. The average birth weight of a newborn baby in the USA is reported to be 7.5 lbs. A random sample of n 200 newborn babies was taken in a southern state. It is found that their average birth weight was 7.32 lbs with a standard deviation 2.16 lbs. Let μl denote the average birth weight in this state. Perform a statistical test at a a = 0.05 level of significance to see if the average birth weight in this state matches well with the national average. (a) State the null and alternative hypotheses. (b) Let Z = X - μο s/√n be the z-test statistic. What is the null distribution of Z under Ho? What is the distri- bution of Z if μ = 7.2 in fact? (c) Compute the observed Z test statistic. Specify the rejection rule and draw conclusion accordingly. (d) Obtain the corresponding p-value.
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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Transcribed Image Text:4. The average birth weight of a newborn baby in the USA is reported to be 7.5 lbs. A random
sample of n = 200 newborn babies was taken in a southern state. It is found that their average
birth weight was 7.32 lbs with a standard deviation 2.16 lbs. Let u denote the average birth
weight in this state. Perform a statistical test at a a = 0.05 level of significance to see if the
average birth weight in this state matches well with the national average.
(a) State the null and alternative hypotheses.
(b) Let
Z =
X - μο
s/√n
be the z-test statistic. What is the null distribution of Z under Ho? What is the distri-
bution of Z if u = 7.2 in fact?
(c) Compute the observed Z test statistic. Specify the rejection rule and draw conclusion
accordingly.
(d) Obtain the corresponding p-value.
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