Q4. Sample surveys conducted in a large country in a certain year and again 20 years later showed that originally the average height of 420 ten-year-old boys was 54 inches with a sam- ple standard deviation of 2.8 inches. On the other hand, 20 years later, the average height of 480 ten-year-old boys was 56 inches with a sample standard deviation of 2.4 inches. Test the hypothesis Ho : 1 - 12 = -0.5 against the alternative H : m-2< -0.5 at 0.05 level of significance where H and 2 are the true average heights of boys 20 years before and after, respectively. Suppose the populations are normally distributed. (i). Test the hypothesis by finding the Critical Region. (ii). Test the hypothesis by finding the P-value (note that you do not need to find the exact P-value from the table. But, you can still conduct the test).
Q4. Sample surveys conducted in a large country in a certain year and again 20 years later showed that originally the average height of 420 ten-year-old boys was 54 inches with a sam- ple standard deviation of 2.8 inches. On the other hand, 20 years later, the average height of 480 ten-year-old boys was 56 inches with a sample standard deviation of 2.4 inches. Test the hypothesis Ho : 1 - 12 = -0.5 against the alternative H : m-2< -0.5 at 0.05 level of significance where H and 2 are the true average heights of boys 20 years before and after, respectively. Suppose the populations are normally distributed. (i). Test the hypothesis by finding the Critical Region. (ii). Test the hypothesis by finding the P-value (note that you do not need to find the exact P-value from the table. But, you can still conduct the test).
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 13PPS
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Plzz solve i) and ii) and explain
Transcribed Image Text:Q4.
Sample surveys conducted in a large country in a certain year and again 20 years later
showed that originally the average height of 420 ten-year-old boys was 54 inches with a sam-
ple standard deviation of 2.8 inches. On the other hand, 20 years later, the average height of
480 ten-year-old boys was 56 inches with a sample standard deviation of 2.4 inches. Test the
hypothesis Ho : 41 – 42 = -0.5 against the alternative H1 : 41 - 42 < -0.5 at 0.05 level of
significance where 41 and 2 are the true average heights of boys 20 years before and after,
respectively. Suppose the populations are normally distributed.
(i). Test the hypothesis by finding the Critical Region.
(ii). Test the hypothesis by finding the P-value (note that you do not need to find the
exact P-value from the table. But, you can still conduct the test).
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