A local hospital wanted to see if the claim was true and randomly sampled 25 baby's weights and found an average weight of 7.3 pounds. Test the claim using a 10% level of significance that the mean weight significantly smaller than the national average of 7.5 pounds. Use the population standard deviation of 1.25 pounds. Give answer to at least 4 decimal places.

MATLAB: An Introduction with Applications
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ISBN:9781119256830
Author:Amos Gilat
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Chapter1: Starting With Matlab
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The weights of newborn children in the United States vary according to the normal distribution with mean 7.5 pounds and standard deviation 1.25 pounds. An article in the The Wall Street Journal claims that the average birth weight is decreasing over time. 

 

A local hospital wanted to see if the claim was true and randomly sampled 25 baby's weights and found an average weight of 7.3 pounds. Test the claim using a 10% level of significance that the mean weight significantly smaller than the national average of 7.5 pounds. Use the population standard deviation of 1.25 pounds. Give answer to at least 4 decimal places.

What are the correct hypotheses? (Select the correct symbols.)

 H0:                    pounds

 H1:                    pounds

Based on the hypotheses, find the following:

Test Statistic = 

p-value = 

The correct decision is to      

The correct summary would be:       that the mean weight significantly smaller than the national average of 7.5 pounds.

What is the type I error in this situation?    

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