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# Testing Hypothesis

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Testing Hypothesis. Identify the null hypothesis, alternative hypothesis, test statistics, P-value or critical value (s), conclusion about the null hypothesis, and final conclusion that address the original claim. Use the P-value method unless your instructor specifies otherwise.

A random sample of 100 babies is obtained, and the mean head circumference is found to be 40.6 cm. Assuming that the population standard deviation is known to be 1.6 cm, use a 0.05 significance level to test the claim that the mean head circumference of all two-month-old babies is equal to 40.0 cm.

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Testing Hypothesis. Identify the null hypothesis, alternative hypothesis, test statistics, P-value or critical value (s), conclusion about the null hypothesis, and final conclusion that address the original claim. Use the P-value method unless your instructor specifies otherwise.
A random sample of 100 babies is obtained, and the mean head circumference is found to be 40.6 cm. Assuming that the population standard deviation is known to be 1.6 cm, use a 0.05 significance level to test the claim that the mean head circumference of all two-month-old babies is equal to 40.0 cm.
H0: The mean head circumference of all two-month-old babies is equal to 40.0 cm.
H1: The mean head circumference of all two-month-old babies is different from 40.0 cm.
The test statistic used is
Significance level 
Decision rule: Reject the null hypothesis, if the value is less than the significance level.
Details
Z Test of Hypothesis for the Mean

Data
Null Hypothesis = 40
Level of Significance 0.05
Population Standard Deviation 1.6
Sample Size 100
Sample Mean 40.6

Intermediate Calculations
Standard Error of the Mean 0.16
Z Test Statistic 3.75

Two-Tail Test
Lower Critical Value -1.959963985
Upper Critical Value 1.959963985
p-Value 0.000176835
Reject the null hypothesis

Conclusion: Fails to reject the null hypothesis. The sample provides enough evidence to support the claim that the mean head circumference of all two-month-old babies is different from 40.0 cm.

This content was COPIED from BrainMass.com - View the original, and get the already-completed solution here!

© BrainMass Inc. brainmass.com October 4, 2022, 12:25 pm ad1c9bdddf>
https://brainmass.com/statistics/hypothesis-testing/statistics-hypothesis-testing-262992