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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.

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

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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.
    Answer
    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

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