A random sample of 100 two-month-old babies is obtained, and the mean head circumference is found to be 40.6 cm. Assume that the population standard deviation is known to be 1.6 cm. Using a significance level of 0.05, test the claim that the mean head circumference of all two-month-old babies is not equal to 40.0cm. a.) State the null and alternative hypotheses. H0H0: Select an answer μ1-μ2 μd μ p p1-p2 Select an answer > < ≠ = H1H1: Select an answer μd p1-p2 μ1-μ2 p μ Select an answer > ≠ = < b.) State the appropriate test statistic. t=¯x−μs√nt=x¯-μsn χ=(n−1)s2σ2χ=(n-1)s2σ2 z=¯x−μσ√nz=x¯-μσn z=ˆp−p√pqnz=p^-ppqn c.) Determine the value of the test statistic. (Round to two decimal places.) d.) Determine the P-value. (Round to four decimal places.) e.) Determine the conclusion of the test. At the α=0.05α=0.05 level, we reject the null hypothesis and conclude the data are statistically significant. At the α=0.05α=0.05 level, we reject the null hypothesis and conclude the data are not statistically significant. At the α=0.05α=0.05 level, we fail to reject the null hypothesis and conclude the data are statistically significant. At the α=0.05α=0.05 level, we fail to reject the null hypothesis and conclude the data are not statistically significant.

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Description: A random sample of 100 two-month-old babies is obtained, and the mean head circumference is found to be 40.6 cm. Assume that the population standard deviation is known to be 1.6 cm. Using a significance level of 0.05, test the claim that the mean hea

MATLAB: An Introduction with Applications

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ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

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A random sample of 100 two-month-old babies is obtained, and the mean head circumference is found to be 40.6 cm. Assume that the population standard deviation is known to be 1.6 cm. Using a significance level of 0.05, test the claim that the mean head circumference of all two-month-old babies is not equal to 40.0cm.

a.) State the null and alternative hypotheses.
H0H0: Select an answer μ1-μ2 μd μ p p1-p2 Select an answer > < ≠ =

H1H1: Select an answer μd p1-p2 μ1-μ2 p μ Select an answer > ≠ = <

b.) State the appropriate test statistic.

t=¯x−μs√nt=x¯-μsn
χ=(n−1)s2σ2χ=(n-1)s2σ2
z=¯x−μσ√nz=x¯-μσn
z=ˆp−p√pqnz=p^-ppqn

c.) Determine the value of the test statistic. (Round to two decimal places.)

d.) Determine the P-value. (Round to four decimal places.)

e.) Determine the conclusion of the test.

At the α=0.05α=0.05 level, we reject the null hypothesis and conclude the data are statistically significant.
At the α=0.05α=0.05 level, we reject the null hypothesis and conclude the data are not statistically significant.
At the α=0.05α=0.05 level, we fail to reject the null hypothesis and conclude the data are statistically significant.
At the α=0.05α=0.05 level, we fail to reject the null hypothesis and conclude the data are not statistically significant.

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