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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. H0: Select an answer μ1-μ2 μd μ p p1-p2  Select an answer > < ≠ =    H1: Select an answer μd p1-p2 μ1-μ2 p μ  Select an answer > ≠ = <    b.) State the appropriate test statistic.  A) t=¯x−μs√nt=x¯-μsn B) χ=(n−1)s2σ2χ=(n-1)s2σ2 C) z=¯x−μσ√nz=x¯-μσn D) 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.  A) At the α=0.05α=0.05 level, we reject the null hypothesis and conclude the data are statistically significant. B) At the α=0.05α=0.05 level, we reject the null hypothesis and conclude the data are not statistically significant. C) At the α=0.05α=0.05 level, we fail to reject the null hypothesis and conclude the data are statistically significant. D) At the α=0.05α=0.05 level, we fail to reject the null hypothesis and conclude the data are not statistically significant.

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. H0: Select an answer μ1-μ2 μd μ p p1-p2  Select an answer > < ≠ =    H1: Select an answer μd p1-p2 μ1-μ2 p μ  Select an answer > ≠ = <    b.) State the appropriate test statistic.  A) t=¯x−μs√nt=x¯-μsn B) χ=(n−1)s2σ2χ=(n-1)s2σ2 C) z=¯x−μσ√nz=x¯-μσn D) 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.  A) At the α=0.05α=0.05 level, we reject the null hypothesis and conclude the data are statistically significant. B) At the α=0.05α=0.05 level, we reject the null hypothesis and conclude the data are not statistically significant. C) At the α=0.05α=0.05 level, we fail to reject the null hypothesis and conclude the data are statistically significant. D) At the α=0.05α=0.05 level, we fail to reject the null hypothesis and conclude the data are not statistically significant.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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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.
H0: Select an answer μ1-μ2 μd μ p p1-p2  Select an answer > < ≠ =   


H1: Select an answer μd p1-p2 μ1-μ2 p μ  Select an answer > ≠ = <   


b.) State the appropriate test statistic. 

  • A) t=¯x−μs√nt=x¯-μsn
  • B) χ=(n−1)s2σ2χ=(n-1)s2σ2
  • C) z=¯x−μσ√nz=x¯-μσn
  • D) 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. 

  • A) At the α=0.05α=0.05 level, we reject the null hypothesis and conclude the data are statistically significant.
  • B) At the α=0.05α=0.05 level, we reject the null hypothesis and conclude the data are not statistically significant.
  • C) At the α=0.05α=0.05 level, we fail to reject the null hypothesis and conclude the data are statistically significant.
  • D) 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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