A doctor wants to research if there is any difference in the birth weights of a mother's first child and second child. Suppose that data were collected for a random sample of 10 mothers with 2 children, where each difference is calculated by subtracting the weight of the first child from the weight of the second child. Assume that the weights are normally distributed. The doctor uses the alternative hypothesis Ha:μd≠0. Suppose the test statistic t is calculated as −1.101, which has 9 degrees of freedom. If the p-value is greater than 0.10 and the significance level is α=0.10, what conclusion can be made about the birth weights of a mother's first 2 children? Select all that apply:   Reject the null hypothesis.     Fail to reject the null hypothesis.     The conclusion of the hypothesis test is that there is sufficient evidence to suggest that the birth weights of a mother's first 2 children are different.     The conclusion of the hypothesis test is that there is insufficient evidence to suggest that the birth weights of a mother's first 2 children are different.

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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A doctor wants to research if there is any difference in the birth weights of a mother's first child and second child. Suppose that data were collected for a random sample of 10 mothers with 2 children, where each difference is calculated by subtracting the weight of the first child from the weight of the second child. Assume that the weights are normally distributed. The doctor uses the alternative hypothesis Ha:μd≠0. Suppose the test statistic t is calculated as −1.101, which has 9 degrees of freedom. If the p-value is greater than 0.10 and the significance level is α=0.10, what conclusion can be made about the birth weights of a mother's first 2 children?

Select all that apply:

  •  

    Reject the null hypothesis.

  •  
  •  

    Fail to reject the null hypothesis.

  •  
  •  

    The conclusion of the hypothesis test is that there is sufficient evidence to suggest that the birth weights of a mother's first 2 children are different.

  •  
  •  

    The conclusion of the hypothesis test is that there is insufficient evidence to suggest that the birth weights of a mother's first 2 children are different.

  •  
 
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