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A study was conducted using data collected on the birth weights of a random sample of 10 pairs of identical twins to determine whether the twin born first tends to weigh more than the twin born second. Let μF represent the average birth weight of all twins born first, μs represent the average birth weight of all twins born second, and μD represent the average difference in birth weight (weight of first - weight of second) for all pairs of twins.
A) What would be the null and alternative hypotheses for this study?

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Answer:

Null hypothesis ([tex]H_{0}[/tex]): The birth weight of the first born of identical twins is the same as the birth weight of the second born.

Alternative hypothesis ([tex]H_{1}[/tex]): The birth weight of the first born of identical twins is higher than the second born.

Step-by-step explanation:

Please note that the null hypothesis is the hypothesis we always want to reject or prove to be false. Hence in this study, the objective of the study is clearly stated that the researcher want  to determine whether the twin born first tends to weigh more than the twin born second.

Therefore, the null hypothesis we assume that the weight of the identical twins is the same regardless of who come first or last., while the alternative hypothesis is constructed or stated to answer the research objective.

According to the information given, it is found that:

  • The null hypothesis is [tex]H_0: \mu_F - \mu_S \leq 0[/tex].
  • The alternative hypothesis is [tex]H_1: \mu_F - \mu_S > 0[/tex]

What are the hypothesis?

  • At the null hypothesis, we test if the first twin does not weighs more than the second twin, that is, the subtraction is at most 0:

[tex]H_0: \mu_F - \mu_S \leq 0[/tex]

  • At the alternative hypothesis, we test if the first twin weighs more than the second twin, that is, the subtraction is greater than 0:

[tex]H_1: \mu_F - \mu_S > 0[/tex]

To learn more about hypothesis, you can take a look at https://brainly.com/question/25584945

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