A nurse, who works at a maternity ward, is having a debate with another nurse about the birth weights of twins. She claims the birth weight of a first-born twin is greater than the birth weight of a second-born twin, but her colleague disagreed. Rita decided to use statistics to prove her theory by randomly selecting 6 sets of twins who had been born at the hospital recently and recording the weights of both newborns. The results (in pounds) are shown in the table below. Note: d = (First-born twin - Second-born twin) First-born twin Second-born twin 6.72 6.69 6.36 6.21 6.41 6.10 5.51 5.37 6.27 6.31 5.68 5.63 Assume that both of the populations are normally distributed. At the 0.10 level of significance, is there sufficient evidence to show the birth weight of a first-born twin is higher than the birth weight of a second-born twin? Find the test statistic, to. Round your answer to the nearest hundredth.

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A nurse, who works at a maternity ward, is having a debate with another nurse about the birth weights of twins. She
claims the birth weight of a first-born twin is greater than the birth weight of a second-born twin, but her colleague
disagreed. Rita decided to use statistics to prove her theory by randomly selecting 6 sets of twins who had been born at the
hospital recently and recording the weights of both newborns. The results (in pounds) are shown in the table below.
Note: d (First-born twin
=
Second-born twin)
First-born twin Second-born twin
6.72
6.69
6.36
6.21
6.41
6.10
5.51
5.37
6.27
6.31
5.68
5.63
Assume that both of the populations are normally distributed. At the 0.10 level of significance, is there sufficient evidence
to show the birth weight of a first-born twin is higher than the birth weight of a second-born twin?
Find the test statistic, to. Round your answer to the nearest hundredth.
Transcribed Image Text:Question A nurse, who works at a maternity ward, is having a debate with another nurse about the birth weights of twins. She claims the birth weight of a first-born twin is greater than the birth weight of a second-born twin, but her colleague disagreed. Rita decided to use statistics to prove her theory by randomly selecting 6 sets of twins who had been born at the hospital recently and recording the weights of both newborns. The results (in pounds) are shown in the table below. Note: d (First-born twin = Second-born twin) First-born twin Second-born twin 6.72 6.69 6.36 6.21 6.41 6.10 5.51 5.37 6.27 6.31 5.68 5.63 Assume that both of the populations are normally distributed. At the 0.10 level of significance, is there sufficient evidence to show the birth weight of a first-born twin is higher than the birth weight of a second-born twin? Find the test statistic, to. Round your answer to the nearest hundredth.
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