Two Means (Dependent)1.Listed below are brain volumes (cm3) of twins. Test that at 1% significance level that there is adifference between volumes for the first-born and the second-born twins.First Born10051035128110511034107911041439 1029 1160Second Born96310271272 10791070 1173 10671347 1100 1204

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Asked Nov 25, 2019
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Listed below are brain volumes of twins. Test that a 1% significant level that there is a difference between volumes for the first born and the second born twins. 

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Two Means (Dependent)
1.
Listed below are brain volumes (cm3) of twins. Test that at 1% significance level that there is a
difference between volumes for the first-born and the second-born twins.
First Born
1005
1035
1281
1051
1034
1079
1104
1439 1029 1160
Second Born
963
1027
1272 1079
1070 1173 1067
1347 1100 1204
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Two Means (Dependent) 1. Listed below are brain volumes (cm3) of twins. Test that at 1% significance level that there is a difference between volumes for the first-born and the second-born twins. First Born 1005 1035 1281 1051 1034 1079 1104 1439 1029 1160 Second Born 963 1027 1272 1079 1070 1173 1067 1347 1100 1204

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Expert Answer

Step 1

The hypotheses are given below:

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Null hypothesis: H = 0 Alternative hypothesis: H 0

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Step 2

Step-by-step procedure to obtain the test statistic using MINITAB software:

  • Choose Stat > Basic Statistics > Paired t.Choose Summarized data.
  • In First Sample, enter the column of First Born.
  • In First Sample, enter the column of In First Sample, enter the column of.
  • Choose Options.
  • In Confidence level, enter 99.
  • In Alternative, select Not equal.
  • Click OK in all the dialogue boxes.

Output obtained using MINITAB software is given below:

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Paired T-Test and Cl: First Born, Second Born Descriptive Statistics Sample N Mean StDev SE Mean First Born 43.7 10 1121.7 138.3 Second Born 10 1130.2 117.4 37.1 Estimation for Paired Difference 99% CI for Mean StDev SE Mean difference 17.9 (-66.7, 49.7) -8.5 56.7 difference: mean of (First Born- Second Bom) Test Ho_difference o Null hypothesis Alternative hypothesis H:difference 0 T-Value P-Value 0.647 047

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Step 3

From the output, the test statistic is –0.47 and the p-value is 0.647.

...
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If p-value significance level, reject the null hypothesis If p-value>significance level, do not reject the null hypothesis.

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Hypothesis Testing

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