Question
Asked Jan 17, 2020
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Radiation in Baby Teeth Listed below are amounts of strontium-90 (in millibecquerels, or mBq, per gram of calcium) in a simple random sample of baby teeth obtained from Pennsylvania residents and New York residents born after 1979 (based on data from “An Unexpected Rise in Strontium-90 in U.S. Deciduous Teeth in the 1990s,” by Mangano et al., Science of the Total Environment). Use a 0.05 significance level to test the claim that the median amount of strontium-90 from Pennsylvania residents is the same as the median from New York residents.

155 142
Pennsylvania
142 156
149 130 151
163
151
133
138
161
New York
134 129 128 140 140 140 137 143
133 140 142 131
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155 142 Pennsylvania 142 156 149 130 151 163 151 133 138 161 New York 134 129 128 140 140 140 137 143 133 140 142 131

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Expert Answer

Step 1

The claim that the median amount of strontium-90 from Pennsylvania residents is the same as the median from New York residents is null hypothesis. Thus, the alternative hypothesis is the median amount of strontium-90 from Pennsylvania residents is not same as the median from New York residents.

The hypotheses are given below:

Statistics homework question answer, step 1, image 1
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Step 2

Software procedure:

Step-by-step procedure to obtain P-value using the MINITAB software is as follows:

  • Choose Stat > Nonparametrics > Mann-Whitney.
  • In First Sample, enter the column of Pennsylvania.
  • In Second Sample, enter the column of New York.
  • Enter value of the Confidence level as 95.
  • Select not equal as the Alternative.
  • Click OK.

Output using the MINITAB software is given below:

Statistics homework question answer, step 2, image 1
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Step 3

From the output, the P-value is 0.0111.

...

Statistics homework question answer, step 3, image 1
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