Recent publications have addressed the growing concern in the scientific community around the increased prevalence of CAT scans in children between the ages of 7-18 and the growing rate of childhood...


Recent publications have addressed the growing concern in the scientific community around the increased prevalence of CAT scans in children between the ages of 7-18 and the growing rate of childhood cancers. Suppose the researcher plans to gather a SRS from a group of children in this age range who have received one or more CAT scans, and a SRS from a group of children who have never received a CAT scan and compare the number of cases of childhood cancers that develop over a prolonged period of time. Assume the following table summarizes the descriptive statistics for his samples.























PopulationAverage cases of childhood cancersStandard deviaton
Sample size

>CAT scan
24.62.41,894
No CAT scans11.41.92,745

A) Carry out the appropriate statistical test to answer the researcher’s hypothesis regarding the difference in average cases of childhood cancers in children aged 7-18 receiving one or more CAT scans versus those that have never received a CAT scan. Use an alpha level of 0.05. Do not use the equal variance assumption. Write out your alternative and null hypotheses, and interpret your results.


B) Construct a 95% confidence interval for the average difference in childhood cancer cases between the two groups. Interpret your interval.



Jun 06, 2022
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