Expert answer:Need help on Statistics math

Answer & Explanation:g310_mod06_homework.docx Please see attachment for problems 1-6
g310_mod06_homework.docx

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Name:______________________________________
Module 6 Homework Assignment
An investigator analyzed the leading digits of the amounts from 200 checks issued by three suspect
companies. The frequencies were found to be 68, 40, 18, 19, 8, 20, 6, 9, 12 and those digits correspond
to the leading digits of 1, 2, 3, 4, 5, 6, 7, 8, and 9, respectively. If the observed frequencies are
substantially different from the frequencies expected with Benford’s law, the check amounts appear to
be the result of fraud. Use a 0.05 significance level to test for goodness-of-fit with Benford’s law.
1. Calculate the χ2 test statistic.
Solution:
Instructor Comments:
2. Calculate the χ2 critical value.
Solution:
Instructor Comments:
3. Is there sufficient evidence to conclude that the checks are the result of fraud?
Solution:
Instructor Comments:
Alert nurses at the Veteran’s Affairs Medical Center in Northampton, Massachusetts, noticed an
unusually high number of deaths at times when another nurse, Kristen Gilbert, was working. Kristen
Gilbert was arrested and charged with four counts of murder and two counts of attempted murder.
When seeking a grand jury indictment, prosecutors provided a key piece of evidence consisting of the
table below. Use a 0.01 significance level to test the defense claim that deaths on shifts are independent
of whether Gilbert was working.
Gilbert Was Working
Shifts With a Death
40
Shifts Without a Death
217
Gilbert Was Not Working
34
1350
4. Calculate the χ2 test statistic.
Solution:
Instructor Comments:
5. Calculate the χ2 critical value.
Solution:
Instructor Comments:
6. Is there sufficient evidence to reject the defense claim that deaths on shifts are independent of
whether Gilbert was working?
Solution:
Instructor Comments:
…
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