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TRC Assignment: Using the classroom data and the paper titled ?GENETICS OF DERMAL RIDGES: FREQUENCY DISTRIBUTIONS OF TOTAL FINGER RIDGE­COUNT? found on the genetics webpage ?background materials? link, please answer the following questions. 1. Construct a histogram [this is when you create categories for the x­

axis with the number or range of numbers for TRC and the y­axis is the frequency of the TRC falling into that category] in the style of Holt (1952). (Excel or any statistical software can do this) TRC

250

200

150

100

50

0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 TRC 2. How does the class?s average TRC for each gender compare with Holt?s (1952) data? 3. How does your personal TRC compare with the class average and Holt?s (1952) data? 4. Why are the classroom averages different (they likely are...) from Holt?s (1952) data? What could explain the variation between your data and Holt?s (1952) data? 5. In what ways does Mendelian genetics differ from polygenic inheritance? 6. In what ways are the two models of inheritance the same? 7. Unfortunately, the ?2 test is mathematically unsuitable for use with averages. What statistical test could we use to determine if our average TRC is really the same as Holt?s (1952) data? Explain why the Chi­

Square Test cannot be used on this data set. one sample t test when population standard deviation is unknown. one sample z test when population standard deviation is known. The Chi-Square Test is a nonparametric test used for categorical data. 8. Perform a t­test on the average TRC for males vs. females using the class data in Excel. t-Test: Two-Sample Assuming Unequal Variances

female

male

95.6842105

Mean

3 154.4

924.228070 1780.

Variance

2

3

Observations

19

5

Hypothesized Mean

Difference

0

df

5

2.91867931

t Stat

4

0.01653221

P(T&lt;=t) one-tail

6

2.01504837

t Critical one-tail

3

0.03306443

P(T&lt;=t) two-tail

3

2.57058183

t Critical two-tail

6 9. Write an appropriate null and alternative hypothesis for the statistical test performed for question #8. 10. Based on your p­value for the t­test in question #8, was there a statistically significant difference for the TRC in males vs. females? Explain. [Use the structure we discussed in class, e.g. reject/fail to reject the null, there is/there is no significant different between...]

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