Chapter 2.2, Problem 76E

(a)

To determine

To make: a two-w ay table of temperature by outcome

Answer to Problem 76E

	Cold	Neutral	Hot
Hatched	16	38	75
Not Hatched	11	18	29
Total	27	56	104

Explanation of Solution

Given:

	Cold	Neutral	Hot
Number of eggs	27	56	104
Number hatched	16	38	75

Calculation:

The two-way table of temperature by outcome (hatched or not) is shown below.

	Cold	Neutral	Hot	Total
Number of hutched eggs	16	38	75	$16+38+75=129$
Number of not hutched eggs	$27-16=11$	$56-38=18$	$104-75=29$	$11+18+29=58$
Total (Number of eggs)	27	56	104	$27+56+104=187$

	Cold	Neutral	Hot
Hatched	16	38	75
Not Hatched	11	18	29
Total	27	56	104

Conclusion:

Therefore, a two-w ay table of temperature is drawn.

(b)

To determine

To make: the percent of eggs in each group which are hatchedand explain whether the statement of researchers have any support depending on the given data

Answer to Problem 76E

The percent of eggs that are hatched in

Cold nest = $59.26\%$

Neutral nest = $67.86\%$

Hot nest = $72.12\%$

The cold nest did not prevent hatching, but made it less likely.

Explanation of Solution

Calculation:

The percent of eggs in each group that hatched are $\frac{16}{27}\times 100\approx 59.26\%$ in a cold nest, $\frac{38}{56}\times 100\approx 67.86\%$ in a neutral nest, and $\frac{75}{104}\times 100\approx 72.12\%$ in a hot nest. The percents indicate that hatching increases with temperature. The cold nest did not prevent hatching, but made it less likely.

Conclusion:

Therefore percent of eggs that are hatched in Cold nest = $59.26\%$

Neutral nest = $67.86\%$

Hot nest = $72.12\%$