Chapter 1.1, Problem 26E

(a)

To determine

To calculate the percentage of eggs that assigned to hot water.

Answer to Problem 26E

Percentage of eggs assigned to hot water = 55.6%

Explanation of Solution

Given:

The Dataset:

		Water temperature
		Cold	Neutral	Hot	Total
	Yes	16	38	75	129
Hatched?	No	11	18	29	58
	Total	37	56	104	187

Calculation:

The number of eggs assigned to hot water = 104

Total number of eggs are = 187

  $\begin{array}{c}\text{Proportion of eggs assigned to Hot water =}\frac{104}{187}\\ =0.556\\ =55.6\%\end{array}$

(b)

To determine

To calculate the proportion of eggs in Hatched.

Answer to Problem 26E

0.6898

Explanation of Solution

Calculation:

No. of eggs in Hatched = 129

Total no. of respondents = 187

  $\begin{array}{c}\text{Proportion of eggs in Hatched = }\frac{\text{No}\text{. of eggs in hatched}}{\text{Total no}\text{. of eggs}}\\ =\frac{129}{187}\\ =0.6898\\ =68.98\%\end{array}$

(c)

To determine

To calculate the percentage of eggs assigned to cold and neutral water and also hatched.

Answer to Problem 26E

Required proportion = 0.8984

Explanation of Solution

Calculation:

No. of eggs assigned to cold and neutral = 93

No. of eggs in Hatched = 129

No. of eggs assigned to cold and neutral water and also hatched= 54

Total no. of respondents = 1200

  $\begin{array}{l}\text{P}\left(\text{Eggs assigned to cold or neutral water or also hatched}\right)\\ \text{= }\left[\begin{array}{l}\text{P(Cold and neutral) + P(Eggs in hatch) }\\ \text{- P}\left(\text{cold or neutral water and also hatched}\right)\end{array}\right]\\ =\frac{93}{187}+\frac{129}{187}-\frac{54}{187}\\ =\frac{168}{187}\\ =0.8984\\ =89.84\%\end{array}$