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1.There are 2560 brown and 630 white rats. As an expert statistician, you are al

ID: 3126188 • Letter: 1

Question

1.There are 2560 brown and 630 white rats. As an expert statistician, you are also able to use X^2 analysis to answer the question.
1. what is the hypothetical ratio for your X^2 test?

2. What is the calculated chi-square value in your test? (show work)

2. you have an aquarium with 10 fish of different colors. You decide to only catch 6 fish at a time. Calculate the number of different fish color combinations that could be made utilizing 6 fish at a time.

3. Heterozygous black guinea pigs (Bb; B=black, b=white) are crossed among themselves. What is the probability among 3 offspring of producing 2 white and 1 black in any order?

What is the probability that 2 white and 1 black offspring will be produced in that specific order? (I know the answer for this is one is 3/64 but I'm not sure how it was solved)






Explanation / Answer

1question

Let the hypothetical ratio be 4:1

total rats = 2560+630 = 3190

Brown

White

n

Expected

2552

3190

Observed

630

X2 = sum ( O – E )2 /E

O = observed value of each class of data

E = expected value of each class of data

X2 = 82 / 2552 + 82 / 638

X2 = 0.1253

Critical value pobability =.28 Refer = http://stattrek.com/online-calculator/chi-square.aspx

Well with a P value of 0.25<P<0.50 the Chi-square test reveals that there is a pretty good probability that chance could be responsible for the experimental results.  This means that our experimental results agree with the predicted outcome.

Question 2

10 different color fishes. 6 to catch at same time

combinations = 10C6 = 10*9*8*7/ (4*3*2) =210

Question 3

Possible types : 25 % BB , 25% bb , 50% Bb

black = 75%

white = 25%

2 white and one black in particular order = .25 *.25 *.75 = 3/64

in any order = 3* 3/64 = 9/64

Brown

White

n

Expected

2552

638

3190

Observed

2560

630