1) An earlier statistics class used to have a lab. During lab students would count corn kernels. Here are some counts for corn kernels:

purple round: 211 purple wrinkled: 87 yellow round: 86 yellow wrinkled: 19

Is there any reason to doubt the expected ration of 9:3:3:1 (the counts above are given in order)?

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2) You want to know if an octopus (octopi are very intelligent!) can tell the difference between circles and rectangles. You provide each octopus with one circular disk and one flattened rectangle. You hide food under the circle. After several trials, you then count how many times the octopus picks up the circle and how many times it picks up the rectangle. You get the following results:

Circles: 18 Rectangles: 4

Can the octopus tell the difference between circles and rectangles?

(Hint: if the octopuscan'ttell the difference, what's the probability that he/she will pick a circle?)

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3) In an investigation of daylight savings time, researchers at the University of Colorado found 302 traffic

deaths in 10 years for the Monday following the spring time change. On a regular Monday there are about 258

traffic deaths in 10 years. Does daylight savings time increase the number of traffic deaths?

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4) Epistasis is a phenomenon in which one gene controls the expression of another. In one case, a dihybrid cross should yield a 9:3:4 ratio.

You collect the following data on mice:

black coat: 69 brown coat: 23 white coat: 30

Is there any reason to doubt the ratio of 9 black : 3 brown : 4 white?