08.01

A study is to be conducted to help determine whether a coin is fair. How many degrees of freedom are there for a chi-square goodness-of-fit test? (4 points)

One

Two

Three

Four

Five

Mars Company claims the colors in a standard bag of M&Ms candy are of equal proportion. To test this claim, researchers took a random sample of 210 M&Ms and counted the number of each color. The results are shown in the table. (4 points)

Color Red Orange Yellow Green Blue Brown Count 34 33 31 35 33 44Eye ColorBrown Blue Hazel Green Other Count 475 55 40 15 15O (475-120)2 (55-120)2 (40 -120)2 + (15-120)2 + (15-120)2 + 120 + 120 120 120 120 O (475- 450)2 + (55 -48)2 (40 -48)2 (15-12)2 + (15-42)2 + 600 600 + 600 600 600 (475 -450)2 (55 -48)2 (40 -48)2 + (15-12)2 + (15 -42)2 + 120 + 120 120 120 120 O (475 - 450)2 + (55 -48)2 + (40 -48)2 (15-12)2 + + (15 -42)2 450 48 48 12 42 O (450 - 475)2 (44-55)2 + (48 -40)2 (12-15)2 + + (42-15)2 475 + 55 40 15 15