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DEPARTMENT OF MATHEMATICS

MATHEMATICS 100

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EXTRA CREDIT ASSIGNMENT 4

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7 points

1.

Listed below are the reported numbers of cigarettes smoked per day (x) and the measured

amounts of nicotine in ng/mL (y). Is there a linear correlation? Explain the result.

x

60

10

4

15

10

1

20

8

7

10

10

20

y

179

283

75.6

174

209

9.51

350

1.85

43.4

25.1

408

344

2.

Using the table above, find the predicted nicotine level for someone who smokes 40

cigarettes per day.

3.

Randomly selected birth records were obtained and listed in the table below. Use a 0.05

significance level to test the claim that births occur with equal frequency on the different

days of the week.

Day

Sun

Mon

Tues

Wed

Thurs

Fri

Sat

Births

36

55

62

60

60

58

48

4.

Use a 0.05 significance level to test the claim that gender and left-handedness are

independent.

Left-handed

Right-handed

Male

83

17

Female

184

16

5.

When flipping a penny or spinning a penny, is the probability of getting heads the same?

Use the data in the table below with a 0.05 significance level to test the claim that the

proportion of heads is the same with flipping as with spinning.

Heads

Tails

Flipping

14,709

14,306

Spinning

9197

11,225