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For the following situation, which type of test would you run (from the given li

ID: 3291087 • Letter: F

Question

For the following situation, which type of test would you run (from the given list) and state the Ho and H1

One sample test of mean, known

One sample test of mean, unknown

One sample test of variance

One sample test of proportion

Goodness of Fit

Two sample test of mean, known

Two sample test of mean, unknown

Paired t-test

Test for equal variances sometimes called test of variance ratio

Two population proportions

c) To test if newborn babies are more likely to be boys than girls. A random sample found 13,173 boys were born among 25,468 newborn children. The sample proportion of boys was 0.5172. Is there evidence that the birth of boys is more common than the birth of girls in the entire population?

d) The table below contains the historical distribution and current distribution of the race of students at a college. The college put a strong effort into recruiting a more diverse group of students. They would like to know if the distribution is statistically different this year than in the past.

Caucasian

African American

Hispanic

Asian

Alaskan

Mixed/other

Historical

60

15

5

18

0

2

This year

50

17

08

23

1

1

e) Males and females were asked about what they would do if they received a $100 bill by mail, addressed to their neighbor, but wrongly delivered to them. Would they return it to their neighbor? Of the 69 males sampled, 52 said yes and of the 131 females sampled, 120 yes.

f) You are testing a treatment for diabetes and you suspect it will impact men and women differently. You design a test in which you record blood sugar before taking the medicine and after.

g) You are having a debate with your roommate on who sleeps more male or female students. You randomly survey 20 males and 20 females and ask them how many hours they sleep a night.

h) A biologist was interested in determining whether sunflower seedlings treated with an extract from Vinca minor roots resulted in a lower average height of sunflower seedlings than the standard height of 15.7 cm. The biologist treated a random sample of n = 33 seedlings with the extract .

i) You suspect night shift is more productive than day shift. You pull production reports for 20 random shifts.

j) You want to test if the amount of vitamin C in an orange varies by more than the amount of vitamin C in a grapefruit.

One sample test of mean, known

One sample test of mean, unknown

One sample test of variance

One sample test of proportion

Goodness of Fit

Two sample test of mean, known

Two sample test of mean, unknown

Paired t-test

Test for equal variances sometimes called test of variance ratio

Two population proportions

Explanation / Answer

C) two population proportion

D) Goodness of fit

E)two population proportion.

F)two sample test of mean ,sigma unknown

G)two sample test of mean sigma unknown.

H)one sample test of mean sigma unknown.

I)two sample test of mean sigma unknown.

J)test of equal variance.

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