I collected ages by asking family and friends "How old are

you (in years)?".

Data:

16

18

18

20

20

21

21

21

22

22

24

26

32

32

33

33

33

36

38

39

44

50

52

54

54

56

60

61

61

79

Mean = 36.53

Standard deviation = 16.79

Question 1: Find an interesting proportion and calculate that proportion of your data.

Here is what I found for this question: 95% CI - Proportion of Teenagers: [0, 0.207]

*Special note for questions asking to run a hypothesis test: Your sample data will suggest using either a left tail or right tail test. You may also use a two-tail test. Show all steps to the hypothesis test and write your conclusion in complete sentences.Use the steps below to help you. For your test, you may choose the significance level and whether you use p-value or critical value. Show all work.*

Question 4: Formulate a claim about the population proportion & run a hypothesis test to test your claim:

(For example, according to the United Pediatrics Association the proportion of babies born in the normal range for

birth weight is 80%. I am claiming that the proportion is <80 %.)

a:Problem Statement:

b:Claim:

c:Null Hypothesis:

d:Alternative Hypothesis:

e:Test statistic:

f:P-value or Critical Value(s):

g:Initial conclusion: (Reject or fail to reject the null.

Justify your answer.)

h: Final Conclusion: (the practical conclusion should not

contain any "statistical" words.)

Question 6: Formulate a claim about the Population Mean & run a hypothesis test to test your claim:

(For example, according to the United Pediatrics Association the mean birth weight of babies born at 28 weeks gestation is 3.2 lbs. I am claiming that the mean birth weight is less than 3.2 lbs.)

a:Problem Statement:

b:Claim:

c:Null Hypothesis:

d:Alternative Hypothesis:

e:Test statistic:

f:P-value or Critical Value(s):

g:Initial conclusion:

h: Final Conclusion:

Question 7: Formulate a claim about the population standard deviation & run a hypothesis test to test your claim:

(For example, according to the United Pediatrics Association the standard deviation of birth weight of babies born at 28 weeks gestation is .8 lbs. I am claiming that the standard deviation of birth weight is less than .8 lbs.)

a:Problem Statement:

b:Claim:

c:Null Hypothesis:

d:Alternative Hypothesis:

e:Test statistic:

f:P-value or Critical Value(s):

g:Initial conclusion:

h: Final Conclusion: