1.Health care issues are receiving much attention in both academic and political arenas. A sociologist recently conducted a survey of citizens over 60 years of age whose net worth is too high to qualify for Medicaid. The ages of 25 senior citizens were as follows:40 marks

60 616263646566686869707373

74 7576768181828687899092

a.Calculate the arithmetic mean age of the senior citizens to the nearest hundredth of a year.5 marks

b.Determine the median age of the senior citizens.5 marks

c.Determine the first quartile of the ages of the senior citizens. 5 marks

d.Determine the third quartile of the ages of the senior citizens. 5 marks

e.Determine the interquartile range of the ages of the senior citizens.5 marks

f. Determine which of the following is the correct statement.2.5 marks

A) The middle 50% of the senior citizens sampled are between 65.5 and 73.0 years of age.

B) One fourth of the senior citizens sampled are below 65.5 years of age.

C) The mean age of senior citizens sampled is 73.5 years of age.

D) All the above are correct.

g. Identify which of the following is the correct statement.2.5 marks

A) 25% of the senior citizens sampled are older than 81.5 years of age.

B) The middle 50% of the senior citizens sampled are between 65.5 and 73.0 years of age.

C) One fourth of the senior citizens sampled are below 64 years of age.

D) All the above are correct.

h. Calculate the variance of the ages of the senior citizens correct to the nearest hundredth of a year squared.5 marks

i.Calculate the standard deviation of the ages of the senior citizens correct to the nearest hundredth of a year.5 marks

2.The following are the duration in minutes of a sample of long-distance phone calls made within the continental United States reported by one long-distance carrier.

(30 marks each part carry 3 marks)

Relative

Time (in Minutes)Frequency

0 but less than 50.37

5 but less than 100.22

10 but less than 150.15

15 but less than 200.10

20 but less than 250.07

25 but less than 300.07

30 or more0.02

a. What is the width of each class?

b. If 1,000 calls were randomly sampled, how many calls lasted under 10 minutes?

c. If 100 calls were randomly sampled, how many calls lasted 15 minutes or longer?

d. If 10 calls lasted 30 minutes or more, how many calls lasted less than 5 minutes?

e.What is the cumulative relative frequency for the percentage of calls that lasted under 20 minutes?

f.What is the cumulative relative frequency for the percentage of calls that lasted 10 minutes or more?

g.If 100 calls were randomly sampled, ________ of them would have lasted at least 15 minutes but less than 20 minutes.

h.If 100 calls were sampled, ________ of them would have lasted less than 15 minutes.

i.If 100 calls were sampled, ________ of them would have lasted 20 minutes or more.

j.If 100 calls were sampled, ________ of them would have lasted less than 5 minutes or at least 30 minutes or more.

Determine which type of variable in the following question.

3.The manager of the customer service division of a major consumer electronics company is interested in determining whether the customers who have purchased a Blu-ray player made by the company over the past 12 months are satisfied with their products. 21 marks (each part carry 3 marks)

a.The possible responses to the question "How many Blu-ray players made by other manufacturers have you used?" are values from a

b.The possible responses to the question "Are you happy, indifferent, or unhappy with the performance per dollar spent on the Blu-ray player?" are values from a

c.The possible responses to the question "What is your annual income rounded to the nearest thousands?" are values from a

d.The possible responses to the question "How much time do you use the Blu-ray player every week on the average?" are values from a

e.The possible responses to the question "How many people are there in your household?" are values from a

f.The possible responses to the question "How would you rate the quality of your purchase experience with 1 = excellent, 2 = good, 3 = decent, 4 = poor, 5 = terrible?" are values from a

g.The possible responses to the question "In which year were you born?" are values from a

4.Complete the following table( 9 Marks)

Grades in Statistics

Frequency

Relative Frequency

A:90-100

---

----

B:80-89

36

----

C:65-79

90

----

D-50-64

30

----

F: Below 50

28

----

Total

200

assignment 1 (Protected View) - Word Sign in X File Home Insert Design Layout References Mailings Review View Help Tell me what you want to do Share PROTECTED VIEW Be careful-files from the Internet can contain viruses. Unless you need to edit, it's safer to stay in Protected View. Enable Editing X . 1 . 1 . . 1 . 1 . 1 1 2 . 1 . 3 . 1 . 4 . 1 . 5 . 1 . 6 . 1 .7 . 1 . 8 . 1 . 9 . 1 . 10 . 1 11 . 1 12 . 1 13 . 1 14 . 1 15 . 1 16 . 1 17 1 . 18 . . 1 20 f. The possible responses to the question "How would you rate the quality of your purchase experience with 1 = excellent, 2 = good, 3 = decent, 4 = poor, 5 = terrible?" are values from a g. The possible responses to the question "In which year were you born?" are values from a 4. Complete the following table (9 Marks) Grades Frequency Relative in Frequency Statistics 4:90- --- 100 B:80-89 36 ---- C:65-79 90 D-50-64 30 ---- F: 28 Below 50 Tota 200 Page 3 of 3 827 words 100% Type here to search Om 9 P W O ENG 5:32 PM CA A US 2021-04-18 L