VADS customer service counts all the number of incoming calls per day during the first 7 days in May

14

24

19

31

36

26

17

a. Compute the mean.

b. Is this a statistic or a parameter? Why?

Giant Hypermarket began a study of overtime hours among its workers. A sample of 15 workers showed the following overtime hours last month

13

13

12

15

7

15

5

12

6

7

12

10

9

13

12

a. Compute the mean.

b. Is this a statistic or a parameter? Why?

Example 6

The grade point average for college students is based on a weighted mean computation. For most colleges, the grades are given the following data values: A (4), B (3), C (2), D (1), and F (0). After 60 credit hours of coursework, a student at State University earned 9 credit hours of A, 15 credit hours of B, 33 credit hours of C, and 3 credit hours of D.

a. Compute the student’s grade point average (GPA).

b. If the minimum requirement to be admitted into the business college is a 2.5 GPA for their first 60 credit hours of coursework, will this student be admitted?

Example 7

The percent increase in sales for the last four years at Amira Busana Muslim shop were: 4.91, 5.75, 8.12 and 21.60.

a. Calculate the geometric mean percent increase.

b. Calculate the arithmetic mean percent increase.

c. Based on (a) and (b), what is the relationship between geometric mean and arithmetic mean?

Example 8

Below are the costs for a year of college in public and private colleges in 1992 and 2007. What is the geometric mean annual increase for the period for the two types of colleges? Compare the rates of increase.

Type of college

1992

2007

Public

$ 4,975

$11,354

Private

12,284

27,516

Example 9

A company’s HR department was interested in the average number of years that a person works before retiring. A sample of workers shared their remaining years of service:

10

16

18

19

20

21

21

22

24

24

24

a. What is the mode? What does it signify?

b. What is the arithmetic mean? Interpret its meaning.

c. What is the median? Explain this value.

Example 10

Below are starting admission price (in RM) for one-day tickets to 10 theme parks around the Klang Valley:

58 63 41 42 29 50 62 43 40 40

a. Compute the mean, median and mode.

b. Based on the results of (a), what conclusion can you reach concerning the distribution of the starting admission price for one-day tickets?

Example 11

Two machines, A and B, are used to pack biscuits. A sample of 10 packets was taken from each machine and the mass of each packet, measured to the nearest gram, was noted. Find the standard deviation of the masses of the packets taken in the sample from each machine. Which machine, do you think, is more reliable? Explain your answer.

Machine A (mass in g)

196

198

198

199

200

200

201

201

202

205

Machine B (mass in g)

192

194

195

198

200

201

203

204

206

207

Example 12

The age distribution of a sample of 5000 people is bell-shaped with a mean of 40 years and a standard deviation of 12 years. Determine the approximate percentage of people who are 16 to 64 years old.

Example 13

Below are the graphs of two symmetrical curves. Answer the following:

a. Which curve has the larger standard deviation?

b. What is the mean for graph A?

c. If the standard deviation of Graph A is 2.5, using the Empirical Rule, about 95% of the observations fall within what two values?

Example 14

The mean income for a sample of 75 part-time assistants at IIUM is RM800 and the standard deviation is RM40.

a. According to Chebyshev’s theorem, at least what percent of the income will lie between RM600 and RM1000?

b. How many of the part-time assistants will receive the income between RM600 and RM1000?

Example 15

Suppose a distribution has a mean of 111 and standard deviation of 7.6. If Chebyshev’s Theorem tells us that 81.1% of the values are between a and b (symmetrical about the mean), then what are these values?

Example 16

A sample of five clerks revised the following number of tax records in the last hour: 73, 98, 60, 92 and 84. Compute the coefficient of skewness using the Pearson method. What is your conclusion regarding the shape of the distribution?

#### Why Choose Us

- 100% non-plagiarized Papers
- 24/7 /365 Service Available
- Affordable Prices
- Any Paper, Urgency, and Subject
- Will complete your papers in 6 hours
- On-time Delivery
- Money-back and Privacy guarantees
- Unlimited Amendments upon request
- Satisfaction guarantee

#### How it Works

- Click on the “Place Your Order” tab at the top menu or “Order Now” icon at the bottom and a new page will appear with an order form to be filled.
- Fill in your paper’s requirements in the "
**PAPER DETAILS**" section. - Fill in your paper’s academic level, deadline, and the required number of pages from the drop-down menus.
- Click “
**CREATE ACCOUNT & SIGN IN**” to enter your registration details and get an account with us for record-keeping and then, click on “PROCEED TO CHECKOUT” at the bottom of the page. - From there, the payment sections will show, follow the guided payment process and your order will be available for our writing team to work on it.