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Statistical Analysis I

Homework1

January 26, 2024

Problem 1: Select the correct answer

(a)The average age of the employees in a marketing company is 35 years. This statement describe

❼ Inferential statistics.

❼ Descriptive statistics.

(b)From past figures, it is predicted that 50% of the registered voters will vote in the presidential election. This statement describe

❼ Inferential statistics.

❼ Descriptive statistics.

Problem 2

For the following data set:

8.2   8.5   7.7   7.0   7.6

9.2   4.9   9.3   8.7   6.9

8.8   2.9   7.0   1.5   8.5

8.5   6.5   9.6   8.0   8.2

1. Construct a stem and leaf diagram.

2. Construct a relative frequency histogram using 5 classes.

Problem 3

A data set has the following frequency distribution table:

The number p is unknown. Can you construct a frequency histogram? If so, construct it. If not, say why not.

Problem 4

For the following, identify the type of the data (quantitative discrete, quantitative continuous, or qualitative):

1. Number of tickets sold to a concert.

2. Favorite soccer team.

3. Time in line to buy movie tickets.

4. Age of retirement in 20 companies.

5. Number of students enrolled at JHU.

Problem 5

Identify each variable as continuous or discrete:

1. Weight of two dozen shrimp.

2. A person’s body temperature.

3. Number of people waiting for treatment at a hospital emergency room.

4. Number of properties for sale by a real estate agency.

5. Number of claims received by an insurance company during one day.

6. Length of time for a driver to respond when faced with an impending collision.

Problem 6

For each of the following identify: Population, sample, variable, data

1. A fitness center is interested in the mean a mount of time a client exercises in the center each week.

2. A dentist is interested in the mean recovery period of his patients who have had root canals.

3. A marketing agency is interested in the proportion of people who will buy a certain product.