# Concepts of Statistics and Parameters

1. Determine whether the given value is a statistic or a parameter and explain.

In a study of all 4171 students at a college it is found that 25% own a television.

2. Determine whether the value is from a discrete or continuous data set.

Number of notes in a song 24.

3. Determine whether the given description corresponds to an observational study or an experiment. In a study of 375 men with a particular disease the subjects were asked about their diet.

Does the given description correspond to an observational study or an experiment?

4. Identify which type of sampling is used random systematic, convenience, stratified, or cluster.

A television station asks its viewers to call in their opinion regarding the variety of sports programming.

5. Statistic students participated in an experiment to test their ability to determine when 1 minute (or 60 seconds) has passed. The results one given below in seconds. Find the range, variance and standard deviation for the given sample data. Identify one reason why the standard deviation from this sample might not be a good estimate of the standard deviation for the population of adults.

56 64 67 58

Range=_____sec.

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#### Solution Preview

1. It is a parameter because it comes from the entire population (all 4171 students)

2. It is continuous because 24 is measured numerically

3. it is an ...

#### Solution Summary

The solution gived detailed steps on solving various questions on the basics of statistics. All concepts are shown and explained.

Statistics Definitions Problem

1) Determine whether the evaluated group is a population or a sample.

a) Based on a randomly selected group of 500 patients with high cholesterol, it was found that 67% have heart disease. Is this a population or a sample? Explain your answer.

b) An investigation of 150 randomly selected local restaurants concluded that 42% of local restaurants have serious health code violations. Is this a population or a sample; explain your answer.

2) Determine whether the given value is a statistic or a parameter.

a) A researcher determines that 42.7% of all downtown office buildings have ventilation problems. Is this a statistic or a parameter? Explain your answer.

b) After taking the first exam, 15 of the students dropped the class. Is this a statistic or a parameter? Explain your answer.

3) Identify the type of sampling used.

a) A tax auditor selects every 1000th income tax return that is received. What type of sample is this and why?

b) The name of each contestant is written on a separate card, and the cards are placed in a bag with three names being picked from the bag. What type of sample is this and why?

4) Is the study experimental or observation and why?

a) A political pollster reports that his candidate has a 10% lead in the polls with 10% undecided.

5) Select the study that is most appropriate and EXPLAIN WHY it is most appropriate for the study.

a) Is the aspirin produced by a particular pharmaceutical company better than that of a competitor at relieving headaches? Which of the following would best be used to study this: 1) a case-controlled observation; 2) an observation; 3) a double-blind experimental procedure; and 4) and experimental procedure.

Chapter Two

1) Identify the following variables as either qualitative or quantitative and EXPLAIN your answers.

a. The number of people on a jury.

b. The color of your house.

2) Identify the number as either continuous or discrete and EXPLAIN your answers.

a. The average height of all freshmen entering college in a certain year is 68.4 inches.

b. The number of limbs on a 2-year-old oak tree is 21.

3) Determine which of the four levels of measurement is most appropriate and explain your answer.

a. Temperatures in degrees Fahrenheit of the ocean at various depths.

b. The rank of individuals in the military.

c. The number of people with blue, brown and red hair in a classroom.

4) Determine the following (show your work):

a. The speed of a new microprocessor is 800MHZ, but a new test of its speed gives a measurement of 820MHZ. What is the absolute error? What is the relative error?

b. Convert 1/16 to a percent

c. Convert 0.45 to a percent

d. Humanities majors spend an average of $115 per course on books. Mathematics majors spend an average of $70 per course on books.

What is the percent difference between the two amounts relative to the amount for mathematics majors (round to the nearest percent)?

e. Suppose that the cost of a statistics text was $50 in 1985 and is $100 in 2000. What is the "Statistics Text Index" number, rounded to the nearest tenth, for the 2000 edition with the 1985 price as the reference value?