Question

In: Statistics and Probability

3. Determine whether the given value is a statistic or a parameter. a. In a study,...

3. Determine whether the given value is a statistic or a parameter.

a. In a study, 21% respondents said they

did not vote.

b. 20% of homeowner cannot pay their

mortgage.

c. 30% of all dog owners poop scoop after

their dogs.

d. 80% of students who showed up on the first

day of class last semester passed the class

with flying color.

4. Determine whether the given values are from a discrete or continuous data.

a. Temperatures of the ocean at various

depths.

b. The voltage supplied each day to my home

in August 2018.

c. The amount of water I drank yesterday. d. The number of books I read this summer.

e. People are asked to state how many times

in the last month they visited their family

doctor.

f. The time it takes a computer to finish a

task.

Solutions

Expert Solution

3. Determine whether the given value is a statistic or a parameter.

A statistic is a value calculated using a sample which is a part of a large population. Where as a paramter is a value calculated using the large population.

a. In a study, 21% respondents said they

did not vote.

statistic

Because it is a study and in a study samples are used.

b. 20% of homeowner cannot pay their

mortgage.

Parameter

This is in general value which means for the enitre population

c. 30% of all dog owners poop scoop after

their dogs.

Parameter

Again says all dog owners means population

d. 80% of students who showed up on the first

day of class last semester passed the class

with flying color.

Statistic

Small group of students out of which only first day attenders so a sample of students.

4. Determine whether the given values are from a discrete or continuous data.

When the data is in numerical form it can be discrete or continuous. When a data is measure and the values that it can take are finite or have finite space between two values it is discrete. Eg: number of houses owned, numbers of kids, days in a month etc. On the hand if a data can take inifinite values between two values, they are continuous. Mostly ranges are used to denote them. eg: height it can be 1.75, 1.754 or 1.756.

a. Temperatures of the ocean at various

depths.

Continuous

it can have fractional values and many values

b. The voltage supplied each day to my home

in August 2018.

Continuous

Because it can take a lot of values

c. The amount of water I drank yesterday.

Continuous

Again because it can be litres , half litres etc.

d. The number of books I read this summer.

Discrete

only specific values like 1,2,6,ect

e. People are asked to state how many times

in the last month they visited their family

doctor.

Discrete

only specific values like 1,2,6,ect

f. The time it takes a computer to finish a

task.

Continuous

because can b fraction of seconds minutes, etc


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