4.1

What are the major tools used in the Theorize step?

A schematic curve. A probability table. A transformation equation.

Please abstract the situation below by matching the symbols with their appropriate numbers. A 30-year-old veterinarian wanted to know if the puppies born in her clinic weighed less than 0.5 pounds on average. So, she weighed 25 puppies and found a sample average weight of 0.55 pounds. A.x B.n C.μ

A. .55 B. 25 C. 0.5

Please abstract the situation below by matching the symbols with their appropriate numbers. An engineer was responsible for 5 machines making ball bearings that were supposed to be 1.2 cm in diameter with standard deviation of 0.01 cm. He suspected that one of the machines was making too small ball bearings, so he measured 37 ball bearings from this machine and found an average diameter of 1.15 cm with a standard deviation of 0.015 cm. A.μ B.x C.σ D.s

A. 1.2 : B. 1.15 : C. 0.01 : D. 0.015

Please select an appropriate end result for the following two steps of the General Method for Solving Problems in Statistics. A. The Theorize Step B. The Analyze Step

A. a t-value coming from the probability : B. a t-value coming from the sample

Please abstract the situation below by matching the symbols with their appropriate numbers. Zillow lists the average home price in our area as $215,816 with a standard deviation of $21,500. To find out if this was still true, a real estate professional collected the data for 58 recently sold homes and found an average of $235,000 with a standard deviation of $23,500. A.μ B.x C.σ D.s

A: $215,816 B : $235,000 C : $21,500 D : $23,500

Please select all steps in the General Method for Solving Problems in

Abstract. Theorize. Analyze. Infer.

If knowing any one value in a column of data values, why is knowing the value of the population mean important?

Because in the normal distribution, most of the data values are clustered close to the mean value.

Why is knowing the value of the population mean important?

Because it gives one value that is in the middle of all the data values.

Why is the sample average important in statistics?

Because it is the best sample estimator for the population mean.

Please select the two most important inferential statistical methods.

Confidence intervals. Hypothesis tests.

What occurs in the Analyze step?

The calculations for the method chosen.

Why does the population contain more information than a sample?

The population has more data values than a sample.

Select all steps used in the process to do statistical inference.

Theorize Analyze Infer

Please select what is NOT the purpose of the Process of Abstraction?

To see how the situation fits into the field of statistics.

Please select one answer in response to the statement: "We can never know the true value of a population mean".

True, because we can never see the entire population to do the calculation.

Why does more data values contain more information?

Using more data values in the statistics gives a better idea of all the data values in the population.

What type of statistics is used to get population information?

inferential statistics because they infer the population values.

What occurs in the Infer step?

Inferring a population value from a sample value.

To make an important decision in life, we want to know what type of information from statistics?

Population information.

What type of statistics is used to get sample information?

Descriptive statistics because they describe the sample.