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7 confidence interval – Casio fx-9750G PLUS User Manual

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Confidence Interval

18-7 Confidence Interval

A confidence interval is a range (interval) that includes a statistical value, usually
the population mean.

A confidence interval that is too broad makes it difficult to get an idea of where the
population value (true value) is located. A narrow confidence interval, on the other
hand, limits the population value and makes it difficult to obtain reliable results.
The most commonly used confidence levels are 95% and 99%. Raising the
confidence level broadens the confidence interval, while lowering the confidence
level narrows the confidence level, but it also increases the chance of accidently
overlooking the population value. With a 95% confidence interval, for example, the
population value is not included within the resulting intervals 5% of the time.

When you plan to conduct a survey and then

t

test and

Z

test the data, you must

also consider the sample size, confidence interval width, and confidence level.
The confidence level changes in accordance with the application.

1-Sample

Z

Interval calculates the confidence interval when the population

standard deviation is known.
2-Sample

Z

Interval calculates the confidence interval when the population

standard deviations of two samples are known.
1-Prop

Z

Interval calculates the confidence interval when the proportion is not

known.
2-Prop

Z

Interval calculates the confidence interval when the proportions of two

samples are not known.
1-Sample

t

Interval calculates the confidence interval for an unknown population

mean when the population standard deviation is unknown.
2-Sample

t

Interval calculates the confidence interval for the difference between

two population means when both population standard deviations are unknown.

While the statistical data list is on the display, press 4 (INTR) to display the
confidence interval menu, which contains the following items.

• {

Z

}

/{

t

} ... {

Z

}/{

t

} confidence interval calculation

About data type specification

For some types of confidence interval calculation you can select data type using the
following menu.

• {

List}/{Var} ... specifies {List data}/{parameter data}

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