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3 confidence interval (intr) – Casio ALGEBRA FX 2.0 PLUS User Manual

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20010101

1-3 Confidence Interval (INTR)

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 for an unknown population mean

when the population standard deviation is known.

2-Sample

Z

Interval calculates the confidence interval for the difference between two

population means when the population standard deviations of two samples are known.

1-Prop

Z

Interval calculates the confidence interval for an unknown proportion of

successes.

2-Prop

Z

Interval calculates the confidence interval for the difference between the propotion

of successes in two populations.

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.

On the initial STAT Mode screen, press 4 (INTR) to display the confidence interval menu,
which contains the following items.

• 4(INTR)b(Z) ...

Z

intervals (p. 1-3-3)

c(T) ... t intervals (p. 1-3-8)

# There is no graphing for confidence interval

functions.

1-3-1

Confidence Interval (INTR)

20011101