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Confidence Interval for the Mean
Calculates a (90% - 99%) estimation of confidence interval for the mean given a small sample size using the student-t method with (n - 1) degrees of freedom or a large sample size using the normal distribution Z-score (z value) method including Standard Error of the Mean

Confidence Interval for Variance and Standard Deviation
Calculates a (95% - 99%) estimation of confidence interval for the standard deviation or variance using the χ2 method with (n - 1) degrees of freedom.

Confidence Interval of a Proportion
Given N, n, and a confidence percentage, this will calculate the estimation of confidence interval for the population proportion π including the margin of error

Confidence Interval/Hypothesis Testing for the Difference of Means
Given two large or two small distriutions, this will determine a (90-99)% estimation of confidence interval for the difference of means for small or large sample populations.
Also performs hypothesis testing including standard error calculation.

Covariance and Correlation coefficient (r) and Least Squares Method and Exponential Fit
Given two distributions X and Y, this calculates the following:
* Covariance of X and Y denoted Cov(X,Y)
* The correlation coefficient r.
* Using the least squares method, this shows the least squares regression line (Linear Fit) and Confidence Intervals of α and Β (90% - 99%)
Exponential Fit
* Coefficient of Determination r squared r2
* Spearmans rank correlation coefficient
* Wilcoxon Signed Rank test

Functions-Derivatives-Integrals
Given a polynomial expression, this calculator evaluates the following items:
1) Functions ƒ(x). Your expression will also be evaluated at a point, i.e., ƒ(1)
2) 1st Derivative ƒ'(x) The derivative of your expression will also be evaluated at a point, i.e., ƒ'(1)
3) 2nd Derivative ƒ''(x) The second derivative of your expression will be also evaluated at a point, i.e., ƒ''(1)
4) Integrals ∫ƒ(x) The integral of your expression will also be evaluated on an interval, i.e., [0,1]
5) Using Simpsons Rule, the calculator will estimate the value of ≈ ∫ƒ(x) over an interval, i.e., [0,1]

Interval Counting
Evaluates a set of interval counting statements in the form a(b)c.

Interval Notation and Set Builder Notation
This calculator translates the following inequality statements to interval notation and set builder notation:
* x < 5
* y <= 5
* z > 5
* a >= 5
* b < 5 or b > 20
* Compound Inequality such as 0 <= c < 4
* |x|<3
* Reverse Interval Notation to Inequality Statement such as (-7,5]
* {x|x<1}
* Word representations of interval notations such as 2 is less than or equal to x is less than or equal to 8

Interval Partition
Given a partitioned interval, this evaluates the norm (mesh) by calculating each subinterval

Margin of Error from Confidence Interval
Given a confidence interval, this determines the margin of error and sample mean.

P-Hat Confidence Interval
Given a large sized distribution, and a success amount for a certain criteria x, and a confidence percentage, this will calculate the confidence interval for that criteria.

Paired Means Difference
Calculates an estimation of confidence interval for a small or large sample difference of data

Proportion Sample Size
This calculator determines a sample size to select to meet certain criteria related to a confidence percentage, reliability percentage, and a p value proportion. Simply enter your values not using percentage signs. This works whether p^ is known or not known.

Sample Size Reliability for μ
Given a population standard deviation σ, a reliability (confidence) value or percentage, and a variation, this will calculate the sample size necessary to make that test valid.

Sample Size Requirement for the Difference of Means
Given a population standard deviation 1 of σ1, a population standard deviation 2 of σ2 a reliability (confidence) value or percentage, and a variation, this will calculate the sample size necessary to make that test valid.