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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 χ^{2} 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.

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 r^{2}

* Spearmans rank correlation coefficient

* Wilcoxon Signed Rank test

* 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 r

* 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) 1^{st} Derivative ƒ'(x) The derivative of your expression will also be evaluated at a point, i.e., ƒ'(1)

3) 2^{nd} 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]

1) Functions ƒ(x). Your expression will also be evaluated at a point, i.e., ƒ(1)

2) 1

3) 2

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

* 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

X is a natural number greater than 6

The sum of 5x and 2x is at least 70

Compute a 75% Chebyshev interval around the mean for x values and also for y values.

Nine less than the product of 2 and y is not less than 15

based on a sample of size 41, a 95% confidence interval for the mean score of all students,µ, on an

30 people are selected randomly from a certain town. If their mean age is 60.5 and ? = 4.6, find a 9

The principal randomly selected six students to take an aptitude test. Their scores were: 87.4 86.9

Find the confidence interval specified.

The principal randomly selected six students to take an aptitude test. Their scores were: 87.4 86.9

a confidence interval for a population mean has a margin of error of 0.081

Solve Problem

Solve the problem

Find Requested Confidence Value

a confidence interval for a population mean has a margin of error of 0.081

data below consists of the pulse rates (in beats per minute) of 32 students. Assuming ? = 10.66,

-3x<= -9 or 5+x<6

the sum of a number times 3 and 30 is less than 17

-2 <= x +4 < 9

x is smaller than 9 and greater than 4

A random sample of 40 adults with no children under the age of 18 years results in a mean daily leis

Use the definite integral to find the area between the x-axis and the function f(x)= x^2-x-12 over t

A random sample of 144 with a mean of 100 and a standard deviation of 70 is known from a population

A random sample of n = 10 flash light batteries with a mean operating life X=5 hr. And a sample stan

The NJ state education department finds that in a random sample of 100 persons who attended college,

A teacher assumed that the average of grades for a math test was 80. Imagine 20 students took the te

Which of the following descriptions of confidence interval is correct? (Select all that apply) a. I

Construct a confidence interval of the population proportion at the given level of confidence. x = 1

A random sample of 40 adults with no children under the age of 18 years results in a mean daily leis

A random sample of 25 customers was chosen in CCP MiniMart between 3:00 and 4:00 PM on a Friday afte

A random sample of 100 light bulbs has a mean lifetime of 3000 hours. Assume that the population sta

The product of x and 7 is not greater than 21

Estimate a 15% tip on a dinner bell of $49.76 by first round the bill amount to the nearest $10

Lucas is offered either 15% or $21 off his total shopping bill. How much would have to be spent to m

If approximately 68% of the scores lie between 40.7 and 59.9, then the approximate value of the sta