Calculate confidence interval for the mean, sample variance adaptive marking

Finding the confidence interval at either 90%, 95% or 99% for the mean given the mean and standard deviation of a sample. The population variance is not given and so the t test has to be used. Various scenarios are included.

Given a random variable $X$  normally distributed as $\operatorname{N}(m,\sigma^2)$ find probabilities $P(X \gt a),\; a \gt m;\;\;P(X \lt b),\;b \lt m$.

Finding the confidence interval at either 90%, 95% or 99% for the mean given the mean of a sample. The population variance is given and so the z values are used. Various scenarios are included.

Compute a 95% confidence interval for the population mean given a small sample, and compare it with a confidence interval for a different population.

Two ordered data sets, each with 10 numbers. Find the sample standard deviation for each and for their sum.

No description given

7 questions on numeric fractions.

No description given

No description given

No description given

No description given

No description given

No description given

No description given

No description given

No description given

No description given

testing sin, cos, tan of  random(0,90,120,135,150,180,210,225,240,270,300,315,330) degrees but in radians

multiple choice testing sin, cos, tan of angles that are negative or greater than 360 degrees that result in nice exact values. 

multiple choice testing sin, cos, tan of  random(0,90,120,135,150,180,210,225,240,270,300,315,330) degrees

multiple choice testing csc, sec, cot of random(30, 45, 60) degrees

Using the unit circle definition of sin, cos and tan, to calculate the exact value of trig functions evaluated at angles that depend on 0, 30, 45, 60 or 90 degrees.

Using $\cos^2\theta+\sin^2\theta=1$ to evaluate expressions.

Using Pythagoras' theorem to determine the hypotenuse, where side lengths include surds and students enter using sqrt syntax

No description given

Integrating a function of the form $\frac{a}{x}$ using a table of integrals / anti-derivatives.

No description given

No description given