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112 results.

Paired sample t-test.
Draft
Question in Bill's workspace by Bill Foster and 1 other

Paired t-test to see if there is a difference between times take in a task.
Pearson1
Ready to use
Question in Julie's workspace by Julie Crowley and 2 others

Calculate the Pearson correlation coefficient on paired data and comment on the significance.

rebelmaths
Ugur's copy of Find eigenvalues and eigenvectors of matrices, and power of one matrix
Ready to use
Question in Ugur's workspace by Ugur Efem and 1 other

$A,\;B$ $2 \times 2$ matrices. Find eigenvalues and eigenvectors of both. Hence or otherwise, find $B^n$ for largish $n$ .
Roll a pair of dice - find probability at least one die shows a given number.
Ready to use
Question in Content created by Newcastle University by Newcastle University Mathematics and Statistics and 2 others

Rolling a pair of dice. Find probability that at least one die shows a given number.
Solve simultaneous equations by finding inverse matrix,
Ready to use
Question in Content created by Newcastle University by Newcastle University Mathematics and Statistics and 1 other

Putting a pair of linear equations into matrix notation and then solving by finding the inverse of the coefficient matrix.
Adaptive marking: Independent two sample t-test
Ready to use
Question in Demos by Christian Lawson-Perfect

Two sample t-test to see if there is a difference between scores on questions between two groups when the questions are asked in a different order.
Perform an independent two sample t-test
Ready to use
Question in Content created by Newcastle University by Newcastle University Mathematics and Statistics

Two sample t-test to see if there is a difference between scores on questions between two groups when the questions are asked in a different order.
Find mean and standard deviation of differences between samples
Ready to use
Question in Christian's workspace by Christian Lawson-Perfect

An experiment is performed twice, each with $5$ outcomes

$x_i,\;y_i,\;i=1,\dots 5$ . Find mean and s.d. of their differences $y_i-x_i,\;i=1,\dots 5$ .
Calculate expectation and a probability from a frequency table, , ,
Ready to use
Question in Content created by Newcastle University by Newcastle University Mathematics and Statistics

Given a probability mass function $P(X=i)$ with outcomes $i \in \{0,1,2,\ldots 8\}$ , find the expectation $E$ and $P(X \gt E)$ .
Use Bézout's algorithm to solve $as + bt = \gcd(a,b)$ ,
Ready to use
Question in Content created by Newcastle University by Newcastle University Mathematics and Statistics

Given two numbers, find the gcd, then use Bézout's algorithm to find $s$ and $t$ such that $as+bt=\operatorname{gcd}(a,b)$ .
José's copy of Two factor ANOVA
Ready to use
Question in Jos's workspace by Jos Klenner

Template question. The student is asked to perform a two factor ANOVA to test the null hypotheses that the measurement does not depend on each of the factors, and that there is no interaction between the factors.
Greatest common divisor and Bézout's algorithm
Ready to use
Question in Christian's workspace by Christian Lawson-Perfect

Given two numbers, find the gcd, then use Bézout's algorithm to find $s$ and $t$ such that $as+bt=\operatorname{gcd}(a,b)$ . Finally, find all solutions of an equation $\mod b$ .
Testing and False Positives
Has some problems
Question in Bill's workspace by Bill Foster

Given a population size and data on a test for a condition on that population, use a tabular approach to find the increase in risk after a positive test in which there is a small chance of a false positive i.e. the probability that the test is positive even though the condition is not present. See Advice for a graphical version.
True/false statements about limits of sequences
Ready to use
Question in Content created by Newcastle University by Newcastle University Mathematics and Statistics

Multiple response question (3 correct out of 6) re properties of convergent and divergent sequences. Selection of questions from a pool.
True/false statements about limits of sequences
Has some problems
Question in Content created by Newcastle University by Newcastle University Mathematics and Statistics and 1 other

Multiple response question (4 correct out of 8) covering properties of convergent and divergent sequences and boundedness of sets. Selection of questions from a pool.
Independent two sample t-test.
Draft
Question in Bill's workspace by Bill Foster

Two sample t-test to see if there is a difference between scores on questions between two groups when the questions are asked in a different order.
Eigenvalues and Eigenvectors of a 2x2 Matrix
Ready to use
Question in Hayley's workspace by Hayley Bishop

Find eigenvalues and eigenvectors of $A$ $2 \times 2$ matrix.
Pearson2
Draft
Question in Bill's workspace by Bill Foster

Calculate the Pearson correlation coefficient on paired data and comment on the significance.
Spearman1
Draft
Question in Bill's workspace by Bill Foster

Spearman rank correlation calculated. 8 paired observations.
Pearson1
Draft
Question in Bill's workspace by Bill Foster

Calculate the Pearson correlation coefficient on paired data and comment on the significance.
Spearman2
Draft
Question in Bill's workspace by Bill Foster

Spearman rank correlation calculated. 10 paired observations.
Calculate probability of combinations of events happening or not, ,
Ready to use
Question in Content created by Newcastle University by Newcastle University Mathematics and Statistics

Given $P(A)$ , $P(A\cup B)$ , $P(B^c)$ find $P(A \cap B)$ , $P(A^c \cap B^c)$ , $P(A^c \cup B^c)$ etc..
Binomial (practice of formula)
Ready to use
Question in Julie's workspace by Julie Crowley and 1 other

$X \sim \operatorname{Binomial}(n,p)$ . Find $P(X=a)$ , $P(X \leq b)$ , $E[X],\;\operatorname{Var}(X)$ .

rebelmaths
Use Green's theorem to convert line integral to double integral,
Ready to use
Question in Content created by Newcastle University by Newcastle University Mathematics and Statistics

(Green’s theorem). $\Gamma$ a rectangle, find: $\displaystyle \oint_{\Gamma} \left(ax^2-by \right)\;dx+\left(cy^2+px\right)\;dy$ .
Evaluate double integrals with numerical limits,
Ready to use
Question in Content created by Newcastle University by Newcastle University Mathematics and Statistics

Double integrals (2) with numerical limits
Calculate line integral over a straight line
Ready to use
Question in Content created by Newcastle University by Newcastle University Mathematics and Statistics and 1 other

Find $\displaystyle \int_{\Gamma} \left(x+y \right)\;dx+\left(y-x\right)\;dy,\;\Gamma$ is the line from $(0,0)$ to $(a,b)$ .
When does a sequence get within $d$ of its limit?
Ready to use
Question in Content created by Newcastle University by Newcastle University Mathematics and Statistics and 1 other

$x_n=\frac{an^2+b}{cn^2+d}$ . Find the least integer $N$ such that $\left|x_n -\frac{a}{c}\right| < 10 ^{-r},\;n\geq N$ , $2\leq r \leq 6$ . Determine whether the sequence is increasing, decreasing or neither.
Perform a one-way ANOVA
Draft
Question in Content created by Newcastle University by Newcastle University Mathematics and Statistics

One-way ANOVA example
Find least upper bounds and greatest lower bounds of four sets
Ready to use
Question in Content created by Newcastle University by Newcastle University Mathematics and Statistics

Four questions on finding least upper bounds and greatest lower bounds of various sets.
Perform a two-way ANOVA
Draft
Question in Content created by Newcastle University by Newcastle University Mathematics and Statistics

Two-way ANOVA example, 5 subjects, 4 treatments.

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