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This question assesses learners' ability to conduct a two sample t-test. 

This question assesses the learner's ability to compute a confidence interval for a difference of two means, given two samples.

Randomized variables: sample raw data and confidence level. 

Adapted from section 7.3.1 in OpenIntro Statistics (4th ed).

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

rebelmaths

This question plots a general amplitude modulated carrier signal defined by $v_s(t) = (V_{DC} + V_m \cos(2\pi f_m t))\cos(2\pi f_c t)$, where $V_{DC}$ is a DC offset, $V_m$ is the message amplitude, $f_m$ is the message frequency and $f_c$ is the carrier frequency ($f_c = 20f_m$ in this question). The student must identify the values of $V_{DC}$ and $V_m$ and enter these values into the appropriate gaps in the equation of the AM signal.

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Given a graph of the form either a.cos(bx) or a.sin(bx), identify the amplitude and period.

Drag a point into the specified quadrant. Uses jsxgraph

Choosing whether given random variables are qualitative or quantitative.

A normal curve is shown, with the mean and +/- 1, 2 and 3 standard deviations marked. An area of the curve is shaded and students are asked to estimate the shaded area using the heuristic rule. There are 6 possible areas: (-infty, mu-2sd), (mu-2sd, mu-1sd), (mu-1sd,mu), (mu, mu+1sd), (mu+1sd, mu+2sd), (mu+2sd, infty). The mean and standard deviation are randomised.

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Question Covering SSD & frequency response

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Student is presented with a clock showing a random time (in 15 minute increments) with an idication of whether it is morning or afternoon, along with a scheduled meeting time (in 24 hour mode). Question asks them to calculate difference between times and whether they are early or late.

how to calculate percentage

Trolley on a slope

Transistor theory and motor application

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Given some random finite subsets of the natural numbers, perform set operations $\cap,\;\cup$ and complement.

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Friction

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