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MSS - Normal Distribution Area Mid
Ready to use
Question in MESH by Brent Le Cornu and 3 others

Students are asked to move an x-axis slider representing standard deviation on a normal distribution to make the area between (mean - slider value) and (mean + slider value) equal to a certain percentage. The 3 possible percentages correspond to the mean plus or minus 1, 2 or 3 standard deviations.
MSS - Normal Distribution Area Left
Ready to use
Question in MESH by Brent Le Cornu and 1 other

Students are asked to move an x-axis slider on a normal distribution to make the area to the left of the slider equal to a certain percentage. The 6 possible percentages correspond to the mean plus or minus 1, 2 or 3 standard deviations.
MSS - Normal Distribution Mean
Ready to use
Question in MESH by Brent Le Cornu and 1 other

Students are shown a normal distribution, and a slider that moves the distribution horizontally. They are asked to move it so that the mean is equal to a particular value.
Normal distribution probability and percentiles,
Doesn't work
Question in Content created by Newcastle University by Newcastle University Mathematics and Statistics and 1 other

Given normal distribution $\operatorname{N}(m,\sigma^2)$ find $P(a \lt X \lt b),\; a \lt m,\;b \gt m$ and also find the value of $X$ corresponding to a given percentile $p$ %.
BS3.4
Draft
Question in Bill's workspace by Bill Foster

Given a random variable $X$ normally distributed as $\operatorname{N}(m,\sigma^2)$ find probabilities $P(X \gt a),\; a \gt m;\;\;P(X \lt b),\;b \lt m$ .
Probability sample mean is within d of the population mean
Doesn't work
Question in Content created by Newcastle University by Newcastle University Mathematics and Statistics

Given data on population mean and population standard deviation and three sampling sizes, calculate the probabilities that the sample means are within a specified distance from the population mean.
Find maximum likelihood estimator of mean of normal distribution
Ready to use
Question in Content created by Newcastle University by Newcastle University Mathematics and Statistics

Given sum of sample from a Normal distribution with unknown mean $\mu$ and known variance $\sigma^2$ . Find MLE of $\mu$ and one of four functions of $\mu$ .
2012 2013 CBA3_1
Ready to use
Question in Content created by Newcastle University by Newcastle University Mathematics and Statistics

For a sample of size n from a normal distribution and given the mean of the sample and the standard deviation of the distribution, find the MLE for the mean. Also the expected information and a confidence interval for the mean.
2012 2013 CBA3_2
Ready to use
Question in Content created by Newcastle University by Newcastle University Mathematics and Statistics

For a sample of size n from a Poisson distribution $\operatorname{Poisson}(\lambda)$ and given the mean of the sample, find the MLE for $\lambda$ . Also find the expected information and a confidence interval for $\lambda$ .
2012 2013 CBA3_3
Ready to use
Question in Content created by Newcastle University by Newcastle University Mathematics and Statistics

For a sample of size n from an Exponential distribution $\operatorname{Exponential}(\lambda)$ and given the mean of the sample, find the MLE for $\lambda$ . Also find the expected information and a confidence interval for $\lambda$ .
2012 2013 CBA4_3
Ready to use
Question in Content created by Newcastle University by Newcastle University Mathematics and Statistics

For a sample of size n from a normal distribution, given mean of the sample mean and the standard deviation , find the t-statistic corresponding to a null hypothesis $\mu=m$ and a given confidence level. Check if the result is significant at this level.
Calculate probabilities from a normal distribution,
Draft
Question in Content created by Newcastle University by Newcastle University Mathematics and Statistics

Given a random variable $X$ normally distributed as $\operatorname{N}(m,\sigma^2)$ find probabilities $P(X \gt a),\; a \gt m;\;\;P(X \lt b),\;b \lt m$ .
Find expectation, variance and probability sample mean in range for normal distribution, ,
Draft
Question in Content created by Newcastle University by Newcastle University Mathematics and Statistics

Normal distribution $X \sim N(\mu,\sigma^2)$ given. Find $P(a \lt X \lt b)$ . Find expectation, variance, $P(c \lt \overline{X} \lt d)$ for sample mean $\overline{X}$ .
Conditional probability in normal distribution,
Draft
Question in Content created by Newcastle University by Newcastle University Mathematics and Statistics

Given a normal distribution $X \sim N(m,\sigma^2)$ find $P(X \lt a),\; a \lt m$ and the conditional probability $P(X \gt b | X \gt c)$ where $b \lt m$ and $c \gt m$ .
Find parameters of normal distributions from bivariate distribution,
Draft
Question in Content created by Newcastle University by Newcastle University Mathematics and Statistics

Given the parameters of a bivariate Normal distribution $(X,Y)$ find the parameters of the Normal Distributions: $aX,\;bY,\;cX+dY,\; Y|(X=f),\;X|(Y=g)$

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