204 results for "sample".

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• Question in MATH6059

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.

• Question

This question provides a list of data to the student. They are asked to find the mean, median, mode and range.

• Question in Demos

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.

• Question

Sample of size $24$ is given in a table. Find sample mean, sample standard deviation, sample median and the interquartile range.

• Question

Cartesian form of the parametric representation of a surface, normal vector, and magnitude.

Accuracy for part c) should be made more stringent as can be marked correct for an incorrect answer. Use a different sample range rather than 0 to 1 would help as would setting accuracy to something less than 0.001.

• Exam (2 questions)

Statistics and probability. 2 questions, 1 on two sample t-test and 1 on paired t-test.

• Question

Given mean and sd of 1000 sample returns on a scale of 1 to 7 together with a given score, find the z-score.

Also find the 95% confidence interval for the population mean.

• Question

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.

• Question

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.

• Question

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 $\mu$.

• Question

Using a random sample from a population with given mean and variance, find the expectation and variance of three estimators of $\mu$. Unbiased, efficient?

• Question

Arrivals given by exponential distribution, parameter $\theta$ and $Y$, sample mean on inter-arrival times. Find and calculate unbiased estimator for $\theta$.

• Question

Paired t-test to see if there is a difference between times take in a task.

• 2012 2013 CBA3_1
Question

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
Question

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
Question

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
Question

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.

• Question

Find a regression equation.

• Question

Given sample data find mean, standard deviation, median, interquartile range,

• Question

The human resources department of a large finance company is attempting to determine if an employee’s performance is influenced by their undergraduate degree subject. Personnel ratings are used to judge performance and the task is to use expected frequencies and the chi-squared statistic to test the null hypothesis that there is no association.

• Question

Simple probability question. Counting number of occurences of an event in a sample space with given size and finding the probability of the event.

• Question

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.

• Question

Multiple correlation question. Given the correlation coefficent of $Y$ with $X_1$ is $r_{01}$, the correlation coefficent of $Y$ with $X_2$ is $r_{02}$ and the correlation coefficent of $X_1$ with $X_2$ is $r_{12}$ then explain the proportion of variablity of $Y$. Also find the partial corr coeff between $Y$ and $X_2$ after fitting $X_1$ and find how much of the remaining variability in $Y$ is explained by $X_2$ after fitting $X_1$.

• Question

Given 32 datapoints in a table find their minimum, lower quartile, median, upper quartile, and maximum.

• Question

Sample of size $24$ is given in a table. Find sample mean, sample standard deviation, sample median and the interquartile range.

• Question

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

• Question

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

• Question

Provided with information on a sample with sample mean and standard deviation, but no information on the population variance, use the t test to either accept or reject a given null hypothesis.

• Question

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 $\overline{X}$.

• Question

Given 32 datapoints in a table find their minimum, lower quartile, median, upper quartile, and maximum.