213 results for "mean".

Question in Transition to university
Given a table of data, calculate the mean, mode and median, and complete a frequency table.

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

Question in STAT7008
Provided with information on a sample with sample mean and known population variance, use the z test to either or reject a given null hypothesis. One sided.

Question in MATH6059
Provided with information on a sample (>30) with sample mean and standard deviation, use the z test to either accept or reject a given null hypothesis.

Question in STAT7008
No description given

Find a confidence interval given the mean of a sample, population variance known adaptive marking DraftQuestion 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 in Adelle's workspace
This question provides a list of data to the student. They are asked to find the mean, median, mode and range.

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

Question in Content created by Newcastle University
Given mean and sd of 1000 sample returns on a scale of 1 to 7 together with a given score, find the zscore.
Also find the 95% confidence interval for the population mean.

Question in Content created by Newcastle University
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 in Content created by Newcastle University
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 in Content created by Newcastle University
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 in Content created by Newcastle University
Arrivals given by exponential distribution, parameter $\theta$ and $Y$, sample mean on interarrival times. Find and calculate unbiased estimator for $\theta$.

Question in Content created by Newcastle University
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.

Question in Content created by Newcastle University
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 $\lambda$.

Question in Content created by Newcastle University
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 $\lambda$.

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

Question in Content created by Newcastle University
Given a linear combination $Y$ of three independent random variables with given means and variances, find the mean of variance of $Y$.

Question in Content created by Newcastle University
Given sample data find mean, standard deviation, median, interquartile range,

Question in Content created by Newcastle University
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 in Content created by Newcastle University
Sample of size $24$ is given in a table. Find sample mean, sample standard deviation, sample median and the interquartile range.

Question in Content created by Newcastle University
Two ordered data sets, each with 10 numbers. Find the sample standard deviation for each and for their sum.

Question in Content created by Newcastle University
Two ordered data sets, each with 10 numbers. Find the sample standard deviation for each and for their sum.

Question in Content created by Newcastle University
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 in Content created by Newcastle University
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 in Content created by Newcastle University
Given three linear combinations of four i.i.d. variables, find the expectation and variance of these estimators of the mean $\mu$. Which are unbiased and efficient?

Question in Content created by Newcastle University
Find $\displaystyle \int \frac{2ax + b}{ax ^ 2 + bx + c}\;dx$

Question in Content created by Newcastle University
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 $y_ix_i,\;i=1,\dots 5$.

Question in Content created by Newcastle University
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.

Question in Content created by Newcastle University
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.