213 results for "mean".

### Refine by Refine by

• #### Topics

• Question

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

• 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

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

• 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

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 $\theta$.

• 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.

• 20122013 CBA0_2
Question

Given a linear combination $Y$ of three independent random variables with given means and variances, find the mean of variance of $Y$.

• Question

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

• 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

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 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

Find $\displaystyle \int \frac{2ax + b}{ax ^ 2 + bx + c}\;dx$

• 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 $y_i-x_i,\;i=1,\dots 5$.

• Question

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

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.