Stats Help for College-level Students

Normal approximation to binomial distribution

It is known that in a sack of mixed bean seeds, 35% are yellow beans. Use the normal approximation to the binomial distribution to find the probability that in a sample of 400 beans there are a) less than 120 yellow beans b) between 120 and 150 yellow beans (inclusive) c) more than 160 yellow beans

Normal approximation to binomial distribution

A pair of fair dice is tossed 100 times and the total observed on each occasion. What is the probability of getting more than 25 sevens?

Normal & Poisson approximation to binomial distribution

A fair coin is tossed 100 times. The event that the number of heads obtained is less than 35 is denoted by A. By using a suitable approximation to the binomial distribution, calculate the probability of A. The event that A occurs more than 3 times when 2000 such coins are each tossed 100 times is denoted by B. By usin ...continues

Normal and Poisson approximation to binomial distribution

In each month, the proportion of "Prize" bonds that win a prize is 1 in 11000. There is a large number of prizes and all bonds are equally likely to win each prize. Show that, for a given month, the probability that a bondholder with 5000 bonds wins at least one prize is 0.365. For a given month find: 1) The probability taht ...continues

What is a Wilcoxon-Whitney Test and when is it used?

What is a Wilcoxon-Whitney Test and when is it used? I am not sure when to use the Wilcoxon-Whitney Test and what it is testing. Can you provide me with this information? Thanks.

What is a Runs Test and when is it used?

What is a Runs Test and when is it used? An example would be helpful.

What is the Kruskal-Wallis Test and when is it used?

What is the Kruskal-Wallis Test and when is it used?

Mathematical models to design effective hypothesis testing during experiments

Trying to use mathematical models to design effective hypothesis testing during experiments. In hypothesis analysis the null hypothesis and significance level of the test must be set prior to data collection. When the consequences of false judgment are severe, one needs to fine tune test parameters in order to control the magni ...continues

ANOVA - Transformed data vs. normal distribution

A study of crime rates was recently taken in three cities in the United States. Neighborhoods of size 1000 were randomly sampled from three different cities (populations): New York, LA, and Washington. The number of crimes occurred in the last five years in each neighborhood were recorded. The average annual income in each neigh ...continues

Estimation Theory, Unbiased estimator

Estimation Theory, Unbiased estimator. Refer to attached.