Question

2) Consider two data sets.

Set A: n = 5; x = 10
Set B: n = 50; x = 10
a) Suppose the number 20 is included as an additional data value in Set A. Compute ž for
the new data set. Hint: { x = n*7. When finding the new ž, note that there would now
be 6 data values instead of 5!

Answer 1

The question revolves around statistical computations including the mean, variance, standard deviation, the Central Limit Theorem, the empirical rule, and binomial distribution approximations.

Step-by-step explanation:

The question involves computational practice in statistics, specifically focusing on calculating the mean (commonly represented by μ), variance, and standard deviation of different data sets, and how these statistical measures change with the inclusion of additional data points or by changing the sample size.

The Central Limit Theorem and the empirical rule are also referenced, which are fundamental concepts in statistics that describe the distribution of sample means and the associated probabilities for normally distributed data.

For binomial distributions, we consider the number of successes in a specific number of trials, where each trial has two possible outcomes and a constant probability of success.

There's mention of approximating a binomial distribution using a normal distribution, provided certain conditions regarding the product of the number of trials and probability of success or failure are met (np > 5 and nq > 5).