normal distributions

If you want to test Ho = 0 versus H1≠ 1,with significance level alpha, but instead of testing this directly, you have a strategy: -> X1,...,Xn is a random sample from a N(µ,σ2) distribution with σ2 known (I shall denote the mean of X as X(m)) and we obtain Z = X(m)/(σ/√n) If Z > 0, let H1 : µ >...

Suppose that I sample 4 independent datasets from different, 1D normal distributions: data1, data2, data3 and data4. I want to test if data1 and data2 have closer means compared to data3 and data4, e.g if |m_1 - m_2| < |m_3 - m_4| I define the following variable Zij: if m_i - m_j...

Hi :) I am new here on the forum and find it a bit difficult to learn the way to go at different statistics/probability - problems. For the most times I am able to figure it out myself doing some research, but the last two problems has got me stuck for a few days. I would be really thankful for...

Hello. I am having a problem with my dissertation and I was wondering if anyone is kind enough to help me out. I am running a within-subjects correlational study using two independent variables, Organizational Identity (OI) and Narcissistic Organizational Identity (NOI). I have 5 dependent...

Identify an example of a population that you would expect to be normally distributed. Explain why, according to you, it would be normally distributed. Then, describe a subset of the population you identified and explain why it would not be normally distributed and what the distribution would...

I am looking at several normal distributions that describe the same metric for different populations (independent). I want to find the probability that they are in a certain order. For example, I have distributions A, B, C, and D. I want to know the probability that they are ranked from...