Use the Following to Answer Questions

question 33

Short Answer

Use the following to answer questions :
A sample of 20 from a population produced a mean of 66.0 and a standard deviation of 10.0.A sample of 25 from another population produced a mean of 58.6 and a standard deviation of 13.0.Assume that the two populations are normally distributed and the standard deviations of the two populations are equal.
The null hypothesis is that the two population means are equal,while the alternative hypothesis is that the two population means are different.The significance level is 5%.
-What is the standard deviation of the sampling distribution of the difference between the means of these two samples,rounded to three decimal places?

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Definitions:

Public Story

A narrative crafted for or shared in a public domain, often influencing public perception or community identity.

Obsessive Relational Intrusion

Unwanted and invasive behaviors by one individual towards another in attempts to establish or restore intimacy.

Non-Threatening Invasion

An approach or action that enters someone's personal space in a manner perceived as safe or non-intimidating.

Acquaintance

A person one knows slightly, but who is not a close friend.