Question 1203279
use of the two sample z-test calculator at <a href = "https://www.statskingdom.com/120MeanNormal2.html" target = "_blank">https://www.statskingdom.com/120MeanNormal2.html</a> yields the following results.


the z-test was chosen because the population standard deviations were known and the test was for whether the means of the two samples were equal or not.


they would be considered equal if the results of the test was not significant.
the resutls of the test would not be considered significant if the two tailed p-vlue of the test was greater than .05.


the results of the test indicaed that the p-value of the test was greater than .05.
the results were therefore not considered significant and the decision was that there was not enough evidence to conswider the means of the two swamples to not be equal.
this  means that the sample means were different due to normal variations in the mean of difference samples rather than any other reason for them to be different.


here are the results of the z-test.


<img src = "http://theo.x10hosting.com/2023/081501.jpg">


<img src = "http://theo.x10hosting.com/2023/081502.jpg">


<img src = "http://theo.x10hosting.com/2023/081503.jpg">


<img src = "http://theo.x10hosting.com/2023/081504.jpg">