Answered

IDNLearn.com provides a seamless experience for finding and sharing answers. Join our community to receive prompt, thorough responses from knowledgeable experts.

A sample has mean 97 and standard deviation 12.Part: 0/2Part 1 of 2(a) What value is 2.5 standard deviations above the mean?The value that is 2.5 standard deviations above the mean is

Sagot :

[tex]\begin{gathered} \text{ Using the formula Z=}\frac{x-\mu}{\sigma} \\ \text{Where Z= s}\tan dard\text{ score, }\mu=sample\text{ mean, }\sigma=\text{ sample standard deviation} \\ From\text{ the question, } \\ z=2.5,\text{ }\mu=97,\text{ }\sigma=12, \\ \text{substituting theses values into the equation above, we have} \\ 2.5=\frac{x-97}{12} \\ 2.5\text{ x 12 = x-97} \\ 30=x-97 \\ x=30\text{ + 97} \\ x=127 \end{gathered}[/tex]

The value that is 2.5 standard deviations above the mean is 127

We are delighted to have you as part of our community. Keep asking, answering, and sharing your insights. Together, we can create a valuable knowledge resource. IDNLearn.com is committed to your satisfaction. Thank you for visiting, and see you next time for more helpful answers.