Question

How would I find the z-obt and z-crt?

My research question is the CLS scores of children with a CI higher than the norm? My null would be children with CI do not have a higher CLS score than the norm. Alternative: children with CI have a higher CLS score than the norm. CLS score is a mean of 100 and a standad dev of 15. Mean for the CI group is 87.93 with 16 children being tested. Thank you!

Answer 1

Your question is to know the process of finding out the values of Z-obtained and Z-critical

Your hypothesis includes H0: CLS<=norm and HA: CLS>norm

To find Z-obtained, we need the values from the experiment

x, sample mean = 100

m, population mean = 87.93

s, standard deviation = 15

n, sample size = 16

Z-obtained = (x-m)/s/sqrt(n)

= (100-87.93)/(15/sqrt(16))

= 3.21

Z- critical is obtained based on the confidence level at which the test is performed

For instance, at 95% CI, Z = 1.96

At 99% CI, Z = 2.33

This is obtained from the standard normal table

If Z-obt>Z-critical, reject Null

Let me know if you need anything else, if not please don't forget to like the answer :)