Question

You run an experiment to see if first graders with Autism report different levels of school enjoyment than their peers. You create a school enjoyment scale (1-10, 10 - Really, really enjoys school). Your first graders with Autism have a mean value of 4.56. Your control group of first graders reports a mean of 8.00 with a standard deviation of 3.21. Calculate the Z-score that will allow you to test your hypothesis rounded out two decimal places.

A) -1.11
B) -1.36
C) -1.74
D) -2.08

Answer 1

The Z-score for the given data is -1.11.

Step-by-step explanation:

To calculate the Z-score, we need to compare the mean of the first graders with Autism to the control group. The formula for Z-score is (x - μ) / σ, where x is the mean of the first graders with Autism, μ is the mean of the control group, and σ is the standard deviation of the control group.

Using the given values, the Z-score is calculated as (4.56 - 8.00) / 3.21 = -1.12. Rounded to two decimal places, this gives a Z-score of -1.11.