the distribution of reading scale scores in the 4th grade at truman elementary school was approximately…

the distribution of reading scale scores in the 4th grade at truman elementary school was approximately normal with mean $mu = 221$ and standard deviation $sigma = 36$.\neducational researchers are conducting an intervention experiment. to participate in the experiment, a student must have a reading scale score in the lower 50% of the scores in their grade level.\nwhat is the maximum reading scale score for students to participate in the intervention experiment?\nchoose 1 answer:\na 185\nb 203

the distribution of reading scale scores in the 4th grade at truman elementary school was approximately normal with mean $mu = 221$ and standard deviation $sigma = 36$.\neducational researchers are conducting an intervention experiment. to participate in the experiment, a student must have a reading scale score in the lower 50% of the scores in their grade level.\nwhat is the maximum reading scale score for students to participate in the intervention experiment?\nchoose 1 answer:\na 185\nb 203

Answer

Explanation:

Step1: Recall property of normal distribution

In a normal - distribution, the median (50th percentile) is equal to the mean.

Step2: Identify the required value

Since the students must be in the lower 50% of scores and the mean of a normal distribution divides it into two equal parts, the maximum score for students to participate is the mean of the distribution.

Answer:

Since the mean $\mu = 221$, the maximum reading - scale score for students to participate in the intervention experiment is 221. (Note: There is an error in the provided options as 221 is not among them.)