You have collected data on a variable, and you want to determine if a normal distribution is a reasonable model for these data. The following table shows how many of the values fall within certain ranges of z values for these data.

Perform a hypothesis test to determine if a normal distribution is an appropriate model for these data. Use a significance level of 5%.

Category z score below -2 z score from-2 to less than-1.5 z score from 1.5 to less than 1 z score from to less than0.5 z score from-0.5 to less than 0 z score from 0 to less than 0.5 z score from 0.5 to less than 1 z score from to less than 1.5 z score from 1.5 to less than 2 z score of 2 or above Total Count 48 146 248 187 125 47 25 1000