Question

The average weight of adult males is 184.5 pounds, with a standard deviation of 19 pounds and a normal distribution. Micah weighs 203.4 pounds. What is the standardized score for Micah's weight?

Answer 1

Here, we have given that,

The below parameters (, ) comes form the normal distribution.

= Average weight of adult male in population = 184.5 pounds

= population standard deviation of adult male= 19 pounds

= sample mean of micha weighs = 203.4 pounds,

Now, we need to find the standardized score for Micah's weight

We know that formula for the standardized score is as follows,

Z-score= \frac{\bar x - \mu }{ \sigma}

= \frac{203.4 - 184.5 }{ 19}

=   \frac{18.9}{ 19}

=0.99

The standardized score for Micah's weight is 0.99