Finding Z-Scores, Standard Deviation, Mean and X

Composite scores on the ACT are normally distributed with a mean of 21 and standard deviation of 5. Find the z-score for a student that gets a 31.

Composite scores on the ACT are normally distributed with a mean of 21 and standard deviation of 5. Find the z-score for a student that scores a 28.

(a)  

Home prices in a certain neighborhood are normally distributed with a mean of $200,000 and a standard deviation of $10,000. Which of the following is the z-score for a home that costs $193,000?

What is the correct formula for finding z-scores?

There are 100 franchises of Betty's Boutique in similar shopping malls across America. The gross Saturday sales of these boutiques are approximately normally distributed with a mean of $4610 and a standard deviation of $370.

Find the z-score of a gross Saturday sales amount of $4425.

In a given dataset 52% of data falls above 119. The dataset has a standard deviation of 5.2. If you were going to use the z-score formula to calculate a missing value, what would you substitute in for each of the following values?

For a test with a mean score of 81 and a standard deviation of 5, your score is 78. How would you use the z-score formula to find the standardized score, z?

There are 100 franchises of Betty's Boutique in similar shopping malls across America. The gross Saturday sales of these boutiques are approximately normally distributed with a mean of $4610 and a standard deviation of $370. Find the z-score of a gross Saturday sales amount of $3870.

Suppose a data set is represented by a normal distribution with a mean of 10 and a standard deviation of 2.

What is z-score for a data of 17?

The mean weight of newborn infants is 7 pounds and the standard deviation is 0.8 pounds. The weights of newborn infants are normally distributed. Find the z-score for a weight of 9 pounds.