USE 2 DECIMALS TO REPORT X VALUES
USE 4 DECIMALS TO REPORT P VALUES
SHOW YOUR WORK

Given a set of normally distributed scores with  = 20 and a  = 6, what percentage of scores is…

24.5 or higher?



between 10.13 and 28.55?


20 or lower?




Between 22 and 25?


What z score(s) corresponds to…

the 40tth percentile?


the 65th percentile?


The 70th percentile?



The middle 50%?



The middle 60%?

In a distribution with  = 85 and a  = 6.45 …
what value of X separates the top 15% of the distribution?



what values of X separate the middle 60% of the distribution?



what value of X is the 25th percentile?



what values of X separate the middle 50% of the distribution?




A consumer survey indicates that the average house-hold spends μ = $185 on groceries each week. The distribution of spending amounts is approximately normal with a standard deviation of s = $25. Based on this distribution,

What proportion of the population spends more than $200 per week on groceries?


What is the probability of randomly selecting a family that spends less than $150 per week on groceries?


How much money—X value—do you need to spend on groceries each week to be in the top 20% of the distribution?