In: Statistics and Probability
1) A protein shake company Bulk Builders has been taking data on how their shake builds muscles. The data from their population is average Joe gains a µ=10lbs of muscle, with a standard deviation of 4 lbs. The company would like to make better claims and wants to know what the probability of getting a gain of SEM=20lbs. You will need to find the z score but, first draw the normal curve and shade in the area that they are interested in finding.
2) An Industrial Organizational (IO) psychologist got some data
from a test they did on productivity. They collected productivity
scores (from 1-100 points) from n=8 participants. The scores were:
78, 85,64, 90 and 88.
a. Find the mean variance, and standard deviation of this
group.
b. Suppose the µ=76, what is the z score?
c. What is the probability of getting this mean-draw the
curve!
d. What is the SEM for this particular group?
This is straight from my teachers HW, there is no other data. If anything answer for either of these and I'll give you an upvote.
This problem uses the concept of Normal Distribution, first we calculate the z score , then we find the probability using the z scores