Anova homework
how is an anova different from a t-test?
when and why do you use a post-hoc test? indicate when you use a fisher's test vs. a tukey's
hsd.
a researcher was interested in examining the decision making processes of people who work
different shifts in a factory. they ask the participants from each shift to answer a set of
questions regarding how they would deal with potential issues in the factory. below are the
scores for the number of correct answers on the test. indicate your hypotheses using statistical
notation, calculate the anova, state your decision regarding the null hypothesis, and conduct
post-hoc tests (if applicable). report your findings.
day shift: 4,4,3,1,3,4
afternoon shift: 6, 9, 8,4,8,8
night shift: 3,5,6,4,7,6

what's that

take the logarithm of both sides (the base of the log doesn't matter):

apply the exponent property - this says that :

distribute the log terms on both sides:

group like terms together:

divide through both sides by the coefficient on :

you can do some additional rewriting here using the properties of the logarithm to simplify things if you like:

third choice down

step-by-step explanation:

the first inequality is based on the number of adults and campers, and the second inequality is based on the cost of feeding both the adult and the camper.

we know that there is room for 525 people max.   it's ok to have less than 525, but it's not ok to have more than 525, so the inequality is less than or equal to.   the number combination of adults (x) and campers (y) cannot exceed this 525 max.   therefore:

x + y ≤ 525

now we talk about cost.   it costs $9 to feed one adult, so depending upon the number of adults you have (x) depends upon how much it will cost to feed that number of adults.   same with the campers, who cost $5 to feed.   the adults can be represented by 9x and the campers can be represented by 5y.   since the budget cannot exceed 1,200, the second inequality is:

9x + 5y ≤ 1200