Final Exam Questions and Answers
Updated 2026/2027 Version | Verified
Answers
1. Which measure lets you measure your height compared to your maternal
family tree and your height compared to your paternal family tree? -
ANSWER ✅ z-scores let us measure two samples by putting them to the
same scale.
2. There are four shopping carts available and one has a broken wheel. What is
your probability of selecting the cart with the broken wheel? - ANSWER ✅
25% (1/4 = 0.25)
3. There is a 20% of parking close to the door and a 30% chance of getting the
shopping cart with a squeaky wheel. How do we calculated the probability
of both events occurring? - ANSWER ✅ Multiply Key Words: AND, ALL,
BOTH
4. There is a 20% of parking close to the door and a 30% chance of getting the
shopping cart with a squeaky wheel. How do we calculated the probability
of either event occurring? - ANSWER ✅ Addition Key Words: OR,
EITHER
5. Multiplying two events calculates an ____________ - ANSWER ✅
Intersection
,6. Adding two events calculates a _______________ - ANSWER ✅ Union
7. The grocer is running a 10 for $10 special on cans of soup. You can mix and
match the 5 different flavors of soup. You decide to purchase 10 cans. What
can we use to count all the possible outcomes of flavors picked? - ANSWER
✅ Combination
8. There is a 90% chance you will have to wait in line for more than 6 minutes
to check out at the grocer. What is the complement? - ANSWER ✅ 10%. If
there is a 90% chance of yes, then there is a 10% chance of no. 90% + 10%
= 100%
9. 50% chance it will rain. There is a 20% chance you park in the garage in the
rain and a 60% chance you park there if it is not raining. Given you are
parked in the garage, what is the probability it is raining? Which probability
technique applies? - ANSWER ✅ Bayes
10.You conduct a quick survey asking friends to rate your new website on a
scale of 1 - 10. Which graph will show how the responses are distributed? -
ANSWER ✅ Histogram. Keyword: Distribution (How many people
answered 1, 2, 3...... NOTE: The histogram is a bar chart
11.You have the number of customers that visit your website by clicking on a
promotion email. Which graph can show you if sales are correlated to the
number of promotional emails each week? - ANSWER ✅ Scatter Diagram
Keyword: Correlation or Relationship
12.A relationship is stronger when r is closer to what number? - ANSWER ✅ 1
(100%)
,13.A relationship is weakest when r is closer to what number? - ANSWER ✅ 0
14.As sales increase, estimated delivery times decrease. This relationship is
_______ - ANSWER ✅ Negative
15.As the age of the customer increases, the credit score increases. This
relationship is_______ - ANSWER ✅ Positive
16.Which tool helps us collect and organize the data for a histogram? -
ANSWER ✅ Check sheet
17.You want to compare the average daily gas prices in your neighborhood to
average daily gas prices by the Interstate. Name your tool. - ANSWER ✅
Two Sample t-test
18.You want to compare the average weekly gas prices in your neighborhood to
your annual budgeted price. Name your tool. - ANSWER ✅ One Sample t-
test
19.T-test uses this test statistic - ANSWER ✅ T-stat. (must be higher than
critical value to reject the null)
20.ANOVA uses this test statistic - ANSWER ✅ F-stat. (must be higher than
critical value to reject the null)
21.You want to compare price per gallon between the neighborhood gas station,
the Grocer station and the Interstate station. Name your tool. - ANSWER ✅
ANOVA
, 22.You want to compare the number of times the price per gallon at your
neighborhood station and the Grocer station exceeds the budget price. Name
your tool. - ANSWER ✅ Chi-square. The # of times is a frequency, not an
average. This is nominal data.
23._________takes information from one data set and can predict information
for another data set. - ANSWER ✅ Regression
24.There is no significant difference in the price per gallon between Station #1
and Station #2. Which hypothesis am I? - ANSWER ✅ Null Null is always
"no"
25.Your p-value is 0.04. Can you reject the null? - ANSWER ✅ Yes. LESS
then 0.05 means YES. when interpreting the p-value.
26.Your t-stat is 2.06 and your t-critical is 1.65. Can you reject the null? -
ANSWER ✅ Yes. If your score (t-stat) is larger than your cut score (t-
critical), you pass the test!
27.Your F-stat is 0.26 and you F-critical is 1.96. Can you reject the null? -
ANSWER ✅ No. If your score (F-stat) is smaller than your cut score (F-
critical), you do not pass the test. We can only Reject when we pass.
28.Your reject the null hypothesis. Did you find significance? - ANSWER ✅
Yes. Rejecting the null ("no") means we found something statistically
significant. Yay!