SOPHIA TEST 2 Q & A WTH RATIONALES
You passed this Milestone
Which statement is TRUE regarding independent and dependent events?
Dependent events do not affect the probability of one another.
One independent event does not affect the probability of another independent event.
, SOPHIA TEST 2 Q & A WTH RATIONALES
The probability of two independent events both occuring can be calculated through addition.
The probability of two dependent events both occuring can be calculated through addition.
RATIONALE
Remember that "AND" probability means we add when one event is not dependent on the other event. The
outcome of a dependent event relies on what happened to the other event, so its outcome will change.
CONCEPT
Identifying Independent and Dependent Events
Clarice was in the process of creating a report on the performance of her students and was trying to determine
the z-score related to overall student scores.
If the mean percentage of students was 75% and the standard deviation was 10%, what z-score would
correspond to a student that ended the course with a 95%?
1
3
-3
, SOPHIA TEST 2 Q & A WTH RATIONALES
2
-2
-1
RATIONALE
, SOPHIA TEST 2 Q & A WTH RATIONALES
Remember the formula for z-score is:
For this problem these values are as follows:
Plugging these values into the formula for a z-score gives the following:
CONCEPT
Calculating z-Scores
2
Irin was conducting some tests to determine if there was a relationship between consumption of diet soda and
weight loss. Her null hypothesis was that diet soda does not play any role in weight loss, and her alternate
hypothesis was that diet soda causes an increase in weight.
If Irin completed her study, which of the following statements would indicate a Type I error?
Testing indicates that diet soda causes weight gain when in reality there is no relationship between
the two.
You passed this Milestone
Which statement is TRUE regarding independent and dependent events?
Dependent events do not affect the probability of one another.
One independent event does not affect the probability of another independent event.
, SOPHIA TEST 2 Q & A WTH RATIONALES
The probability of two independent events both occuring can be calculated through addition.
The probability of two dependent events both occuring can be calculated through addition.
RATIONALE
Remember that "AND" probability means we add when one event is not dependent on the other event. The
outcome of a dependent event relies on what happened to the other event, so its outcome will change.
CONCEPT
Identifying Independent and Dependent Events
Clarice was in the process of creating a report on the performance of her students and was trying to determine
the z-score related to overall student scores.
If the mean percentage of students was 75% and the standard deviation was 10%, what z-score would
correspond to a student that ended the course with a 95%?
1
3
-3
, SOPHIA TEST 2 Q & A WTH RATIONALES
2
-2
-1
RATIONALE
, SOPHIA TEST 2 Q & A WTH RATIONALES
Remember the formula for z-score is:
For this problem these values are as follows:
Plugging these values into the formula for a z-score gives the following:
CONCEPT
Calculating z-Scores
2
Irin was conducting some tests to determine if there was a relationship between consumption of diet soda and
weight loss. Her null hypothesis was that diet soda does not play any role in weight loss, and her alternate
hypothesis was that diet soda causes an increase in weight.
If Irin completed her study, which of the following statements would indicate a Type I error?
Testing indicates that diet soda causes weight gain when in reality there is no relationship between
the two.
