Practice Problems for Midterm 3
1. An automobile engineer would like to test his newly invented anti-lock braking
system. Specifically, he would like to calculate the average number of feet it
takes the brakes to stop a car going 50 miles per hour. The en
STAT 048
Section 6.4: Power and Inference as a Decision
Conclusions and Consequences
True State of Nature
Conclusion
H0 True
Ha True
Fail to Reject H0 Correct Decision Type II Error
Reject H0
Type I Error Correct Decision
Example: If we were to make a Typ
STAT 048
Section 8.1: Inference for a Single Proportion
Large-Sample CI for p
Confidence Interval for a Single Proportion
p = X,
n
X = # of successes in n trials
_
Sampling Distribution of
1) p = p (implies p is unbiased)
2)
p
3) p ~ N ( p ,
p z
2
pq
n
_
FormulaSheetforStatistics048
I.
Probability
ComplementRule:P(A)=1P(AC)
GeneralAdditionRule: P(A or B) = P(A) + P(B) - P(A and B)
SpecialAdditionRule: P(A or B) = P(A) + P(B)
ConditionalProbabilityFormula: P(A | B) =
P(A and B)
P(B)
GeneralMultiplicatio
PRACTICE PROBLEMS FOR TEST 2
NOTE: Given = If = When = Among
The following refers to the next two problems:
A construction company has bid on two contracts. The probability of winning contract A
is 0.3. If the company wins contract A, the probability of w
Practice Problems for Midterm 3
1. An automobile engineer would like to test his newly invented anti-lock braking
system. Specically, he would like to calculate the average number of feet it
takes the brakes to stop a car going 50 miles per hour. The eng