STA 100 FINAL EXAM STUDY GUIDE
QUESTIONS AND ANSWERS WITH
VERIFIED SOLUTIONS 100% CORRECT
A person can achieve a target 3 out of 4 times. The count of tries
is 5. This is an example of Binomial. - correct answer-
true
A regression line is best at predicting the average value of Y at a
particular X, not the exact value of Y at a particular X. -
correct answer- TRUE. The regression line represents the
average response of Y when X = x, not a particular response.
Asking 20 people how old they are. This is an example of non
Binomial. - correct answer- true
Assessing Normality - correct answer- Determining
whether the sample data are from a normally distributed
population
1. Empirical rule if the data is approximately normal then 68% of
data should lie between 1SD, 95% between 2SD and 99.5%
between 3SD.
2. QQ plots
,Assume the p-value for a hypothesis test of H0 : µ1 = µ2 is
0.0020
Our conclusion at any common value of α would be to reject H0.
- correct answer- TRUE. Since 0.002 < 0.01 (our smallest
common value of α), we would reject H0.
Assume the p-value for a hypothesis test of H0 : µ1 = µ2 is
0.0020
The one-sided p-value for this test would then be 0.0010. -
correct answer- TRUE. One of the one-sided p-values
would certainly be 0.0010 = 0.0020/2.
Assume the p-value for a hypothesis test of H0 : µ1 = µ2 is
0.0020
This means the probability of a Type II error is 0.0020. -
correct answer- FALSE. The probability of a Type II error is
in general not knowable, since it assumes an alternative is true,
but there are infinitely many alternatives
Assume the p-value for a hypothesis test of H0 : µ1 = µ2 is
0.0020
, This means the probability of H0 being true is 0.0020 - correct
answer- FALSE. To calculate a p-value we assume the null
hypothesis is true, and calculate the probability of observing our
sample data (or more extreme) if the null was true.
Assumptions for ANOVA - correct answer- 1. Groups are
independent
2. Random samples was taken from groups
3. Normal distribution of populations
4. all variances are equal
Assumptions for Categorical Proportion Data - correct
answer- 1. Proportions are normally distributed
2. y is greater than or equal to 5
(n-y) is greater than or equal to 5
majority of something means the bounds are above 0.5
Assumptions for Confidence Interval of C.I - correct answer-
1. Normally distributed
a. a normal sample was taken b. CLT
2. A random sample was taken
QUESTIONS AND ANSWERS WITH
VERIFIED SOLUTIONS 100% CORRECT
A person can achieve a target 3 out of 4 times. The count of tries
is 5. This is an example of Binomial. - correct answer-
true
A regression line is best at predicting the average value of Y at a
particular X, not the exact value of Y at a particular X. -
correct answer- TRUE. The regression line represents the
average response of Y when X = x, not a particular response.
Asking 20 people how old they are. This is an example of non
Binomial. - correct answer- true
Assessing Normality - correct answer- Determining
whether the sample data are from a normally distributed
population
1. Empirical rule if the data is approximately normal then 68% of
data should lie between 1SD, 95% between 2SD and 99.5%
between 3SD.
2. QQ plots
,Assume the p-value for a hypothesis test of H0 : µ1 = µ2 is
0.0020
Our conclusion at any common value of α would be to reject H0.
- correct answer- TRUE. Since 0.002 < 0.01 (our smallest
common value of α), we would reject H0.
Assume the p-value for a hypothesis test of H0 : µ1 = µ2 is
0.0020
The one-sided p-value for this test would then be 0.0010. -
correct answer- TRUE. One of the one-sided p-values
would certainly be 0.0010 = 0.0020/2.
Assume the p-value for a hypothesis test of H0 : µ1 = µ2 is
0.0020
This means the probability of a Type II error is 0.0020. -
correct answer- FALSE. The probability of a Type II error is
in general not knowable, since it assumes an alternative is true,
but there are infinitely many alternatives
Assume the p-value for a hypothesis test of H0 : µ1 = µ2 is
0.0020
, This means the probability of H0 being true is 0.0020 - correct
answer- FALSE. To calculate a p-value we assume the null
hypothesis is true, and calculate the probability of observing our
sample data (or more extreme) if the null was true.
Assumptions for ANOVA - correct answer- 1. Groups are
independent
2. Random samples was taken from groups
3. Normal distribution of populations
4. all variances are equal
Assumptions for Categorical Proportion Data - correct
answer- 1. Proportions are normally distributed
2. y is greater than or equal to 5
(n-y) is greater than or equal to 5
majority of something means the bounds are above 0.5
Assumptions for Confidence Interval of C.I - correct answer-
1. Normally distributed
a. a normal sample was taken b. CLT
2. A random sample was taken
