Question
A new drug XYZ-10 is created to help people with depression. When testing the drug, what are the null and alternative hypotheses? Question 5 options:
A new drug XYZ-10 is created to help people with depression. When testing the drug, what are the null and alternative hypotheses?
Question 5 options:
- H0: The drug XYZ-10 decreases depression.
- HA: The drug XYZ-10 increases depression.
- H0: The drug XYZ-10 affects depression.
- HA: The drug XYZ-10 does not affect depression.
- H0: The drug XYZ-10 decreases depression.
- HA: The drug XYZ-10 does not decrease depression.
- H0: The drug XYZ-10 does not decrease depression. Depression is unaffected or increases.
- HA: The drug XYZ-10 decreases depression.
Hint for Question 5
H0 (0 says null) expresses the status quo requiring no (null) action. Sampling error between sample and population, and from sample to sample, is always present. H0 is rejected when the deviation of the sample from the parameter range of H0 is large enough to exceed the range of normal variation due to sampling error. HA contradicts the status quo and requires action including an update of the status quo.
Question 6
Match the null hypothesis (H0) to the correct alternative hypothesis (H1):
__ H0: Lot A tensile strength exceeds or equals lot B tensile strength
__ H0: Lot A tensile strength is not greater than lot B tensile strength
__ H0: Lot A tensile strength is comparable to lot B tensile strength
1. | H1: The mean of Lot A tensile strength is < the mean of Lot B tensile strength |
2. | H1: The mean of Lot A tensile strength is > the mean of Lot B tensile strength. |
3. | H1: The mean of Lot A tensile strength the mean of Lot B tensile strength |
Hint for Question 6
Valid comparison symbols for H0 are =, , . Valid comparison symbols for HA are , <, and >, and point in the opposite direction(s) of the corresponding symbol in H0.
Question 7
H0: Production carburetor has at most 41 mpg vs. HA: Prototype carburetor has greater than 41 mpg. If H0 is rejected, the action will be to move the prototype to production.
What kind of test is required?
Question 7 options:
- A one-tailed test with upper reject region
- A two-tailed test with lower and upper reject regions
- A one-tailed test with lower reject region
Hint for Question 7
To reject H0, the prototype must exceed on 41 mpg and additionally improve on the production performance enough to exceed the range of random variation expected from sample to sample.
Question 8
Match up the following:
Question 8 options:
1. | Type 1 error |
2. | Type 2 error |
3. | Not an error |
4. | |
5. | |
6. | 1- |
___ The risk we are willing to take of a type 1 error, or the
type 1 error rate
___ The probability of a type 2 error
___ Not reject H0 when H0 is false
___ Reject H0 when H0 is false, or accept H0 when H0 is true
___ Reject H0 when H0 is true
___ The power of a test = P(rejecting H0|H0 false)
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