Concept explainers
For each conjecture, state the null and alternative hypotheses.
a. The average weight of dogs is 15.6 pounds.
b. The average distance a person lives away from a toxic waste site is greater than 10.8 miles.
c. The average farm size in 1970 was less than 390 acres.
d. The average number of miles a vehicle is driven per year is 12,603.
e. The average amount of money a person keeps in his or her checking account is less than $24.
a.
To state: The null and alternative hypotheses.
Answer to Problem 13E
Null hypothesis:
Alternative hypothesis:
Explanation of Solution
Given info:
The average weight of dogs is 15.6 pounds.
Justification:
Null hypothesis:
A statement about population parameter which is equal to the value mentioned in claim value, which is denoted by
Alternative hypothesis:
It is opposite to the null hypothesis. That is, it differs from the null hypothesis. The possible symbols used in the alternative hypothesis would be <,>, or ≠. It is denoted by
Here, the claim is that the average weight of dogs is 15.6 pounds. This can be written as
Null hypothesis:
Alternative hypothesis:
b.
To state: The null and alternative hypotheses.
Answer to Problem 13E
Null hypothesis:
Alternative hypothesis:
Explanation of Solution
Given info:
The average distance a person lives away from a toxic waste site is greater than 10.8 miles.
Justification:
Here, the claim is that the average distance a person lives away from a toxic waste site is greater than 10.8 miles. This can be written as
Null hypothesis:
Alternative hypothesis:
c.
To state: The null and alternative hypotheses.
Answer to Problem 13E
Null hypothesis:
Alternative hypothesis:
Explanation of Solution
Given info:
The average farm size in 1970 was less than 390 acres.
Justification:
Here, the claim is that the average farm size in 1970 was less than 390 acres. This can be written as
Null hypothesis:
Alternative hypothesis:
d.
To state: The null and alternative hypotheses.
Answer to Problem 13E
Null hypothesis:
Alternative hypothesis:
Explanation of Solution
Given info:
The average number of miles a vehicle is driven per year is 12,603.
Justification:
Here, the claim is that the average number of miles a vehicle is driven per year is 12,603. This can be written as
Null hypothesis:
Alternative hypothesis:
e.
To state: The null and alternative hypotheses.
Answer to Problem 13E
Null hypothesis:
Alternative hypothesis:
Explanation of Solution
Given info:
The average amount of money a person keeps in his or her checking account is less than $24.
Justification:
Here, the claim is that the average amount of money a person keeps in his or her checking account is less than $24. This can be written as
Null hypothesis:
Alternative hypothesis:
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