MATH225 WEEK 8 FINAL
QUESTION 1
A fitness center claims that the mean amount of time that a person spends at the gym
per visit is 33 minutes. Identify the null hypothesis, H0, and the alternative
hypothesis, Ha, in terms of the parameter μ.
H0: μ≠33; Ha: μ=33
H0: μ=33; Ha: μ≠33
H0: μ≥33; Ha: μ<33
H0: μ≤33; Ha: μ>33
Answer Explanation
Correct answer:
H0: μ=33; Ha: μ≠33
Let the parameter μ be used to represent the mean. The null hypothesis is always
stated with some form of equality: equal (=), greater than or equal to (≥), or less than or
equal to (≤). Therefore, in this case, the null hypothesis H0 is μ=33. The alternative
hypothesis is contradictory to the null hypothesis, so Ha is μ≠33.
QUESTION 2
The answer choices below represent different hypothesis tests. Which of the choices
are right-tailed tests? Select all correct answers.
•
H0:X≥17.1, Ha:X<17.1
•
•
H0:X=14.4, Ha:X≠14.4
•
QUESTION 1
A fitness center claims that the mean amount of time that a person spends at the gym
per visit is 33 minutes. Identify the null hypothesis, H0, and the alternative
hypothesis, Ha, in terms of the parameter μ.
H0: μ≠33; Ha: μ=33
H0: μ=33; Ha: μ≠33
H0: μ≥33; Ha: μ<33
H0: μ≤33; Ha: μ>33
Answer Explanation
Correct answer:
H0: μ=33; Ha: μ≠33
Let the parameter μ be used to represent the mean. The null hypothesis is always
stated with some form of equality: equal (=), greater than or equal to (≥), or less than or
equal to (≤). Therefore, in this case, the null hypothesis H0 is μ=33. The alternative
hypothesis is contradictory to the null hypothesis, so Ha is μ≠33.
QUESTION 2
The answer choices below represent different hypothesis tests. Which of the choices
are right-tailed tests? Select all correct answers.
•
H0:X≥17.1, Ha:X<17.1
•
•
H0:X=14.4, Ha:X≠14.4
•
