MATH 225N Statistics Final Exam
1/1 POINTS
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.
That is correct!
H0: μ≠33; Ha: μ=3...
11 points 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
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MATH 225N Statistics Final Exam
1/1 POINTS
A fitness center claims that the mean amount of time that a person spends at the gymper visit
is 33 minutes. Identify the null hypothesis, H0, and the alternative hypothesis, Ha, in terms
of the parameter μ.
That is correct!
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 orequal 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 21/1 POINTS
The answer choices below represent different hypothesis tests. Which of the choicesare
right-tailed tests? Select all correct answers.
That is correct!
H0:X≥17.1, Ha:X<17.1
,
H0:X=14.4, Ha:X≠14.4
H0:X≤3.8, Ha:X>3.8
H0:X≤7.4, Ha:X>7.4
H0:X=3.3, Ha:X≠3.3
Answer Explanation
Correct answer:
H0:X≤3.8, Ha:X>3.8
H0:X≤7.4, Ha:X>7.4
Remember the forms of the hypothesis tests.
,0/1 POINTS
Find the Type II error given that the null hypothesis, H0, is: a building inspector claimsthat no
more than 15% of structures in the county were built without permits.
That's not right.
The building inspector thinks that no more than 15% of the structures in the county werebuilt
without permits when, in fact, no more than 15% of the structures really were built without
permits.
The building inspector thinks that more than 15% of the structures in the county werebuilt
without permits when, in fact, more than 15% of the structures really were built without
permits.
The building inspector thinks that more than 15% of the structures in the county werebuilt
without permits when, in fact, at most 15% of the structures were built without permits.
The building inspector thinks that no more than 15% of the structures in the county werebuilt
without permits when, in fact, more than 15% of the structures were built without permits.
Answer Explanation
Correct answer:
The building inspector thinks that no more than 15% of the structures in the county
were built without permits when, in fact, more than 15% of the structures were built
without permits.
A Type II error is the decision not to reject the null hypothesis when, in fact, it is false. Inthis
case, the Type II error is when the building inspector thinks that no more
than 15% of the structures were built without permits when, in fact, more than 15% ofthe
structures were built without permits.
Your answer:
The building inspector thinks that more than 15% of the structures in the county were
built without permits when, in fact, at most 15% of the structures were built without
permits.
Content attribution- Opens a dialog
, QUESTION 41/1 POINTS
Suppose a chef claims that her meatball weight is less than 4 ounces, on average.
Several of her customers do not believe her, so the chef decides to do a hypothesis test, at a
10% significance level, to persuade them. She cooks 14 meatballs. The mean weight of the
sample meatballs is 3.7 ounces. The chef knows from experiencethat the standard deviation for
her meatball weight is 0.5 ounces.
H0: μ≥4; Ha: μ<4
α=0.1 (significance level)
What is the test statistic (z-score) of this one-mean hypothesis test, rounded to twodecimal
places?
The hypotheses were chosen, and the significance level was decided on, so the next
step in hypothesis testing is to compute the test statistic. In this scenario, the sample mean
weight, x¯=3.7. The sample the chef uses is 14 meatballs, so n=14. She knowsthe standard
deviation of the meatballs, σ=0.5. Lastly, the chef is comparing the population mean weight to 4
ounces. So, this value (found in the null and alternative hypotheses) is μ0. Now we will
substitute the values into the formula to compute the
test statistic:
z0=x¯−μ0σn√=3.7−40.514√≈−0.30.134≈−2.24
So, the test statistic for this hypothesis test is z0=−2.24.
QUESTION 5
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