MATH 225N Week 8 Final Exam (Version 1)
1. Question: A fitness center claims that the mean amount of time that a person spends at the gym
per visit is 33 Identify the null hypothesis, H0, and the alternative hypothesis
...
MATH 225N Week 8 Final Exam (Version 1)
1. Question: A fitness center claims that the mean amount of time that a person spends at the gym
per visit is 33 Identify the null hypothesis, H0, and the alternative hypothesis, Ha, in terms of the
parameter μ.
2. Question: The answer choices below represent different hypothesis tests. Which of the choices
are right-tailedtests? Select all correct answers.
3. Question: Find the Type II error given that the null hypothesis, H0, is: a building inspector claims
that no more than 15%of structures in the county were built without permits.
4. Question: Suppose a chef claims that her meatball weight is less than 4ounces, 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 The mean weight of the sample
meatballs is 3.7 ounces. The chef knows from experience that the standard deviation for her
meatball weight is 0.5 ounces…….What is the test statistic (z-score) of this one-mean hypothesis
test, rounded to two decimal places?
5. Question: What is the p-value of a right-tailed one-mean hypothesis test, with a test statistic
of z0=1.74? (Do not round your answer; compute your answer using a value from the table
below.)…
51.61.71.81.90.000.9330.9450.9550.9640.9710.010.9340.9460.9560.9650.9720.020.9360.9470.
9570.9660.9730.030.9370.9480.9580.9660.9730.040.9380.9490.9590.9670.9740.050.9390.9510
.9600.9680.9740.060.9410.9520.9610.9690.9750.070.9420.9530.9620.9690.9760.080.9430.954
0.9620.9700.9760.090.9440.9540.9630.9710.977
6. Question: Kenneth, a competitor in cup stacking, claims that his average stacking time
is 2seconds. During a practice session, Kenneth has a sample stacking time mean of 7.8 seconds
based on 11 trials. At the 4% significance level, does the data provide sufficient evidence to
conclude that Kenneth’s mean stacking time is less than 8.2 seconds? Accept or reject the
hypothesis given the sample data below.
7. Question: A recent study suggested that 81%of senior citizens take at least one prescription
medication. Amelia is a nurse at a large hospital who would like to know whether the percentage
is the same for senior citizen patients who go to her hospital. She randomly selects 59 senior
citizens patients who were treated at the hospital and finds that 49 of them take at least one
prescription medication. What are the null and alternative hypotheses for this hypothesis test?
8. Question: A researcher claims that the proportion of cars with manual transmission is less
than 10%. To test this claim, a survey checked 1000randomly selected cars. Of those
cars, 95 had a manual transmission………The following is the setup for the hypothesis test:
This study source was downloaded by 100000851606723 from CourseHero.com on 09-03-2022 11:05:00 GMT -05:00
https://www.coursehero.com/file/83130574/MATH-225N-Week-8-Final-Examdocx/
{H0:p=0.10Ha:p<0.10 Find the test statistic for this hypothesis test for a proportion. Round
your answer to 2 decimal places.
9. Question: A medical researcher claims that the proportion of people taking a certain medication
that develop serious side effects is 12%. To test this claim, a random sample of 900 people taking
the medication is taken and it is determined that 93 people have experienced serious side
effects…… The following is the setup for this hypothesis test: H0:p = 0.12 Ha:p ≠12 Find the
p-value for this hypothesis test for a proportion and round your answer to 3 decimal places. The
following table can … utilized which provides areas under the Standard Normal Curve:
10. Question: An economist claims that the proportion of people who plan to purchase a fully
electric vehicle as their next car is greater than 65%.
11. Question: Becky’s statistics teacher was teaching the class how to perform the z-test for a
proportion. Becky was bored because she had already mastered the test, so she decided to see if
the coin she had in her pocket would come up heads or tails in a truly random fashion when
flipped. She discretely flipped the coin 30times and got heads 18 times…… Becky conducts a
one-proportion hypothesis test at the 5% significance level, to test whether the true proportion
of heads is different from 50%……….. Which answer choice shows the correct null and alternative
hypotheses for this test?
12. Question: John owns a computer repair service. For each computer, he charges $50plus $45 per
hour of work. A linear equation that expresses the total amount of money John earns per
computer is y=50+45x. What are the independent and dependent variables? What is the yintercept and the slope?
13. Question: Ariana keeps track of the amount of time she studies and the score she gets on her
quizzes. The data are shown in the table below. Which of the scatter plots below accurately
records the data?
14. Question: Data is collected on the relationship between time spent playing video games and
time spent with family. The data is shown in the table and the line of best fit for the data
is y^=−0.27x+57.5. Assume the line of best fit is significant and there is a strong linear
relationship between the variables…….
Video Games (Minutes) 306090120 Time with Family (Minutes) 50403525…… According to the
line of best fit, the predicted number of minutes spent with family for someone who
spent 95 minutes playing video games is 85. Is it reasonable to use this line of best fit to make
the above prediction?
15. Question: Which of the following are feasible equations of a least squares regression line for the
annual population change of a small country from the year 2000to the year 2015? Select all that
apply.
This study source was downloaded by 100000851606723 from CourseHero.com on 09-03-2022 11:05:00 GMT -05
[Show More]
