Average Peak Heights for the Mean
Times
1. A severe storm has an average
peak wave height of 16.4 feet for waves hitting the shore. Suppose that a storm
is in progress with a severe storm class rating. Let us say that we want to set
up a statistical test to see if the wave action (i.e., height) is dying down or
getting worse. If you wanted to test the hypothesis that the waves are dying
down, what would you use for the alternate hypothesis? Is the P-value area on
the left, right, or on both sides of the mean?
2. Suppose that the mean time for
a certain car to go from 0 to 60 miles per hour was 8.6 seconds. Suppose that
you want to set up a statistical test to challenge the claim of 8.6 seconds.
What would you use for the null hypothesis?
3. Suppose that the mean time for
a certain car to go from 0 to 60 miles per hour was 6.4 seconds. Suppose that
you want to test the claim that the average time to accelerate from 0 to 60
miles per hour is longer than 6.4 seconds. What would you use for the
alternative hypothesis?
4. Suppose that the mean time for
a certain car to go from 0 to 60 miles per hour was 6.4 seconds. Suppose that
you want to test the claim that the average time to accelerate from 0 to 60
miles per hour is longer than 6.4 seconds. What would you use for the
alternative hypothesis?
5. Suppose that the mean time for
a certain car to go from 0 to 60 miles per hour was 8.7 seconds. Suppose that
you want to test the claim that the average time to accelerate from 0 to 60
miles per hour is less than 8.7 seconds. What would you use for the alternative
hypothesis?
6. Suppose that the mean time for
a certain car to go from 0 to 60 miles per hour was 7.6 seconds. Suppose that
you want to test the claim that the average time to accelerate from 0 to 60
miles per hour is different than 7.6 seconds. What would you use for the
alternative hypothesis?
7. Let x be a random variable
representing dividend yield of Australian bank stocks. We may assume that x has
a normal distribution with A random sample of 15 Australian bank stocks has a
mean For the entire Australian stock market, the mean dividend yield is Do
these data indicate that the dividend yield of all Australian bank stocks is
higher than 6.1%? Use What is the level of significance?
8. Let x be a random variable representing
dividend yield of Australian bank stocks. We may assume that x has a normal
distribution with A random sample of 18 Australian bank stocks has a sample
mean of For the entire Australian stock market, the mean dividend yield is Do
these data indicate that the dividend yield of all Australian bank stocks is
higher than 5.5%? Use What is the value of the test statistic?
9. Let x be a random variable
representing dividend yield of Australian bank stocks. We may assume that x has
a normal distribution with A random sample of 23 Australian bank stocks has a
sample mean of For the entire Australian stock market, the mean dividend yield
is Do these data indicate that the dividend yield of all Australian bank stocks
is higher than 6.7%? Use Find (or estimate) the P-value.
10. Let x be a random variable
representing dividend yield of Australian bank stocks. We may assume that x has
a normal distribution with A random sample of 24 Australian bank stocks has a
sample mean of For the entire Australian stock market, the mean dividend yield
is Do these data indicate that the dividend yield of all Australian bank stocks
is higher than 9.3%? Use If the sample test statistic find (or estimate) the
P-value.
11. Let x be a random variable
representing dividend yield of Australian bank stocks. We may assume that x has
a normal distribution with A random sample of 17 Australian bank stocks has a
sample mean of For the entire Australian stock market, the mean dividend yield
is Do these data indicate that the dividend yield of all Australian bank stocks
is higher than 6.7%? Use Are the data statistically significant at the given
level of significance? Based on your answers, will you reject or fail to reject
the null hypothesis?
12. Let x be a random variable
representing dividend yield of Australian bank stocks. We may assume that x has
a normal distribution with A random sample of 17 Australian bank stocks has a
sample mean of For the entire Australian stock market, the mean dividend yield
is Do these data indicate that the dividend yield of all Australian bank stocks
is higher than 6%? Use If the P-value is 0.045, are the data statistically
significant at the given level of significance? Based on your answers, will you
reject or fail to reject the null hypothesis?
13. When using the student’s t
distribution to test what value do you use for the degrees of freedom if the
sample size is 42?
14. Consider a test for If the
P-value is such that you can reject at the 5% level of significance, can you
always reject at the 3% level of significance?
15. If sample data is such that
for a one-tailed test of you can reject at the 2% level of significance, can
you always reject for a two-tailed test at the same level of significance?
16. A professional employee in a
large corporation receives an average of e-mails per day. Most of these e-mails
are from other employees in the company. Because of the large number of
e-mails, employees find themselves distracted and are unable to concentrate
when they return to their tasks. In an effort to reduce distraction caused by
such interruptions, one company established a priority list that all employees
were to use before sending an e-mail. One month after the new priority list was
put into place, a random sample of 38 employees showed that they were receiving
an average of e-mails per day. The computer server through which the e-mails
are routed showed that Has the new policy had any effect? Use a 5% level of
significance to test the claim that there has been a change (either way) in the
average number of e-mails received per day per employee. What is the level of
significance?
17. A professional employee in a
large corporation receives an average of e-mails per day. Most of these e-mails
are from other employees in the company. Because of the large number of
e-mails, employees find themselves distracted and are unable to concentrate
when they return to their tasks. In an effort to reduce distraction caused by
such interruptions, one company established a priority list that all employees
were to use before sending an e-mail. One month after the new priority list was
put into place, a random sample of 48 employees showed that they were receiving
an average of e-mails per day. The computer server through which the e-mails
are routed showed that Has the new policy had any effect? Use a 5% level of
significance to test the claim that there has been a change (either way) in the
average number of e-mails received per day per employee. What are the null and
alternate hypotheses?
18. A professional employee in a
large corporation receives an average of e-mails per day. Most of these e-mails
are from other employees in the company. Because of the large number of
e-mails, employees find themselves distracted and are unable to concentrate
when they return to their tasks. In an effort to reduce distraction caused by
such interruptions, one company established a priority list that all employees
were to use before sending an e-mail. One month after the new priority list was
put into place, a random sample of 45 employees showed that they were receiving
an average of e-mails per day. The computer server through which the e-mails
are routed showed that Has the new policy had any effect? Use a 5% level of
significance to test the claim that there has been a change (either way) in the
average number of e-mails received per day per employee. What is the value of
the test statistic?
ScholarMatic: Explanation & Answer
Your ready answer from a verified tutor is just a click away for as little as $14.99
Click Order Now to get 100% Original Answer Customized to your instructions!
