1). A golf analyst claims that the standard deviation of the 18-hole
scores for a golfer is 1.9 strokes. State
H0 and Ha in words and in symbols. Then determine whether the
hypothesis test for this claim is left-tailed, right-tailed, or two-tailed.
Explain your reasoning.
a) State the null hypothesis in words and in symbols. Choose the correct
answer below.
b) State the alternative hypothesis in words and in symbols. Choose the
correct answer below.
c)The hypothesis test is ______ because the _____ contains ____.
2) Find the P-value for the indicated hypothesis test with the given
standardized test statistic, z. Decide whether to reject H0 for the given
level of significance ?.
Two-tailed test with test statistic z=negative 2.36 and ?=0.03
P-Value=____ (Round to four decimal places as needed)
Reject or Fail to reject and why?
3.) Find the critical value(s) and rejection region(s) for the type of z-test
with level of significance ?. Include a graph with your answer.
TwoTwo-tailed test, ?=0.01
A) The critical value(s) is/are
Z equals=
(Round to two decimal places as needed. Use a comma to separate
answers as needed.)
b) Select the correct choice below and, if necessary, fill in the answer
box to complete your choice. (Round to two decimal places as needed.)
A.The rejection regions are z <?and z > ?
B.The rejection region is z < ?
C.The rejection region is z > ? c)Graph the rejection region.
4) A nutritionist claims that the mean tuna consumption by a person is
3.7 pounds per year. A sample of 70 people shows that the mean tuna
consumption by a person is 3.6 pounds per year. Assume the population
standard deviation is 1.19 pounds. At ?=0.08, can you reject the claim?
a) Identify the null hypothesis and alternative hypothesis.
b) Identify the standardized test statistic. Z=____ (round two decimal
places as needed)
c)Find the P-Value. P=____(Round three decimal places as needed)
d) Decide whether to reject or fail to reject the null hypothesis.
5.) A light bulb manufacturer guarantees that the mean life of a certain
type of light bulb is at least
748 hours. A random sample of 29 light bulbs has a mean life of 738
hours. Assume the population is normally distributed and the
population standard deviation is 56 hours. At ?=0.05
do you have enough evidence to reject themanufacturer’s claim?
Complete parts (a) through ()
a.)Identify the critical value(s). Use technology. z0=____ Use comma
to separate answers as needed. And round two decimal places as
needed.
b.)Identify the standardized test statistic.
c.) Decide whether to reject or fail to reject the null hypothesis.
6.) Find the critical value(s) and rejection region(s) for the indicated ttest, level of significance ?, and sample size n.
Two-tailed test, ?=0.02, n=17
The critical value(s) is/are ____ (Round to the nearest thousandth as
needed.)
Identify the rejection region 7) An environmentalist estimates that the mean waste recycled by
adults in the country is more than
1 pound per person per day. You want to test this claim. You find that
the mean waste recycled per person per day for a random sample of 14
adults in the country is 1.8 pounds and the standard deviation is 0.3
pound. At ?=0.10, can you support the claim? Assume the population is
normally distributed.
a) Write the claim mathematically and identify H0 and Ha.
b) Find the critical value(s) and identify the rejection region(s).
What is(are) the critical value(s), t0?
c) Find the standardized test statistic. T=_____
d) Decide whether to reject or fail to reject the null hypothesis.
e) Interpret the decision in the context of the original claim.
8) As part of your work for an environmental awareness group, you
want to test the claim that the mean waste generated by adults in the
country is more than 4.5 pounds per person per day. In a random
sample of 12 adults in the country, you find that the mean waste
generated per person per day is
5.2 pounds and the standard deviation is 1.2 pounds. At ?=0.05, can
you support the claim? Assume the population is normally distributed.
a) Write the claim mathematically and identify H0 and Ha.
b) Find the critical value(s) and identify the rejection region(s).
What is(are) the critical value(s), t0?
c) Find the standardized test statistic. T=_____
d) Decide whether to reject or fail to reject the null hypothesis.
e) Interpret the decision in the context of the original claim. 9.) You receive a brochure from a large university. The brochure
indicates that the mean class size for full-time faculty is fewer than 31
students. You want to test this claim. You randomly select 18 classes
taught by full-time faculty and determine the class size of each. The
results are shown in the table below. At ?=0.10 can you support
the university’s claim? Complete parts (a) through (d) below. Assume
the population is normally distributed.
36
25
30
31
33
40
25
26
28
33
31
26
29
28
a) Write the claim mathematically and identify H0 and Ha.
b) Use technology to find the P-value. P=____
c) Decide whether to reject or fail to reject the null hypothesis.
d) Interpret the decision in the context of the original claim.
10). The dean of a university estimates that the mean number of
classroom hours per week for full-time faculty is 11.0. As a member of
the student council, you want to test this claim. A random sample of the
number of classroom hours for eight full-time faculty for one week is
shown in the table below. At ?=0.05, can you reject the dean’s claim?
Complete parts (a) through (d) below. Assume the population is
normally distributed.
12.3
8.9
12.2
6.6 7.6 9.4 14.3 8.7
a) Write the claim mathematically and identify H0 and Ha.
b) Use technology to find the P-value. P=____
c) Decide whether to reject or fail to reject the null hypothesis.
d) Interpret the decision in the context of the original claim. 11) A car company says that the mean gas mileage for its luxury sedan is
at least 22 miles per gallon (mpg). You believe the claim is incorrect and find that a random sample of 7 cars has a mean gas mileage of 21 mpg
and a standard deviation of 5 mpg. At ?=0.05, test the company’s claim.
Assume the population is normally distributed.
Part A) Which sampling distribution should be used and why?

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