Question

A consumer research group is interested in testing an automobile
manufacturer's claim that a new economy model will travel at least
27 miles per gallon of gasoline (*H*
_{0}: 27).

a. With a .02 level of significance and a sample of 40 cars,
what is the rejection rule based on the value of 'x bar ' for the
test to determine whether the manufacturer's claim should be
rejected (to 2 decimals)? Assume that population standard deviation
is 6 miles per gallon.

Reject *H* _{0} if is less than or equal to greater
than or equal to equal to ?

What is the probability of committing a Type II error if the
actual mileage is 25 miles per gallon (to 4 decimals)?

What is the probability of committing a Type II error if the actual
mileage is 26 miles per gallon (to 4 decimals)?

Answer #1

A consumer research group is interested in testing an
automobile manufacturer's claim that a new economy model will
travel at least 27 miles per gallon of gasoline (H
0: 27).
With a .02 level of significance and a sample of 40 cars, what
is the rejection rule based on the value of x for the test to
determine whether the manufacturer's claim should be rejected (to 2
decimals)? Assume that x is 5 miles per gallon.
Reject H 0 if x...

A consumer research group is interested in testing an automobile
manufacturer's claim that a new economy model will travel at least
26 miles per gallon of gasoline (H
0: 26).
With a .02 level of significance and a sample of 30 cars, what
is the rejection rule based on the value of for the test
to determine whether the manufacturer's claim should be rejected
(to 2 decimals)? Assume that is 6 miles per
gallon.
Reject H 0 if is Selectless than or
equal togreater...

Consider a manufacturer's claim that bricks produced by a new
and more efficient process have amean compressive strength greater
than 50.0 (measured in units of 100 pounds per square inch).Bricks
that do not meet this standard are considered nonconforming and
will not be used by thecustomer. From past experience, it is known
that the mean compressive strength of bricks is normallydistributed
with a standard deviation of 6. The bricks will not be accepted
unless we can bereasonably sure that the...

1.
(CO 7) A travel analyst claims that the mean room rates at a
three-star hotel in Chicago is greater than $152. In a random
sample of 36 three-star hotel rooms in Chicago, the mean room rate
is $163 with a standard deviation of $41. At α=0.10, what type of
test is this and can you support the analyst’s claim using the
p-value?
Claim is the alternative, fail to reject the null as p-value
(0.054) is less than alpha (0.10),...

Problem
An automobile maker claims that its newest Raptor V5s (a sports
car) have a mean fuel efficiency of 48.5 miles per gallon on
highways. A consumer advocate suspects, however, that the actual
mean fuel efficiency of the Raptor V5s on highways is less than
48.5 miles per gallon.
To test this hypothesis, the consumer advocate obtains a random
sample of 35 Raptor V5s, measures their fuel efficiencies on
highways, and calculates the sample mean fuel efficiency to be 46.2...

Do all the following problems.
I. Choose the best answer for each
multiple choice. Please use CAPITAL letters to indicate your answer
and write neatly. (30 points)
1. ____ 4.____ 7. ____ 10.____ 13.
____
2. ____ 5.____ 8. ____ 11.____ 14.
____
3. ____ 6.____ 9. ____ 12.____ 15.
____
Whenever the population standard deviation is unknown and the
population has a normal or near-normal distribution, which
distribution is used in developing an interval estimation?
A. standard distribution
B....

Will eating oatmeal promote healthy levels of cholesterol? A
consumer reports analyst took a sample of 44 people with high
cholesterol and asked them to eat oatmeal once a day for 3 months.
Measurements were taken of their cholesterol levels before and
after the 3 months in mg/dl. The analyst is testing whether the
cholesterol levels after the diet are greater than the cholesterol
levels before the diet. The hypotheses for this test are as
follows: Null Hypothesis: μD ≤...

1
Over the past several years, the proportion of one-person
households has been increasing. The Census Bureau would like to
test the hypothesis that the proportion of one-person households
exceeds 0.27. A random sample of 125 households found that 43
consisted of one person. The Census Bureau would like to set α =
0.05. Use the critical value approach to test this hypothesis.
Explain.
2
Organizations are relying more and more on social-networking
sites to research job candidates. According to...

MATHEMATICS
1. The measure of location which is the most likely to
be
influenced by extreme values in the data set is the a. range
b.
median c. mode d. mean
2. If two events are independent, then a. they must be
mutually
exclusive b. the sum of their probabilities must be equal to one
c.
their intersection must be zero d. None of these alternatives
is
correct. any value between 0 to 1
3. Two events, A and B,...

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