Question

You want to buy a microwave oven and will choose Model A if its repair costs are lower than Model B's. You research the repair costs of 48 Model A ovens and 55 Model B ovens. The results of your research are shown in the figure to the right. x overbar 1= $78 s1= $11.50 x overbar 2= $70 s2= $30 At alphaαequals=0.010.01, would you buy Model A? Assume the samples are randomly selected and that the samples are independent. Complete parts(a)-(e).

What is the claim?

A. Model A's repair costs are lower than Model B's

B. Model A's repair costs are different than Model B's.

C. Model A's repair costs are the same as Model B's.

D. Model A's repair costs are greater than Model B's.

What are

Upper H 0H0

and

Upper H Subscript aHa?

A.Upper H0: mu 1μ1greater than or equals≥mu 2μ2

Upper Ha:mu 1μ less than<mu 2μ2

B. Upper H 0H0:

mu 1μ1equals=mu 2μ2

Upper H Subscript aHa:

mu 1μ1not equals≠mu 2μ2

C. Upper H 0H0:

mu 1μ1less than<mu 2μ2

Upper H Subscript aHa:

mu 1μ1greater than or equals≥mu 2

(b) Find the critical value(s) and identify the rejection region(s).

The critical value(s) is/are

nothing.

(Round to two decimal places as needed. Use a comma to separate answers asneeded.)

A. zgreater than>2.575

B. zless than<minus−2.33,

zgreater than>minus−2.33

C. zless than<minus−2.33

D. zless than<3.32

E. zless than<3.32,

zgreater than>3.32

F. zgreater than>minus−3.08

G. zless than<2.575,

zgreater than>2.575

H. zless than<minus−3.08,

zgreater than>minus−3.08

(c) Find the standardized test statistic z.

z=_____(Round to two decimal places as needed.)\

(d) Decide whether to reject or fail to reject the null hypothesis. Choose the correct answer below.

A.Reject H0 The standardized test statistic is in the rejection region.

B. Reject H0 the standardized test statistic is not in the rejection region.

C. Fail to reject H0 The standardized test statistic is not in the rejection region.

D.Fail to reject H0 the standardized test statistic is in the rejection region.

(e) Interpret the decision in the context of the original claim.

At the **____%** significance level, there is
**sufficient/insufficient** to
**reject/support**

the claim that the repair costs for Model A are **lower
than/different than/equal to/greater than**

for Model B.

Answer #1

A group says that the mean daily lodging cost for a family
traveling in Region 1 is the same as in Region 2. The mean daily
lodging cost for
3939
families traveling in Region 1 is
$141141
with a population standard deviation of
$2424.
The mean daily lodging cost for
3939
families traveling in Region 2 is
$135135
with a population standard deviation of
$2525.
At
alpha equals 0.10 commaα=0.10,
is there enough evidence to reject the group's claim? Complete...

Provided below are summary statistics for independent simple
random samples from two populations. Use the pooled t-test and the
pooled t-interval procedure to conduct the required hypothesis
test and obtain the specified confidence interval.
x overbar 1x1equals=1414,
s 1s1equals=2.42.4,
n 1n1equals=1818,
x overbar 2x2equals=1515,
s 2s2equals=2.42.4,
n 2n2equals=1818
a. Two-tailed test,
alphaαequals=0.050.05
b.
9595%
confidence interval
a. First, what are the correct hypotheses for
a two-tailed test?
A.
Upper H 0H0:
mu 1μ1equals=mu 2μ2
Upper H Subscript aHa:
mu 1μ1not...

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An energy company wants to choose between two regions in a state
to install energy-producing wind turbines. A researcher claims that
the wind speed in Region A is less than the wind speed in Region B.
To test the regions, the average wind speed is calculated for
6060
days in each region. The mean wind speed in Region A is
13.713.7
miles per hour. Assume the population standard deviation is
2.82.8
miles...

Researchers investigated the physiological changes that
accompany laughter. Ninety subjects (18-34 years old) watched film
clips designed to evoke laughter. During the laughing period, the
researchers measured the heart rate (beats per minute) of each
subject, with the following summary results:
x overbarxequals=73.273.2 ,
sequals=55.
It is well known that the mean resting heart rate of adults
is
7171
beats per minute. Complete parts a through
d below.
a. Set up
Upper H 0H0
and
Upper H Subscript aHa
for...

(a) Write the claim mathematically and identify
Upper H 0H0
and
Upper H Subscript aHa.
(b) Find the critical value(s) and identify the rejection
region(s). (c) Find the standardized test statistic. (d) Decide
whether to reject or fail to reject the null hypothesis.In a sample
of
10001000
home buyers, you find that
431431
home buyers found their real estate agent through a friend.
At
alphaαequals=0.020.02,
can you reject the claim that
4040%
of home buyers find their real estate agent...

Use the given sample statistics to test the claim about the
difference between two population means
mu 1μ1 and mu μ2 at the given level of significance
alphaα=0.01.
Claim: mu 1μ1greater than>mu 2μ2,
Statistics: x overbar 1=5.2, s1=0.30, n1=48 and x overbar
2=5.6, s2=0.7 n2=37
Choose the correct null and alternative hypotheses below.
A. Upper H 0: mu 1greater thanmu 2 (Claim) Upper H Subscript
a: mu 1less than or equalsmu 2
B. Upper H 0: mu 1not equalsmu 2...

A group says that the mean daily lodging cost for a family
traveling in Region 1 is the same as in Region 2. The mean daily
lodging cost for
32
families traveling in Region 1 is
$126
with a population standard deviation of
$2828.
The mean daily lodging cost for
thirty two
families traveling in Region 2 is
$121
with a population standard deviation of
$2121.
At
alpha equals 0.10
is there enough evidence to reject thegroup's claim? Complete
parts...

The table below shows the number of hours per day 11 patients
suffered from headaches before and after 7 weeks of soft tissue
therapy. At alphaαequals=0.01,
is there enough evidence to conclude that soft tissue therapy
helps to reduce the length of time patients suffer from headaches?
Assume the samples are random and dependent, and the population is
normally distributed. Complete parts (a) through (f).
Patient Daily headache hours (before)
Daily headache hours (after)
1 3.1 2.4
2 1.8 2.2...

A researcher claims that a post-lunch nap decreases the amount
of time it takes males to sprint 20 meters after a night with only
4 hours of sleep. The table shows the amounts of time (in seconds)
it took for 10 males to sprint 20 meters after a night with only 4
hours of sleep when they did not take a post-lunch nap and when
they did take a post-lunch nap. At
alphaαequals=0.01,
is there enough evidence to support the...

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A personnel director in a particular state claims that the mean
annual income is greater in one of the state's counties (county A)
than it is in another county (county B). In County A, a random
sample of
1818
residents has a mean annual income of
$ 40 comma 100$40,100
and a standard deviation of
$ 8900$8900.
In County B, a random sample of
88
residents has a mean annual income of...

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