Question

A certain company will purchase the house of any employee who is
transferred out of state and will handle all details of reselling
the house. The purchase price is based on two assessments, one
assessor being chosen by the employee and one by the company. Based
on the sample of eight assessments shown, do the two assessors
agree? Use the .01 level of significance.

Assessments of Eight Homes ($ thousands) | ||||||||

Assessed by |
Home 1 |
Home 2 |
Home 3 |
Home 4 |
Home 5 |
Home 6 |
Home 7 |
Home 8 |

Company | 330 | 345 | 452 | 270 | 298 | 286 | 537 | 744 |

Employee | 317 | 350 | 473 | 280 | 307 | 283 | 523 | 769 |

**(a)** Choose the appropriate hypotheses. Assume
*d* = company assessed value – employee assessed
value.

*a. H*_{0}: *μ*_{d} = 0 versus
*H*_{1}: *μ*_{d} ≠ 0.

*b. H*_{0}: *μ*_{d} ≠ 0 versus
*H*_{1}: *μ*_{d} = 0.

**(b)** State the decision rule for .01 level of
significance. **(Round your answers to 2 decimal places. A
negative value should be indicated by a minus sign.)**

Reject the null hypothesis if *t*_{calc} <
_________or *t*_{calc} > __________ .

**
(c-1)** Find the test statistic

**
(c-2)** What is your conclusion?

we_______ the null hypothesis

a. reject

b. fail to reject

Answer #1

a)

*H*_{0}: *μ*_{d} = 0 versus
*H*_{1}: *μ*_{d} ≠ 0.

b)

Reject the null hypothesis if *t*_{calc} <
-3.50 or tcalc >3.50

c)

test statistic *t*_{calc} = -0.98

c-2)

fail to reject

A certain company will purchase the house of any employee who is
transferred out of state and will handle all details of reselling
the house. The purchase price is based on two assessments, one
assessor being chosen by the employee and one by the company. Based
on the sample of eight assessments shown, do the two assessors
agree? Use the .05 level of significance.
Assessments of Eight Homes ($ thousands)
Assessed by
Home 1
Home 2
Home 3
Home 4...

Rates of return (annualized) in two investment portfolios are
compared over the last 12 quarters. They are considered similar in
safety, but portfolio B is advertised as being “less
volatile.” (a) At α = .025, does the sample show that
portfolio A has significantly greater variance in rates of
return than portfolio B? (b) At α = .025, is
there a significant difference in the means?
Portfolio A
Portfolio B
5.23
8.96
10.91
8.60
12.49
7.61
4.17
6.60
5.54
7.77...

In 2009 Noodles & Company introduced spaghetti and meatballs
to their menu. Before putting it on the menu, they performed taste
tests to determine the best-tasting spaghetti sauce. In a paired
comparison, 70 tasters were asked to rate their satisfaction with
two different sauces on a scale of 1–10 with 10 being the highest.
The mean difference in ratings was:
d=–0.385714 with a standard deviation of sd
= 1.37570. Use α = 0.05.
(a)
Choose the
appropriate hypotheses for...

A cognitive retraining clinic assists outpatient victims of head
injury, anoxia, or other conditions that result in cognitive
impairment. Each incoming patient is evaluated to establish an
appropriate treatment program and estimated length of stay. To see
if the evaluation teams are consistent, 12 randomly chosen patients
are separately evaluated by two expert teams (A and B) as
shown.
Estimated Length of Stay in Weeks
Patient
Team
1
2
3
4
5
6
7
8
9
10
11
12...

A training program is being tested to see if the employee
service scores improve. The claim is The training failed. The
scores are lower after training.
Use alph=0.01alph=0.01 Use the claim for the
alternate hypothesis.
Before the training
9.4
94
66.1
42.2
117.8
105.5
After the training
2.4
85.7
57.5
33.1
117.3
102.3
Find the differences. Subtract the before row from the
after.
Choose the null and alternate hypothesis.
H0:μH0:μd = 0
H1:μH1:μd >0>0
H0:μH0:μd = 0
H1:μH1:μd <0<0
H0:μH0:μd =...

a. is there any hope for those who like to pack on late night
snacks? Does eating nuts (raw almonds, etc.) versus chips (Doritos)
and candy (M&Ms) result in less weight gain, measured in
ounces? We ran our experiment with the same participants eating
before nuts, and after eating chips and candy.
Weight gained when eating nuts as late-night snacks in oz.
Weight gained when eating chips and candy as late-night snacks
in oz.
12
15
9
16
12
15...

Nine homes are chosen at random from real estate listings in two
suburban neighborhoods, and the square footage of each home is
noted in the following table.
Size of Homes in Two Subdivisions
Subdivision
Square Footage
Greenwood
2,312
2,471
2,490
2,892
2,341
2,412
2,830
2,723
2,350
Pinewood
2,600
2,494
2,558
2,816
2,391
2,574
2,558
2,854
3,466
(a) Choose the appropriate hypothesis to test
if there is a difference between the average sizes of homes in the
two neighborhoods at the...

One group of accounting students took a distance learning class,
while another group took the same course in a traditional
classroom. At α = .10, is there a significant difference
in the mean scores listed below?
Statistic
Distance
Classroom
Mean scores
x⎯⎯1x¯1
= 9.7
x⎯⎯2x¯2
= 10.9
Sample std. dev.
s1
= 2.7
s2
= 2.5
Number of students
n1
= 21
n2
= 21
(a) consider following hypotheses. Assume
μ1 is the mean score of distance learning and
μ2...

Use Excel) A recent report criticizes SAT-test-preparation
providers for promising big score gains without any hard data to
back up such claims (The Wall Street Journal, May 20,
2009). Suppose eight college-bound students take a mock SAT,
complete a three-month test-prep course, and then take the real
SAT. Let the difference be defined as Score on Mock SAT minus Score
on Real SAT. Use Table 2.
Student
Score on Mock SAT
Score on Real SAT
1
1,868
1,852
...

Nine homes are chosen at random from real estate listings in two
suburban neighborhoods, and the square footage of each home is
noted in the following table.
Size of Homes in Two Subdivisions
Subdivision
Square Footage
Greenwood
2,780
2,710
2,404
2,622
2,413
2,888
2,378
2,609
2,650
Pinewood
2,484
2,356
2,453
2,759
2,631
2,672
2,373
2,511
3,093
(a) Choose the appropriate hypothesis to test
if there is a difference between the average sizes of homes in the
two neighborhoods at the...

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