Question

*A market research firm is testing whether a new color scheme
for a client's website causes more time be spent reading the site.
To test this theory, the firm randomly selected 20 of the pages on
their client's site, and used the new color scheme . on Saturday.
The old color scheme was restored on Sunday. The average time in
minutes that people spent on each of the 20 pages was recorded.
Assume that both of the populations are normally
distributed.*

*The firm tests the paired data, where α=0.05, in order to
evaluate the claim that the true mean difference in the times
between the old color scheme and the new color scheme is
significantly different from zero.*

*Here, H0:μd=0, Ha:μd≠0, which is a two-tailed test.*

*Pair Old Scheme New Scheme
1 2 2.5
2 1.8 2.2
3 0.9 1
4 1.4 1.7
5 1.9 2.9
6 1.6 3.1
7 1 1.7
8 2.3 2.4
9 2.2 2.5
10 1.1 1.6
11 1.4 2.9
12 2.6 2.9
13 0.7 0.7
14 2.1 1.9
15 2.2 2.9
16 2.4 3.2
17 0.8 0.7
18 2.2 1.9
19 1.4 1
20 2.3 2.3*

The average times (in minutes) people spent looking at each page under each color scheme are provided in the above data set.

Use Excel to test the paired data and evaluate the claim that the true mean difference is significantly different from zero. For each pair, subtract the new scheme time from the old scheme time. Identify the test statistic, t, and p-value from the Excel output.

- Round your test statistic to two decimal places and your p-value to three decimal places.

Provide your answer below:

test statistic = , p-value =

Answer #1

A sociologist claims that children spent more time watching
television in 1981 than children do today. A study was conducted in
1981 to find the time that children watched television on weekdays.
Recently, a similar study was conducted. The results of these
studies (in hours per weekday) are shown below. Assume the
population standard deviation is 0.8 for 1981 and 0.6 for today. At
α=0.05, can you support the sociologist's claim? Complete parts (a)
through (d) below.
1981
1981
2.5...

A sociologist claims that children spent more time watching
television in 1981 than children do today. A study was conducted in
1981 to find the time that children watched television on weekdays.
Recently, a similar study was conducted. The results of these
studies (in hours per weekday) are shown below. Assume the
population standard deviation is 0.7 for 1981 and 0.7 for today. At
Î±=0.05, can you support the sociologist's claim?
Complete parts (a) through (d) below.
1981
3.2
1.4...

Formally assess whether time spent studying (hours) is a useful
predictor
(providing numerical justification (test statistic and P-value) for
your conclusion).
DATA three;
INPUT result hours;
/* result=0 is fail; result=1 is pass */
cards;
0 0.8
0 1.6
0 1.4
1 2.3
1 1.4
1 3.2
0 0.3
1 1.7
0 1.8
1 2.7
0 0.6
0 1.1
1 2.1
1 2.8
1 3.4
1 3.6
0 1.7
1 0.9
1 2.2
1 3.1
0 1.4
1 1.9
0...

these are percentages of annual sales growth and net sales
attributed to loyalty card usage at 74 noodels and company
restaurant
Store
Growth%
Loyalty%
Store
Growth%
Loyalty%
1
-7.7
0.7
38
7.1
1.7
2
-7.5
2.0
39
7.3
1.2
3
-6.4
1.3
40
7.7
1.7
4
-4.4
1.4
41
7.8
2.4
5
-4.1
2.0
42
8.3
2.1
6
-2.0
2.5
43 ...

Problem Set 2: Linear Regression Analysis
Research Scenario: A social psychologist is
interested in whether the number of days spent in a refugee camp
predicts trauma levels in recently resettled refugees. He
interviews 17 refugees to determine how many days they spent in a
refugee camp before being resettled, then administers the Harvard
Trauma Questionnaire Part IV (HTQ Part 4), where a higher score
indicates higher levels of trauma (Mollica et al., 1992). He
compiles the information in the table...

We wish to determine the impact of Specification Buying, X11, on
Satisfaction Level, X10. To do so we will split the Hatco data file
into two separate data sets based on the Specification Buying, X11.
This variable has two categories:
1=employs total value analysis approach, evaluating each
purchase separately;
0 = use of specification buying.
Sort the entire Hatco data set based on Specification Buying.
This will create two separate groups of records. Those records with
X11 = 0 and...

Alabama
3615
3624
2.1
69.05
15.1
41.3
20
50708
Alaska
365
6315
1.5
69.31
11.3
66.7
152
566432
Arizona
2212
4530
1.8
70.55
7.8
58.1
15
113417
Arkansas
2110
3378
1.9
70.66
10.1
39.9
65
51945
California
21198
5114
1.1
71.71
10.3
62.6
20
156361
Colorado
2541
4884
0.7
72.06
6.8
63.9
166
103766
Connecticut
3100
5348
1.1
72.48
3.1
56.0
139
4862
Delaware
579
4809
0.9
70.06
6.2
54.6
103
1982
Florida
8277
4815
1.3
70.66
10.7
52.6
11...

Have you ever wondered what it means to click the “offset carbon
emissions” button when you book a flight
or train trip? It adds a small cost to your ticket, but how does
this reduce emissions? The money is typically
used to fund projects that reduce carbon emissions. One such
project type is the introduction of more
efficient cooking stoves into communities. Much of the world
uses inefficient charcoal or wood stoves that
result in excessive indoor air pollution, deforestation,...

Have you ever wondered what it means to click the “offset carbon
emissions” button when you book a flight or train trip? It adds a
small cost to your ticket, but how does this reduce emissions? The
money is typically used to fund projects that reduce carbon
emissions. One such project type is the introduction of more
efficient cooking stoves into communities. Much of the world uses
inefficient charcoal or wood stoves that result in excessive indoor
air pollution, deforestation,...

Henrique Correa's bakery prepares all its cakes between 4
A.M.and 6 A.M.so they will be fresh when customers arrive. Day-old
cakes are virtually always sold, but at a 50% discount off the
regular $16 price. The cost of baking a cake is $10, and demand
is estimated to be normally distributed, with a mean of 25 and a
standard deviation of 7. What is the optimal stocking level? Refer
to the standard normal table LOADING... for z-values.
The optimal stocking...

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