Question

Here is a link to the data set collected by the researchers containing patient responses concerning the level of pain relief they experienced over the course of the study.

Treatment | Placebo |

1 | 1 |

1 | 1 |

1 | 1 |

1 | 1 |

1 | 1 |

1 | 2 |

1 | 2 |

1 | 2 |

1 | 2 |

1 | 2 |

1 | 3 |

1 | 3 |

1 | 3 |

1 | 3 |

1 | 3 |

2 | 4 |

2 | 4 |

2 | 4 |

2 | 4 |

2 | 4 |

2 | 4 |

2 | 4 |

2 | 5 |

2 | 5 |

2 | 5 |

3 | 5 |

3 | 5 |

3 | 5 |

3 | 5 |

3 | 5 |

3 | 5 |

3 | 5 |

3 | 6 |

3 | 6 |

3 | 6 |

3 | 6 |

3 | 6 |

3 | 6 |

4 | 6 |

4 | 6 |

4 | 7 |

4 | 7 |

4 | 7 |

4 | 7 |

4 | 7 |

4 | 7 |

5 | 7 |

5 | 7 |

5 | 7 |

5 | 7 |

5 | 7 |

5 | 7 |

5 | 7 |

6 | 7 |

6 | 8 |

6 | 8 |

6 | 8 |

6 | 8 |

7 | 8 |

7 | 8 |

7 | 8 |

7 | 8 |

7 | 8 |

7 | 8 |

8 | 8 |

8 | 8 |

8 | 9 |

8 | 9 |

8 | 9 |

8 | 9 |

9 | 9 |

9 | 9 |

9 | 9 |

9 | 10 |

9 | 10 |

10 | 10 |

10 | 10 |

10 | 10 |

10 | 10 |

10 | 10 |

Perform the correct statistical test to determine the P value. Report your answer rounded to four decimal places.

Use formulas, functions, and the data analysis tool pack in Excel to avoid accruing rounding errors. Useful functions include

=t.test(array1,array2,tails,type)

to produce a P value for any type of a t test from a data set

=chidist(x,degrees of freedom)

to produce a P value from a calculated chi squared statistic

ANOVA Single Factor from the data analysis tool pack

to perform a 1-way ANOVA on a data set with only one factor

ANOVA 2-Factor from the data analysis tool pack

to perform an ANOVA on data with multiple treatments

Regression from the data analysis tool pack

to perform a linear regression and the corresponding t-test on the slope of the line

P-Value ________?

Answer #1

This is a case of t test . However it is not given whether the data is from independent samples or not. So lets assume that the 2 datasets comes from 2 independent samples and the procedure to conduct the t test is as follows in excel.

The Hypothesis is

H0: There is no significant difference between the treatment and the placebo

H1: There is a significant difference between the treatment and the placebo

also , lets consider the alpha as 0.05 , so if the p value is less than 0.05 we reject the null hypothesis

as the p value is 0.0003, which is less than 0.05 hence we reject null hypothesis

Please note that rest of the methods are not applicable for the given data

Here is a link to a data set concerning three treatment groups:
A, B, & C.
A
B
C
0.0873
0.0974
0.0956
0.0571
0.0873
0.0974
0.0813
0.0662
0.1352
0.0831
0.0672
0.0817
0.0976
0.0819
0.1016
0.0817
0.0749
0.0968
0.0859
0.0649
0.1064
0.0735
0.0835
0.105
0.0659
0.0725
0.0973
0.0923
0.0703
0.1039
0.0836
0.1026
0.1045
0.0749
0.1064
0.0571
0.065
0.11
0.0814
0.1016
0.0976
0.0835
0.0968
0.0817
0.0725
0.1064
0.0859
0.0703
0.105
0.0735
0.1026
In order to perform an ANOVA on the data to...

1. An ANOVA was carried out on a set of data with 4 groups of 4
subjects each. The responses are presented in the following
table:
Subject
A1
A2
A3
A4
S1
4
5
9
8
S2
5
5
10
8
S3
6
6
7
6
S4
5
4
6
6
Complete the ANOVA table (52 pts)
Source
SS
df
MS
F
Factor A
__
__
_
___
Subject
__
__
___
Within/error
__
__
___
Total
__
___
Find...

Here is a data set summarized as a stem-and-leaf plot:
3
00024677779
4
0003445677888899
5
04456
6
669
How many data values are in this data set? n=n=
What is the minimum value in the last class?
What is the minimum value in the entire sample?
How many of the original values are greater than 40?
The test scores for two algebra classes are shown in the Stem
and Leaf below.
Test Scores
Period 9
Period 10
9 8 2...

Question 3
Using the data set below, determine if
there is a difference in the method of advertisement strategies
employed via sample products in (1) all color, (2) all
black-and-white, and (3) a combination of both. Utilize the
appropriate statistical test to examine if the three formats differ
in attactiveness, and explain the results you achieve as to whether
or not this is the case.
Color
B & W
Combo
10
4
9
8
5
8
7
4
8
8...

Consider the data set:
x
y
1
-2.8948
2
5.806411
3
11.0518
4
5.486057
5
8.625354
6
12.95243
7
18.10561
8
21.45488
9
33.39081
10
36.66942
11
38.03181
12
43.02581
13
44.28387
14
50.17743
1.Using Excel or another tool calculate linear regression
analysis of the set. What is the slope>
2.Using the result from previous question, report R2
. Use two decimals.
3.Predict the value of y when x = 28. Use one decimal.

When I did this problem I got a very small P value and was told
it is wrong, I do not know which other test would be appropriate
for this question.
Here is a data set containing plant growth measurements of
plants grown in solutions of commonly-found chemicals in roadway
runoff.
Distilled H2O
Petro
NaCl
MgCl
NaCl + MgCl
19.93
19.85
19.87
19.91
19.73
19.91
20.06
19.88
19.92
19.77
20.08
19.99
20.04
19.84
19.75
19.99
19.88
20.05
19.98
19.93
19.9...

Here is a link to the data set collected by Dr. Hernandez. Her
research team has a data set of the weight of fishes caught from
both the contaminated lake and the pristine lake. Assume both of
these data sets have equal variance.
1.) Perform the correct statistical test and determine the P
value to test Dr. Hernandez's hypothesis. Report your answer for P
rounded to four decimal places.
Fish Weight (g)
Pristine
Contaminated
45.3
79.3
56.8
96.8
79.6
84.6...

5) The table below represents data on a variable of interest
collected from two independent groups, in which each group was
randomly assigned ten participants. A researcher is interested in
testing whether the two groups have different means.
Group 1 4 4 2 6 3 5 6 1 5 4
Group 2 6 10 4 7 8 5 9 10 6 7
a) What are the appropriate hypotheses for this analysis? b)
What is/are the critical value(s) for this test...

The data below is your data set for your mini lab. For this
assignment, you are the researcher. You gave the facial recognition
lab to 40 students, 20 males and 20 females. The data set below
contains the number of correct hits for each subject. Complete the
calculations below based on the data provided.
Males 5 5 8 5 6 7 4 5 3 4 8 5 10 6 5 5 8 7 5 6
Females 9 8 7 7...

Chapter 11: Using the attached dataset “Chapter 11 Data Set 1”
to test the research hypothesis that males raise their hands in
class more often than females. (Please note that these data are not
exactly the data provided by the author). Is this a directional or
non-directional hypothesis? Should you use a one-tailed or
two-tailed test? What is the corresponding null hypothesis? Conduct
the between groups t-test using Excel (either method). Use the .05
confidence level. What is your conclusion...

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