Question

An experiment was designed to compare the lengths of time that
four different drugs provided pain relief after surgery. The
results (in hours) follow. Is there enough evidence to reject the
null hypothesis that there is no significant difference in the
length of pain relief provided by the four drugs at *α* =
.05?

Drug | |||

A | B | C | D |

5 | 5 | 9 | 2 |

8 | 5 | 9 | 2 |

3 | 5 | 12 | 3 |

4 | 6 | 9 | |

8 |

(a) Find the test statistic. (Give your answer correct to two
decimal places.)

(ii) Find the *p*-value. (Give your answer bounds
exactly.)

< *p* <

Answer #1

The statistical software output for this problem is:

Hence,

a) Test statistic = **16.95**

b) p - Value bounds:

**0 < p < 0.005**

An experiment was designed to compare the lengths of time that
four different drugs provided pain relief after surgery. The
results (in hours) follow. Is there enough evidence to reject the
null hypothesis that there is no significant difference in the
length of pain relief provided by the four drugs at α =
.05?
Drug
A
B
C
D
4
5
11
3
5
4
9
3
3
3
12
4
6
5
11
10
(a) Find the test statistic....

An experiment was designed to compare the lengths of time that
four different drugs provided pain relief after surgery. The
results (in hours) follow. Is there enough evidence to reject the
null hypothesis that there is no significant difference in the
length of pain relief provided by the four drugs at α =
.05?
Drug
A
B
C
D
7
6
8
3
2
5
12
4
3
5
10
4
7
4
8
8
(a) Find the test statistic....

1A) An experiment was designed to compare the lengths of time
that four different drugs provided pain relief after surgery. The
results (in hours) follow. Is there enough evidence to reject the
null hypothesis that there is no significant difference in the
length of pain relief provided by the four drugs at α =
.05?
Drug
A
B
C
D
2
4
9
4
8
6
8
2
7
6
11
2
3
5
10
9
(a) Find the test...

Crossover trial: A crossover trial is a type of experiment used
to compare two drugs. Subjects take one drug for a period of time,
then switch to the other. The responses of the subjects are then
compared using matched-pair methods. In an experiment to compare
two pain relievers, seven subjects took one pain reliever for two
weeks, then switched to the other. They rated their pain level from
1 to 10, with larger numbers representing higher levels of pain.
The...

QUESTION 1
In a study designed to compare fasting blood sugar readings for
3 groups of diabetic patients, one group used insulin to control
the problem, one group used oral drugs and another group used diet
and exercise. The blood sugar readings for the three samples are
shown below. Conduct an ANOVA test to determine if there is a
difference in the three different treatments effect to blood sugar
(Ho: Blood sugar means are equivalent , Ha: At least one...

8;'' In an experiment designed to measure the time necessary for
an inspector's eyes to become used to the reduced amount of light
necessary for penetrant inspection, the sample average time for
n = 8 inspectors was 6.29 sec and the sample standard
deviation was 1.8 sec. It has previously been assumed that the
average adaptation time was at least 7 sec. Assuming adaptation
time to be normally distributed, does the data contradict prior
belief? Use the t test with...

The table below shows the hours of relief provided by two
analgesic drugs in 12 patients suffering from arthritis. Is there
any evidence that one drug provides longer relief than the other?
Use Wilcoxon Signed-RankTest.
Case
A B
1
2.0 3.5
2
14.9 16.7
3
3.6 5.7
4
6.6 6.0
5
2.6 2.9
6
2.3 3.8
7
2.6 2.4
8
2.0 4.0
9
7.3 9.9
10
6.8 9.1
11
3.4 3.3
12
8.5 20.9
13 9.2 14.7
Please explain where...

A factorial experiment was designed to test for any significant
differences in the time needed to perform English to foreign
language translations with two computerized language translators.
Because the type of language translated was also considered a
significant factor, translations were made with both systems for
three different languages: Spanish, French, and German. Use the
following data for translation time in hours.
Language
Spanish
French
German
System 1
9
10
13
13
14
17
System
2
5
16
16
9...

A factorial experiment was designed to test for any significant
differences in the time needed to perform English to foreign
language translations with two computerized language translators.
Because the type of language translated was also considered a
significant factor, translations were made with both systems for
three different languages: Spanish, French, and German. Use the
following data for translation time in hours.
Language
Spanish
French
German
System 1
8
10
12
12
14
16
System 2
6
14
16
10...

An experiment was designed to compare the effectiveness of
teaching statistics in 4 different schools. Randomly selected 80
students (20 students from each school) were required to complete 5
tasks. For each given task, the average result for each of 4
schools are presented in the table below.
School 1
School 2
School 3
School 4
81
84
56
83
76
75
60
77
77
83
65
79
85
88
68
86
93
90
80
91
a) State the null...

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