In: Statistics and Probability

Individuals were randomly assigned to three different production processes. The hourly unit of production for the three processes are shown below:

Process1 | Process2 | Process3 |

33 | 33 | 28 |

30 | 35 | 36 |

28 | 30 | 30 |

29 | 38 | 34 |

At 5% level of significance, test whether there is the average output of the three processes . Use the critical value approach. Show all the steps and all the computations(10 Marks question)

In order to reduce hostility levels, twelve students were
randomly assigned to three different types of therapy. After
completing a therapy, each student was given a test that recorded
hostility level. A lower score indicates lower hostility and
vice-versa.
Therapy
1
2
3
80
74
62
92
81
71
87
78
72
85
77
62
Calculate the sample variance (or standard deviation) for each
therapy.
For Hartley's test of homogenity
Ho: σ²1 = σ²2 =
σ²3
Ha: Population variances are...

A production manager was testing three different methods of
production. Each method was assigned to a randomly selected set of
workers (five each), and their time for the task completion was
recorded (given below). The observations are independent, each
population has the same variance, and are Normally distributed.
Method A
Method B
Method C
58
58
48
64
69
57
55
71
59
66
64
47
67
68
49
a) For this data, what is the value of the total...

In a comparison of two different weight-loss programs, obese
participants were randomly assigned to one of two groups: (1) the
soy group, a low-calorie group that ate only soy-based proteins, or
(2) the traditional group, a low-calorie group that received 2/3 of
their protein from animal products and 1/3 from plant products. One
of the dependent measures collected was the amount of body fat loss
as a percentage of initial body weight.
Summary data from each group based on this...

In a comparison of two different weight-loss programs, obese
participants were randomly assigned to one of two groups: (1) the
soy group, a low-calorie group that ate only soy-based proteins, or
(2) the traditional group, a low-calorie group that received 2/3 of
their protein from animal products and 1/3 from plant products. One
of the dependent measures collected was the amount of body fat loss
as a percentage of initial body weight.
Summary data from each group based on this...

A sample of 15 consumers provided the following product ratings for three different products. Five consumers were randomly assigned to test and rate each product.
Product
A
B
C
55
85
65
64
99
49
79
91
35
41
88
51
69
95
58
Use the Kruskal-Wallis test and α = 0.05 to determine whether there is a significant difference among the ratings for the products.
Find the value of the test statistic.
test statistic=_____?______
Find the p-value. (Round...

In a study, 272 moderately obese subjects were randomly
assigned to one of three diets: low-fat, restricted-calorie;
Mediterranean, restricted-calorie; or low-carbohydrate,
nonrestricted-calorie. The prediction was that subjects on a
low-carbohydrate diet would lose weight, on the average. After
two years, the mean weight loss was 5.5 kg for the 109 subjects in
the low-carbohydrate group with a standard deviation of 7.0 kg.
The technology output below shows results of a significance test
for testing
Upper H 0 : mu equals...

In a study, 272 moderately obese subjects were randomly
assigned to one of three diets: low-fat, restricted-calorie;
Mediterranean, restricted-calorie; or low-carbohydrate,
nonrestricted-calorie. The prediction was that subjects on a
low-carbohydrate diet would lose weight, on the average. After
two years, the mean weight loss was 5.5 kg for the 109 subjects in
the low-carbohydrate group with a standard deviation of 7.0 kg.
The technology output below shows results of a significance test
for testing
Upper H 0 : mu equals...

SOLVE USING R: Eighteen freshwater mussels (Elliptio dilatata)
were randomly assigned to three groups of six each. One group was
placed in water from the river where the mussels were collected,
one group was placed in deionized water, and one group was placed
in a solution of 0.5 millimoles per liter (mM) of sodium sulfate.
At the end of a specified time period, blood (hemolymph) was
collected from each mussel and potassium levels were determined. Do
the treatments affect blood...

1. (60) 15 subjects were assigned randomly to one of
three diet regimens: Diet 1, Diet 2 and Diet 3. The weights of the
subjects are listed as the response variable. The output of the
analysis is below. Df Sum Sq Mean Sq F value Pr(>F) Response 1
0.943 0.9430 1.354 0.266 Residuals 13 9.057 0.6967
a. What test was conducted? b. What was the research
question (null and alternative hypothesis in words)? c. State the
null hypothesis. d. State...

(60) 15 subjects were assigned randomly to one of three diet
regimens: Diet 1, Diet 2 and Diet 3. The weights of the subjects
are listed as the response variable. The output of the analysis is
below.
Df
Sum Sq
Mean Sq
F value
Pr(>F)
Response
1
0.943
0.9430
1.354
0.266
Residuals
13
9.057
0.6967
What test was conducted?
What was the research question (null and alternative hypothesis
in words)?
State the null hypothesis.
State the alternative hypothesis.
What...

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