a. The table below shows the results of an opinion poll on a new civil servants salary structure. Gender Opinion For Against Indifferent Male 150 250 96 Female 180 142 28 Calculate the Chi-square (K2) value and using the K2, test at a=0.05 the hypothesis that opinion of workers is independent of gender.
Inverse Normal Distribution
The method used for finding the corresponding z-critical value in a normal distribution using the known probability is said to be an inverse normal distribution. The inverse normal distribution is a continuous probability distribution with a family of two parameters.
Mean, Median, Mode
It is a descriptive summary of a data set. It can be defined by using some of the measures. The central tendencies do not provide information regarding individual data from the dataset. However, they give a summary of the data set. The central tendency or measure of central tendency is a central or typical value for a probability distribution.
Z-Scores
A z-score is a unit of measurement used in statistics to describe the position of a raw score in terms of its distance from the mean, measured with reference to standard deviation from the mean. Z-scores are useful in statistics because they allow comparison between two scores that belong to different normal distributions.
![а.
The table below shows the results of an
opinion poll on a new civil servants salary
structure.
Gender
Opinion
For
Against
Indifferent
Male
150
250
96
Female
180
142
28
Calculate the Chi-square (K2) value and using
the K?, test at a=0.05 the hypothesis that
opinion of workers is independent of
gender.
As part of an investigation into levels of
overtime working, a company decides to
b.
tabulate the number of orders received
weekly and compare this with the total
weekly overtime worked to give the following
Week
1 2 3 4 5 6 7 8 9 10
Orders
83 22 107 55 48 92 135 32 67 122
received
Total
38 9 42 18 11 30 48 10 29 51
overtime
Using the method of least squares obtain the
regression equation of total overtime on](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F3ea929b4-6cd6-4439-90d3-30f001d72663%2F2b517efe-89ae-4cf5-8db5-f16aa5b2c96e%2F173h4g_processed.jpeg&w=3840&q=75)
![Using the method of least squares obtain the
regression equation of total overtime on
orders received and predict the level of total
overtime necessary for 100 orders
The following table gives the distribution
of wages in k£ in three branches of Keses
factory.
с.
Daily wages
Number of Workers
K£
10-14
14
15
12
15-19
18
22
20
20-24
20
26
32
25-29
23
10
11
30-34
10
12
10
i)
Based on the mean wage, which
branch pays the higher average wage?
ii)
Which of the three branches has
greater variability in wages?
I
< >
II
K](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F3ea929b4-6cd6-4439-90d3-30f001d72663%2F2b517efe-89ae-4cf5-8db5-f16aa5b2c96e%2Fcqc4opc_processed.jpeg&w=3840&q=75)
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