Assignment 2 Due Date: 29 August, 2017 Weighting: 20% Full Marks: 100 STA2300 Data Analysis S2, 2017 • Answering the questions in this assignment should not be your first attempt at these types of...

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Answered Same DayDec 26, 2021

Answer To: Assignment 2 Due Date: 29 August, 2017 Weighting: 20% Full Marks: 100 STA2300 Data Analysis S2, 2017...

Robert answered on Dec 26 2021
126 Votes
1.a) The variable in this problem is speed reading. The unit of measurement is words per
minute.
b)For X=65, the z score is z=(x-mu)/sigma=(65-80)/8=-1.88
The requ
ired probability is P(X<65)=P(z<-1.88)=0.0301.
The percentage of applicants who score up to 65 is 3.01%.
c) The top 20 percent means a "greater-than" probability that's equal to 20 percent, and the
(100-20)th=80th percentile.
So find x such that p(X < x) = 0.80.
Looking in the body of the Z-table, the probability closest to 0.80 is 0.7995, which falls in the row
for z = +0.8 and the column for 0.04. That means the 80th percentile for Z is +0.84;
Convert the z-value back to an x-value and get x = 80 + 0.84[8] = 86.72.
6.a)The appropriate chart to display the distribution of current salary of employees of the
industry is bar graph.
Follow the steps given below:
Open SPSS. Go to Graphs, select Legacy dialogs and click on Bar. Then select Simple Bar. Check
Summaries for Group of cases and select Define. Check Other statistics (Mean). Move current
salary to the variables box. Move Employee category to category axis. Click Ok. The final output
is given below.
b)The above graph depicts that the shape of the distribution is skewed to the right. Managers of
the industry are highly paid. So, there are high outliers to the right of the distribution. Since, the
distribution is right- skewed, the mean has been pulled up.
c)To compute mean and standard deviation go to Analyze, click on Descriptive statistics and
then select Descriptives, move current salary to the variables box. Click Ok. The final output is
given below.
d)To compute Median and IQR, go to Frequencies from...
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