(a) According to above table, calculate the joint distribution of work duration and productivity? (b) What is the marginal distribution of work duration? (c) What is the average working duration in a day? What is the standard deviation?

(a) According to above table, calculate the joint distribution of work duration and productivity? (b) What is the marginal distribution of work duration? (c) What is the average working duration in a day? What is the standard deviation?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.6: Summarizing Categorical Data

Problem 31PPS

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Concept explainers

Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.

Question

Suppose that, from a survey of construction labor, the work duration (in number of hours) per
day and the average productivity (in terms of efficiency) are obtained as follows:
Duration (in hrs)
Productivity
Number of observations
5
50
4
5
60
11
80
15
7
50
13
7
60
22
7
80
11
50
46
60
14
80
8
11
50
11
60
9.
11
80
11
(a) According to above table, calculate the joint distribution of work duration and productivity?
(b) What is the marginal distribution of work duration?
(c) What is the average working duration in a day? What is the standard deviation?
(d) What is the correlation between work duration and productivity? Comment on this value.
(e) If the work duration is 10 for a construction firm, what is the expected productivity? What
is its standard deviation?
Probability Theory
6,

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