A company recently installed a new photocopy machine and evaluating how long it takes for new workers to learn how to use the machine. Suppose it is known that the learning times for all new workers have a skewed-to-the-right distribution with mean 90 minutes and standard deviation of 7 minutes. A sample of 36 workers are Selected. (a) What is the probability that the mean learning time of those sample of 36 workers is at least 98 minutes? (b)What type of shape did you assume for the sampling distribution for sample mean and on what ground? Justify your answer. (c) If one worker starts to learn using the machine at 12 in the noon and the lunch time is 1:40pm, what is the probability that the worker will finish learning before lunch time.

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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Course: Introduction to Statistics (Bus-172)
Answer all the questions.
Question: 1
A company recently installed a new photocopy machine and evaluating how long it takes for new
workers to learn how to use the machine. Suppose it is known that the learning times for all new
workers have a skewed-to-the-right distribution with mean 90 minutes and standard deviation
of 7 minutes. A sample of 36 workers are Selected.
(a) What is the probability that the mean learning time of those sample of 36 workers is at least 98
minutes?
(b)What type of shape did you assume for the sampling distribution for sample mean and on what
ground? Justify your answer.
(c) If one worker starts to learn using the machine at 12 in the noon and the lunch time is 1:40pm,
what is the probability that the worker will finish learning before lunch time.
(d) Show both the population distribution and sampling distribution of sample mean in a single graph.
Formulae:
μπμ, στ
pq
Hô = p, Op
x - µ
z =
x – Hz
z =
p – Up
z =
Oß
Transcribed Image Text:Course: Introduction to Statistics (Bus-172) Answer all the questions. Question: 1 A company recently installed a new photocopy machine and evaluating how long it takes for new workers to learn how to use the machine. Suppose it is known that the learning times for all new workers have a skewed-to-the-right distribution with mean 90 minutes and standard deviation of 7 minutes. A sample of 36 workers are Selected. (a) What is the probability that the mean learning time of those sample of 36 workers is at least 98 minutes? (b)What type of shape did you assume for the sampling distribution for sample mean and on what ground? Justify your answer. (c) If one worker starts to learn using the machine at 12 in the noon and the lunch time is 1:40pm, what is the probability that the worker will finish learning before lunch time. (d) Show both the population distribution and sampling distribution of sample mean in a single graph. Formulae: μπμ, στ pq Hô = p, Op x - µ z = x – Hz z = p – Up z = Oß
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