Q3. [3+2=5points] A random sample of 20 nominally measured of the length of a plastic ball is taken andthe lengths are measured precisely. The measurements, in mm, are as follows:2.02 1.94 2.09 1.95 1.98 2.00 1.03 2.04 2.08 2.071.99 1.96 1.99 1.95 1.99 1.99 2.03 2.05 2.01 2.03From the data, we caleulate Σ X = 39.19, Σχ277.7377Assuming that the lengths are normally distributed with unknown mean µ, and unknown variance 82i.find a 90% confidence interval for the variance o². Interpret your results.ii.find a 90% confidence interval for the standard deviation o . Interpret your results.

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Description: Q3. [3+2=5points] A random sample of 20 nominally measured of the length of a plastic ball is taken andthe lengths are measured precisely. The measurements, in mm, are as follows:2.02 1.94 2.09 1.95 1.98 2.00 1.03 2.04 2.08 2.071.99 1.96 1.99 1.95 1

Given A random sample of 20 plastic balls with following lengths in mm 2.02 2.07 1.94 1.99…

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Q3. [3+2=5points] A random sample of 20 nominally measured of the length of a plastic ball is taken and the lengths are measured precisely. The measurements, in mm, are as follows: 2.02 1.94 2.09 1.95 1.98 2.00 1.03 2.04 2.08 2.07 1.99 1.96 1.99 1.95 1.99 1.99 2.03 2.05 2.01 2.03 From the data, we calculate EX = 39.19, Ex² = 77.7377 Assuming that the lengths are normally distributed with unknown mean µ, and unknown variance 82 i. find a 90% confidence interval for the variance o?. Interpret your results. ii. find a 90% confidence interval for the standard deviation o. Interpret your results.

Q3. [3+2=5points] A random sample of 20 nominally measured of the length of a plastic ball is taken and the lengths are measured precisely. The measurements, in mm, are as follows: 2.02 1.94 2.09 1.95 1.98 2.00 1.03 2.04 2.08 2.07 1.99 1.96 1.99 1.95 1.99 1.99 2.03 2.05 2.01 2.03 From the data, we calculate EX = 39.19, Ex² = 77.7377 Assuming that the lengths are normally distributed with unknown mean µ, and unknown variance 82 i. find a 90% confidence interval for the variance o?. Interpret your results. ii. find a 90% confidence interval for the standard deviation o. Interpret your results.

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

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section: Chapter Questions

Problem 22SGR

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Types of Bias

Statistics is the study of data collection, organization, analysis, interpretation, and presentation. Statistical bias is a characteristic of a statistical technique or its findings in which the expected value deviates from the actual root quantitative parameter being estimated. According to the actual definition of bias, it refers to the tendency of a statistic to overestimate or underestimate a parameter.

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Q3. [3+2=5points] A random sample of 20 nominally measured of the length of a plastic ball is taken and
the lengths are measured precisely. The measurements, in mm, are as follows:
2.02 1.94 2.09 1.95 1.98 2.00 1.03 2.04 2.08 2.07
1.99 1.96 1.99 1.95 1.99 1.99 2.03 2.05 2.01 2.03
From the data, we caleulate Σ X = 39.19, Σχ277.7377
Assuming that the lengths are normally distributed with unknown mean µ, and unknown variance 82
i.
find a 90% confidence interval for the variance o². Interpret your results.
ii.
find a 90% confidence interval for the standard deviation o . Interpret your results.

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