The inside diameters of bearings used in an aircraft landing gear assembly follow normal distribution. According to the standard, the nominal value for the inside diameter should be 11.5 cm. We are interested to know whether inside diameters of produced bearings on average is compatible with the standard. A random sample of 10 parts was collected and their inside diameters were measured. Based on the following summary data from the study, answer the questions below. 10 Σχι i=1 10 =120.015, (x, x)² = 4.4238; i=1 - (a) State the hypotheses (null and alternative) and all assumptions required to test these hypotheses (b) Test your hypothesis in part (a) using an appropriate test statistic and draw conclusic based on a 0.01 (c) Find the p-value of the test and draw conclusion based on a = 0.01 (d) Test your hypothesis in part (a) using an appropriate confidence interval and draw conclusion based on α = 0.01
The inside diameters of bearings used in an aircraft landing gear assembly follow normal distribution. According to the standard, the nominal value for the inside diameter should be 11.5 cm. We are interested to know whether inside diameters of produced bearings on average is compatible with the standard. A random sample of 10 parts was collected and their inside diameters were measured. Based on the following summary data from the study, answer the questions below. 10 Σχι i=1 10 =120.015, (x, x)² = 4.4238; i=1 - (a) State the hypotheses (null and alternative) and all assumptions required to test these hypotheses (b) Test your hypothesis in part (a) using an appropriate test statistic and draw conclusic based on a 0.01 (c) Find the p-value of the test and draw conclusion based on a = 0.01 (d) Test your hypothesis in part (a) using an appropriate confidence interval and draw conclusion based on α = 0.01
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Transcribed Image Text:The inside diameters of bearings used in an aircraft landing gear assembly follow normal
distribution. According to the standard, the nominal value for the inside diameter should
be 11.5 cm. We are interested to know whether inside diameters of produced bearings on
average is compatible with the standard. A random sample of 10 parts was collected and
their inside diameters were measured. Based on the following summary data from the
study, answer the questions below.
10
Σχι
i=1
10
=120.015, (x, x)² = 4.4238;
i=1
-
(a) State the hypotheses (null and alternative) and all assumptions required to test these
hypotheses
(b) Test your hypothesis in part (a) using an appropriate test statistic and draw conclusic
based on a 0.01
(c) Find the p-value of the test and draw conclusion based on a = 0.01
(d) Test your hypothesis in part (a) using an appropriate confidence interval and draw
conclusion based on α = 0.01
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