A replacement part for a machine must be produced within close specifications in order for it to be acceptable to customers. A production process is considered to be working properly as long as the variance in the lengths of the parts does not exceed 0.055 squared-units. Suppose the sample variance computed from 46 parts turns out to be s? - 0.079. (You may find it useful to reference the appropriate table: chi-square table or F table) a. Select the null and the alternative hypotheses to test if the production specification is not being met at a 1% level of significance. Hg: o2 s 0.055; HA: o2 > 0.055 O Hạ: o2 - 0.055; HA: o2 + 0.055 O Hạ: o2 2 0.055; HA: o2 < 0.055 b. Calculate the value of the test statistic. (Round intermediate calculations to at least 4 decimal places and final answer to 3 decimal places.) Test statistic c. Find the p-value. O 0.025 Picture p-value < 0.05 O 0.01 Picture p-value < 0.025 O p-value < 0.01 O pvalue Picture 0.10 O 0.05 Picture p-value < 0.10
A replacement part for a machine must be produced within close specifications in order for it to be acceptable to customers. A production process is considered to be working properly as long as the variance in the lengths of the parts does not exceed 0.055 squared-units. Suppose the sample variance computed from 46 parts turns out to be s? - 0.079. (You may find it useful to reference the appropriate table: chi-square table or F table) a. Select the null and the alternative hypotheses to test if the production specification is not being met at a 1% level of significance. Hg: o2 s 0.055; HA: o2 > 0.055 O Hạ: o2 - 0.055; HA: o2 + 0.055 O Hạ: o2 2 0.055; HA: o2 < 0.055 b. Calculate the value of the test statistic. (Round intermediate calculations to at least 4 decimal places and final answer to 3 decimal places.) Test statistic c. Find the p-value. O 0.025 Picture p-value < 0.05 O 0.01 Picture p-value < 0.025 O p-value < 0.01 O pvalue Picture 0.10 O 0.05 Picture p-value < 0.10
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:A replacement part for a machine must be produced within close specifications in order for it to be acceptable to customers. A
production process is considered to be working properly as long as the variance in the lengths of the parts does not exceed 0.055
squared-units. Suppose the sample variance computed from 46 parts turns out to be s? = 0.079. (You may find it useful to reference
the appropriate table: chi-square table or F table)
a. Select the null and the alternative hypotheses to test if the production specification is not being met at a 1% level of significance.
Hg: o s 0.055; HA: o2 > 0.055
Hg:
of = 0.055; HA: o + 0.055
Hg:
of 2 0.055; HA: o < 0.055
b. Calculate the value of the test statistic. (Round intermediate calculations to at least 4 decimal places and final answer to 3
decimal places.)
Test statistic
c. Find the p-value.
O 0.025 Picture p-value < 0.05
O 0.01 Picture p-value < 0.025
O pvalue < 0.01
O p-value Picture 0.10
O 0.05 Picture p-value < 0.10
Transcribed Image Text:d. Is the production specification violated at the 1% level?
Yes, since the p-value is less than significance level.
O No, since the p-value is less than significance level.
O Yes, since the p-value is more than significance level.
O No, since the p-value is more than significance level.
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