designe 0.025 cm. A random sa standard deviation of 0. at 5% level is 2.262.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
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Author:Carter
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Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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Question
11
If there is significant difference between the levels of any of the factor (s) of variation, then determine
11
Perform an analysis of variance on these data and discuss whether there is any significant difference
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between consignments or between observers.
he corresponding pairs of sample means which differ significantly. Use a = 0.05. [Rerer Simlar, Q161
Ans: FA 5.03, F, = 2.23, Reject Null Hypothesis (H..) and Accept Null Hypothesis (Ho)).
%3D
B
OA
A machine is designed to produce insulating washers for electrical devices of average thickness of
0.025 cm. A random sample of 10 washers was found to have an average thickness of 0.024 cm with a
standard deviation of 0.002 cm. Test the significance of the deviation. Value of t for 9 degrees of freedom
at 5% level is 2.262.
4.
[Refer Similar, Q4]
(Ans: t=-1.5; H0 : u = 0.025 ; H u #0.025, Not significant).
%3D
OC
A random sample of 20 daily workers of State A was found to have average daily earnings of 44 with
sample variance 900. Another sample of 20 daily workers from State B was found to earn on an average
* 30 per day with sample variance 400. Test whether the workers in State A are earning more than those
in State B.
[Refer Similar, Q6]
(Ans: H,: 4, =H,; H: >H, ; t= 1.7389, Null hypothesis is rejected).
A random sample of size 20 yields a mean of 40 and variance of 25. Test the hypothesis that the
population S.D. is 8.
[Given x? 0.05 = 28.87 for 18 d.f. ; = 30.14 for 19 d.f; = 31.41 for 20 d.f.1
%3D
%3D
(Ans: H,:o = 8; x² =7.81, Not Significant).
[ReferSimilar,Q20]
A sample of 15 values shows the s.d. to be 6.4. Does this agree with hypothesis that the population s.d
is 5, the population being normal?
Ans: H,:o = 5; x 24.58, Significant).
7.
[Refer Similar, Q20]
%3D
Warning: Xerox/Photocopying of this book is a CRIMINAL act. Anyone found guilty is
5.
6.
Transcribed Image Text:11 If there is significant difference between the levels of any of the factor (s) of variation, then determine 11 Perform an analysis of variance on these data and discuss whether there is any significant difference 1 9. 6. 10 11 10 10 10 12 11 9. 3. 11 10 10 12 11 10 4. 12 13 11 14 12 10 between consignments or between observers. he corresponding pairs of sample means which differ significantly. Use a = 0.05. [Rerer Simlar, Q161 Ans: FA 5.03, F, = 2.23, Reject Null Hypothesis (H..) and Accept Null Hypothesis (Ho)). %3D B OA A machine is designed to produce insulating washers for electrical devices of average thickness of 0.025 cm. A random sample of 10 washers was found to have an average thickness of 0.024 cm with a standard deviation of 0.002 cm. Test the significance of the deviation. Value of t for 9 degrees of freedom at 5% level is 2.262. 4. [Refer Similar, Q4] (Ans: t=-1.5; H0 : u = 0.025 ; H u #0.025, Not significant). %3D OC A random sample of 20 daily workers of State A was found to have average daily earnings of 44 with sample variance 900. Another sample of 20 daily workers from State B was found to earn on an average * 30 per day with sample variance 400. Test whether the workers in State A are earning more than those in State B. [Refer Similar, Q6] (Ans: H,: 4, =H,; H: >H, ; t= 1.7389, Null hypothesis is rejected). A random sample of size 20 yields a mean of 40 and variance of 25. Test the hypothesis that the population S.D. is 8. [Given x? 0.05 = 28.87 for 18 d.f. ; = 30.14 for 19 d.f; = 31.41 for 20 d.f.1 %3D %3D (Ans: H,:o = 8; x² =7.81, Not Significant). [ReferSimilar,Q20] A sample of 15 values shows the s.d. to be 6.4. Does this agree with hypothesis that the population s.d is 5, the population being normal? Ans: H,:o = 5; x 24.58, Significant). 7. [Refer Similar, Q20] %3D Warning: Xerox/Photocopying of this book is a CRIMINAL act. Anyone found guilty is 5. 6.
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