1. A government agency is investigating a complaint from some concerned citizens who said that there si short-weight selling of rice in a certain town An agent manufacturer took a random sample of 20 sacks of "50 - kilo" sacks of rice from a large shipment and finds that the mean weight is 49.7 kilogram with a standard deviation of 0 35 kilogram. Is this a sufficient evidence of short-weighting at the 0.01 level of significance? A. Test statistic t = 3.8332 is greater than the critical value ta = -2.539. At 1% level of significance, there is enough evidence to reject the claim that the mean weight of each sack is 50 kilograms. B. Test statistic t = -3.8332 is less than the critical value tu = -2.539. At 1% level of significance, there is enough evidence to reject the claim that the mean weight of each sack is 50 kilogram C. Test statistic t = 3.8332 is greater than the critical value t, = -2.539. At 1% level of significance, there is enough evidence to accept the claim that the mean weight of each saci is 50 kilograms. D. Test statistic t = -3.8332 is less than the critical value t = -2.539. At 1% level of significance there is enough evidence to accept the claim that the mean weight of each sack is 50 kilograms. %3D

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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1.
A government agency is investigating a complaint from some concerned citizens who said that
there si short-weight selling of rice in a certain town An agent manufacturer took a random sample
of 20 sacks of "50 - kilo" sacks of rice from a large shipment and finds that the mean weight is 49.7
kilogram with a standard deviation of 0.35 kilogram. Is this a sufficient evidence of short - weighting
at the 0.01 ievel of significance?
A. Test statistic t = 3.8332 is greater than the critical value ta = -2.539 At 1% level of
significance, there is enough evidence to reject the claim that the mean weight of each sack is
50 kilograms.
B. Test statistic t = -3.8332 is less than the critical vaiue tu = -2.539. At 1% level of significance,
there is enough evidence to reject the claim that the mean weight of each sack is 50 kilograms
C. Test statistic t = 3.8332 is greater than the critical value t, = -2539. At 1% level of
significance, there is enough evidence to accept the claim that the mean weight of each sack
is 50 kilograms.
D. Test statistic t = -3.8332 is less than the critical value t = -2.539. At 1% level of significance,
there is enough evidence to accept the claim that the mean weight of each sack is 50
kilograms.
%3D
%3D
Transcribed Image Text:1. A government agency is investigating a complaint from some concerned citizens who said that there si short-weight selling of rice in a certain town An agent manufacturer took a random sample of 20 sacks of "50 - kilo" sacks of rice from a large shipment and finds that the mean weight is 49.7 kilogram with a standard deviation of 0.35 kilogram. Is this a sufficient evidence of short - weighting at the 0.01 ievel of significance? A. Test statistic t = 3.8332 is greater than the critical value ta = -2.539 At 1% level of significance, there is enough evidence to reject the claim that the mean weight of each sack is 50 kilograms. B. Test statistic t = -3.8332 is less than the critical vaiue tu = -2.539. At 1% level of significance, there is enough evidence to reject the claim that the mean weight of each sack is 50 kilograms C. Test statistic t = 3.8332 is greater than the critical value t, = -2539. At 1% level of significance, there is enough evidence to accept the claim that the mean weight of each sack is 50 kilograms. D. Test statistic t = -3.8332 is less than the critical value t = -2.539. At 1% level of significance, there is enough evidence to accept the claim that the mean weight of each sack is 50 kilograms. %3D %3D
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