Mathematics
2017 · Paper 1
Take it one question at a time. Try an answer, then check your understanding.
Complete GATE MA 2017 Paper 1 overview, original pages and practice · Timed previous-paper practice
Questions 52–54 of 65. Imported answers require review unless explicitly marked reviewed.
Question 52
Open questionMANAT2 marksNeeds review
Let
be a random sample from a
population. For testing
against
, the most powerful test rejects
if
, where
is to be chosen such that the level of significance is 0.1. Then the power of this test equals ________.Log in to check the answer
You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answerQuestion 53
Open questionMAMCQ2 marksNeeds review
Let
be a random sample from a
population, where
, and let
. Then the maximum likelihood estimator of
isYour answerChoose one option.
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You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answerQuestion 54
Open questionMANAT2 marksNeeds review
Consider the following transportation problem. The entries inside the cells denote per unit cost of transportation from the origins to the destinations.
Origin | Destination 1 | Destination 2 | Destination 3 | Supply |
|---|---|---|---|---|
1 | 4 | 3 | 6 | 20 |
2 | 7 | 10 | 5 | 30 |
3 | 8 | 9 | 7 | 50 |
Demand | 10 | 30 | 60 | |
The optimal cost of transportation equals ________.
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