Suppose, a random variable follows a Normal distribution with mean , and variance . The variance of the distribution is unknown. For testing against the alternative , the distribution of the test statistic is
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GATE 2026 Question 36: Hypothesis testing
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Suppose, a random variable X follows a Normal distribution with mean μ, and variance σ². The variance of the distribution is unknown. For testing μ=10 against the alternative μ>10, the distribution of the test statistic is (A) Standard Normal distribution (B) Student's t distribution (C) Normal distribution (D) F distribution
Also written as: Suppose, a random variable X follows a Normal distribution with mean mu, and variance sigma^2. The variance of the distribution is unknown. For testing mu=10 against the alternative mu>10, the distribution of the test statistic is
Hypothesis testing has come up 47 times in 7 exams since 2007.
What this question tests
This question is on Tests for means, proportions and variances, part of Hypothesis testing in Statistics.
Applying z, t, F and chi-square tests to common problems.
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