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Questions › IIT JAM › IIT JAM 2026 › Q51
2 marksStatistics › Hypothesis testing › Tests for means, proportions and variancesHardabout 3 min

IIT JAM 2026 Question 51: Hypothesis testing

The variance of a population is 4, but its mean (μ)(\mu)(μ) is unknown. A sample of size 25 is drawn to test H0:μ=4.8H_0:\mu=4.8H0​:μ=4.8. The sample elements x1,…,x25x_1,\ldots,x_{25}x1​,…,x25​ satisfy ∑i=125xi=150\sum_{i=1}^{25} x_i=150∑i=125​xi​=150 and ∑i=125xi2=1116\sum_{i=1}^{25} x_i^2=1116∑i=125​xi2​=1116. Based on the above information, the calculated value of ttt-statistic is ________ (in integer).

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Plain-text version

The variance of a population is 4, but its mean (μ) is unknown. A sample of size 25 is drawn to test H₀:μ=4.8. The sample elements x₁,…,x₂₅ satisfy Σᵢ₌₁²⁵ xᵢ=150 and Σᵢ₌₁²⁵ xᵢ²=1116. Based on the above information, the calculated value of t -statistic is (*in integer*).

Also written as: The variance of a population is 4, but its mean (mu) is unknown. A sample of size 25 is drawn to test H_0:mu=4.8. The sample elements x_1,...,x_(25) satisfy sum_(i=1)^(25) x_i=150 and sum_(i=1)^(25) x_i^2=1116. Based on the above information, the calculated value of t -statistic is (*in integer*).

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.

TestStop has 15 past-paper questions on this subtopic.

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