{"kind":"task","effective_mode":"full","benchmark":{"kind":"benchmark","effective_mode":"full","slug":"mmlu-pro","formal_name":"MMLU-Pro","introduction":"MMLU-Pro rebuilds MMLU with ten answer options instead of four and removes items that no longer separate models. Questions span fourteen academic and professional subjects.","introduction_ja":"","introduction_en":"","category":"Category not supplied","task_count":null,"acquisition_status":"Acquisition status not supplied","official_url":"https://huggingface.co/datasets/TIGER-Lab/MMLU-Pro","indexing_mode":"index","profile":{"resources":[],"task_format":"","scoring":"","metric":"","size":"","answer_access":"","license":"","citation":"","maintainer":"","released":"","why_hard":"","related":[],"history":"","construction":"","limitations":"","saturation":"","scores":[]}},"task_id":"53100718-6bca-57a3-adb4-2852f59b40da","task_key":"default--test--7884","task_revision_id":"1","upstream_id":"7884","short_description":"9.6-111. Let $X$ and $Y$ have a bivariate normal distribution with correlation…","config":"default","split":"test","body":"{\"category\":\"math\",\"options\":\"['$9$', '$7$', '$10$', '$11$', '$13$', '$20$', '$5$', '$8$', '$12$', '$15$']\",\"question\":\"9.6-111. Let $X$ and $Y$ have a bivariate normal distribution with correlation coefficient $\\\\rho$. To test $H_0: \\\\rho=0$ against $H_1: \\\\rho \\\\neq 0$, a random sample of $n$ pairs of observations is selected. Suppose that the sample correlation coefficient is $r=0.68$. Using a significance level of $\\\\alpha=0.05$, find the smallest value of the sample size $n$ so that $H_0$ is rejected.\",\"src\":\"scibench-stat\"}","display_format":"text","language":"","answer_status":"published","assets":[],"source_url":"https://huggingface.co/datasets/TIGER-Lab/MMLU-Pro","history":"initial import","indexing_mode":"index","subproblems":[],"grids":[]}