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{
    "url": "https://numbas.mathcentre.ac.uk/api/questions/11887/?format=api",
    "name": "Find maximum likelihood estimator of mean of normal distribution",
    "published": true,
    "project": "https://numbas.mathcentre.ac.uk/api/projects/601/?format=api",
    "author": {
        "url": "https://numbas.mathcentre.ac.uk/api/users/697/?format=api",
        "profile": "https://numbas.mathcentre.ac.uk/accounts/profile/697/?format=api",
        "full_name": "Newcastle University Mathematics and Statistics",
        "pk": 697,
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    },
    "edit": "https://numbas.mathcentre.ac.uk/question/11887/find-maximum-likelihood-estimator-of-mean-of-norma/?format=api",
    "preview": "https://numbas.mathcentre.ac.uk/question/11887/find-maximum-likelihood-estimator-of-mean-of-norma/preview/?format=api",
    "download": "https://numbas.mathcentre.ac.uk/question/11887/find-maximum-likelihood-estimator-of-mean-of-norma.zip?format=api",
    "source": "https://numbas.mathcentre.ac.uk/question/11887/find-maximum-likelihood-estimator-of-mean-of-norma.exam?format=api",
    "metadata": {
        "notes": "<p><strong>14/07/2012:</strong></p>\n        <p>Added tags.</p>\n        <p>New tolerance variable t=0 for the numeric inputs.</p>\n        <p>Checked calculations.</p>\n        <p><strong>1/08/2012:</strong></p>\n        <p>Added tags.</p>\n        <p>Question appears to be working correctly.</p>\n        <p><strong>21/12/2012:</strong></p>\n        <p><strong><br /></strong>Checked calculations for all functions appearing in this exercise. Added tested1 tag.</p>\n        <p>Rounding OK, added cr1 tag.</p>\n        <p>In order to calculate the MLE for $\\phi$ need to use a more accurate value than that found for $\\mu$ to 2 decimal places. This is stated in the question now.</p>\n        <p>There is no need to have the variance given. Added query tag for that.&nbsp;</p>\n        <p>Also query the accuracy needed for the estimator of $\\mu$.</p>",
        "licence": "Creative Commons Attribution 4.0 International",
        "description": "<p>Given sum of sample from a Normal distribution with unknown mean $\\mu$ and known variance $\\sigma^2$. Find MLE of $\\mu$ and one of four functions of $\\mu$.</p>"
    },
    "status": "ok",
    "resources": []
}