Q&A Bank part 5

Discussion in 'CT3' started by Anjum, Feb 13, 2016.

  1. Anjum

    Anjum Member

    Please explain question 5.12 part two and three? How we got the value 0.392 and X has a N(mean, 1/25) and ho, 5 mean has a normal distribution?

    Thanks,
    Anjum
     
  2. John Lee

    John Lee ActEd Tutor Staff Member

    In part (ii) we're using the central limit theorem:

    \(\bar x \sim N(\mu , \sigma^2 / n)\)

    ie \(\frac {\bar x - \mu}{\sigma / \sqrt{n}} \sim N(0,1)\)

    0.392 is 1.96/5
     

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