April 2018 Q5

Discussion in 'CS1' started by Molly, Mar 29, 2023.

  1. Molly

    Molly Ton up Member

    Hi all,

    Just attempted this quetsion and unfortunately tripped up on the critical value. I have thought that the population variance is unknown (since not specificied0 so we would use the t distribtuion, but the solutions have used the normal cvs.

    Is this because n is large so we approximate it to be normal? or was the population variance known the whole time?

    Thanks
    Molly
     
  2. Andrea Goude

    Andrea Goude ActEd Tutor Staff Member

    Hi Molly
    The question mentions the normal distribution and with a sample size of 49 so I would use normal critical values, I would class this as large. The assumption was there that the population variance was known. I would hope they would mention with an unknown variance if they specifically wanted you to use the t-distribution and find values at t_48.
    Thanks
    Andrea
     
    Molly likes this.
  3. Molly

    Molly Ton up Member

    thats great, thank you!
     

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