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Math Help - Data Set question!!

  1. #1
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    Thumbs up Data Set question!!

    HI to all the people on here! Found this forum on here while looking for some help!! Hope someone on here can help me out!

    here is the question:


    Sunny's Restaurant boasts that average price of a full-course dinner is $25. It is known that the standard deviation of dinner prices is $10.20.

    a. Assuming we know nothing about the shape of the data set, at least what percentage of time will the cost of a full-course meal be between $7.15 and $42.85?
    b. Assuming we can verify that the data set is approximately normally distributed, what percentage of time will the cost of a full-course meal be greater $14.80?
    c. Assuming we can verify that the data set is approximately normally distributed, 68% of the dinner prices will be within what range?


    Thanks
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  2. #2
    Grand Panjandrum
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    Quote Originally Posted by al_pacino View Post
    HI to all the people on here! Found this forum on here while looking for some help!! Hope someone on here can help me out!

    here is the question:


    Sunny's Restaurant boasts that average price of a full-course dinner is $25. It is known that the standard deviation of dinner prices is $10.20.

    a. Assuming we know nothing about the shape of the data set, at least what percentage of time will the cost of a full-course meal be between $7.15 and $42.85?
    Here you should use Chebyshev's inequality

    b. Assuming we can verify that the data set is approximately normally distributed, what percentage of time will the cost of a full-course meal be greater $14.80?
    Compute the z-score for $14.80: z=(14.80-25)/(10.20)= ??

    Now look the z-score up in a table of the cumulative normal.

    c. Assuming we can verify that the data set is approximately normally distributed, 68% of the dinner prices will be within what range?
    +/-1 sigma

    RonL
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