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Math Help - Upper confidence limit value problem.

  1. #1
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    Upper confidence limit value problem.

    Assume a population is normally distributed. If the standard deviation of the population is 2.5, calculate the 95% confidence interval for mu when you take a sample of size 25 and get a sample mean of 5.24. Give the upper confidence limit value.

    Is my answer correct? Please check it. Thank you.


    My work:

    Sample mean = 5.24

    Standard deviation = 2.5

    Standard error of mean = σ / √ n

    Standard error of mean = 2.5 / √ 25

    SE = 2.5/5

    Standard error of mean 0.5


    95 % Confidence interval:
    5.24-(0.5)(1.96) and 5.24+(0.5)(1.96)
    (4.26, 6.22)

    So, the upper confidence limit value is 6.22
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  2. #2
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    Quote Originally Posted by funnyname7 View Post
    Assume a population is normally distributed. If the standard deviation of the population is 2.5, calculate the 95% confidence interval for mu when you take a sample of size 25 and get a sample mean of 5.24. Give the upper confidence limit value.

    Is my answer correct? Please check it. Thank you.


    My work:

    Sample mean = 5.24

    Standard deviation = 2.5

    Standard error of mean = σ / √ n

    Standard error of mean = 2.5 / √ 25

    SE = 2.5/5

    Standard error of mean 0.5


    95 % Confidence interval:
    5.24-(0.5)(1.96) and 5.24+(0.5)(1.96)
    (4.26, 6.22)

    So, the upper confidence limit value is 6.22
    It looks OK.
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