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14 April, 14:27

Data on the blood cholesterol levels of 10 rats (milligrams per deciliter of blood) give x = 85 and s = 12. A 99% confidence interval for the mean blood cholesterol of rats is

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  1. 14 April, 14:35
    0
    99% confidence interval for the mean blood cholesterol of rats is between 72.66 milligrams per deciliter of blood and 97.34 milligrams per deciliter of blood

    Step-by-step explanation:

    Confidence Interval = mean (x) + or - margin of error (e)

    e = t*s/√n

    s = 12, n = 10, degree of freedom = n-1 = 10-1 = 9, t-value corresponding to 9 degrees of freedom and 99% confidence level is 3.250

    e = 3.250*12/√10 = 12.34

    Lower bound = x - e = 85 - 12.34 = 72.66

    Upper bound = x + e = 85 + 12.34 = 97.34

    99% confidence interval is (72.66, 97.34) milligrams per deciliter of blood
  2. 14 April, 14:51
    0
    Answer: 85 + / - 9.79

    = (75.21, 94.79)

    Therefore at 99% confidence interval (a, b) = (75.21, 94.79)

    Step-by-step explanation:

    Confidence interval can be defined as a range of values so defined that there is a specified probability that the value of a parameter lies within it.

    The confidence interval of a statistical data can be written as.

    x+/-zr/√n

    Given that;

    Mean gain x = 85

    Standard deviation r = 12

    Number of samples n = 10

    Confidence interval = 99%

    z (at 99% confidence) = 2.58

    Substituting the values we have;

    85 + / -2.58 (12/√10)

    85+/-2.58 (3.795)

    85 + / - 9.79

    = (75.21, 94.79)

    Therefore at 99% confidence interval (a, b) = (75.21, 94.79)
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