List below are the ages (years) of randomly selected race car drivers. Construct a 95% confidence interval estimate of the mean age of all race car drivers: ages 32, 40, 27, 36, 29, 28

The construct of the 95% confidence interval estimate of the mean age of all race car drivers is 26.65 < < 37.35

Step-by-step explanation:

The formula for confidence interval (C. I.) for a sample mean is given as follows;

Where:

= Sample mean

s = Sample standard deviation

n = Sample size = 6

= The test statistic at the given confidence level

n - 1 = The degrees of freedom 5

The sample mean = ∑x/n = (32 + 40 + 27 + 36 + 29 + 28)/6 = 32

The standard deviation is given as follows;

At 95% confidence level, α = 0.05, therefore α/2 = 0.025 and we look for and 5 degrees of freedom, = 2.571

When we put in the values, we have;

Which gives;

26.65 < < 37.35

The construct of the 95% confidence interval estimate of the mean age of all race car drivers = 26.65 < < 37.35.

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