we want to build a 95% confidence interval for the average height of Swedes. 48 Swedes...

we want to build a 95% confidence interval for the average height of Swedes. 48 Swedes are surveyed. The average of the sample is 71 inches. The standard deviation of the sample is 2.8 inches. indicates the upper limit of the interval

Solutions

Expert Solution

The formula for confidence interval estimation is:

μ = M ± t(s_M)

where:

M = sample mean
t = t statistic determined by confidence level
s_M = standard error = √(s²/n)

M = 71
t = 2.01
s_M = √(2.8²/48) = 0.4

μ = M ± t(s_M)
μ = 71 ± 2.01*0.4
μ = 71 ± 0.81

95% CI [70.19, 71.81].

Lower Limit=70.19

Upper limit=71.81

t score at 47 degree of freedom calculated using t-table shown below as

orchestra answered 1 year ago

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