Homework help: Is this how CI using t dist are constructed?

I'm trying to replicate some of the examples from my textbook in R (my
text uses Minitab). In this problem, I'm trying to construct a 95%
confidence interval for these distance measurements [1]:

# Case Study 7.4.1, p. 483
x <- scan()

1:  62 52 68 23 34 45 27 42 83 56 40
12: 
Read 11 items

alpha<-.95
mean(x) + qt(c((1-alpha)/2, 1-((1-alpha)/2)), df=length(x)-1) * sd(x)

/ sqrt(length(x))
[1] 36.21420 60.51307

Are confidence intervals with the t distribution constructed using this
type of equation, or am I overlooking a more concise, 'canned' approach
that's already been programmed? Any suggestions on simplifying this?

Thanks for all your advice and help.

-Kevin

[1] An Introduction to Mathematical Statistics and its Applications,
fourth ed., Larsen and Marx.

Kevin Zembower
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Center for Communication Programs
Bloomberg School of Public Health
Johns Hopkins University
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