Introduction to Statistics (MAT/SST 115.03 2008S)

R notes for Activity 20-2: Sleeping Times

We will need two data sets for this activity, a set of sleep times for this class (SleepData.csv) and a set of hypothesized sleep times (HypoSleep.csv). Let's start with our class.

classdata = read.csv("/home/rebelsky/Stats115/Data/SleepData.csv")

So, what does that table look like again?

> head(classdata)
1       5.50
2      10.00
3       5.75
4       7.50
5      11.00
6       7.00

Okay, just one column, named HoursSlept. How many values are in that column?

> length(classtimes$HoursSlept)
[1] 31

What about the hypothetical data?

hyposleep = read.csv("/home/rebelsky/Stats115/Data/HypoSleep.csv")

And what are those columns named?

> head(hyposleep)
  Sample1 Sample2 Sample3 Sample4
1     7.5     5.1     6.1     7.7
2     7.4     9.1     7.3     8.4
3     6.8     4.7     6.1     5.6
4     7.3     5.2     6.9     5.0
5     6.1     7.2     6.5     5.9
6     5.4     5.3     5.2     8.9

20-2 a. Exploring Class Data

The authors clearly intend for you to do this test “manually”, first computing the mean and standard deviation, then computing the test statistic, and finally looking up the p-value in the table.

20-2 e. Using Technology

There are two kinds of technology appropriate for filling in the table. You can use the applet. I'll admit that I find that an attractive option, since it shows you the parts of the curve for that proportion.

However, you may find it easier, faster, and more accurate to use R. Minimally, you should know what commands are appropriate. In this case, our alternative is two-sided, so we use a slightly different command.

t.test(hyposleep$Sample1, mu=7, alternative="two.sided")
t.test(hyposleep$Sample2, mu=7, alternative="two.sided")
t.test(hyposleep$Sample3, mu=7, alternative="two.sided")
t.test(hyposleep$Sample4, mu=7, alternative="two.sided")

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Samuel A. Rebelsky,

Copyright (c) 2007-8 Samuel A. Rebelsky.

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