A random sample of track times from three different kinds of compact disks is li

Question

A random sample of track times from three different kinds of compact disks is listed. Is there a difference in means for the three different types? Use ?-005. Jazz Classical Pop 4:504:02 5:57 5:22 5:23 3:40 6:05 4:13 3:54 5:03 3:57 4:10 2:39 2. A random sample of heights (in feet) of mountain peaks in three states is listed. Using the 005 level of sig- Alaska Colorado California 17400 14420 nificanco tst the laim that the mean height is the same forall hreestates 153851426 1623714309 1588514270 145001426414153 14494 14246 14 067

Explanation / Answer

1) here to test if there is a difference in means of three groups, we use one way ANOVA

H0 : there is no difference in the treatment means

H1 : There is difference in the treatment means

Now we create the ANOVA table

p-value > 0.05 hence we reject the hypothesis of zero difference(null hyppo).

Hence we say that there is the difference in the averages of three different groups.

2) Here to test if there is a difference in means of three groups, we use one way ANOVA

H0 : there is no difference in the treatment means

H1 : There is difference in the treatment means

The ANOVA table is as follows

Here p-value < 0.05

Hence we accept the null hypothesis.

Hence we can say that there is no difference in the treatment means.

jazz classical pop 4.5 4.02 5.57 5.22 5.23 3.4 6.05 4.13 3.54 5.03 3.57 4.10 2.39 n 5 4 4 x_bar 13.692 4.237 4.152 s 20.509 0.705 0.992 x_bar average 7.848

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