In a tulip display area, several varieties of tulip have long stems. The lengths

Question

In a tulip display area, several varieties of tulip have long stems. The lengths, in cm, of the flower stems were measured for random samples of four varieties of tulip, the colors being white, pink, red trimmed with yellow, and dark red. the data are shown below:

b. Compute the means and standard deviations for each variety. Give your results below.

c. Perform the analysis of variance procedure to test the null hypothesis of no difference in mean stem length among these tulip varieties. Use alpha=0.05

variety observations white 13.75 13.00 14.25 12.00 12.25 pink 13.75 14.50 12.75 14.50 13.25 red/yellow 12.75 12.50 12.00 14.00 13.00 dark red 16.75 14.25 14.50 15.50 13.75

Explanation / Answer

Ans:

b)

c)ANOVA table:

Test statistic:

F=0.575

p-value=(0.575,4,15)=0.685

As,p-value>0.05,we fail to reject null hypothesis.

There is sufficient evidence to conclude that there is no difference in mean stem length among these tulip varieties.

variety observations white 13.75 13 14.25 12 12.25 pink 13.75 14.5 12.75 14.5 13.25 red/yellow 12.75 12.5 12 14 13 dark red 16.75 14.25 14.5 15.5 13.75 means= 14.25 13.56 13.38 14.00 13.06 std dev.= 1.73 0.97 1.20 1.47 0.63

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