Question

The table below shows the price per gallon (in dollars) for a random sample of exterior deck treatments. At a = 0.05, can you reject the claim that the mean price is the same for the three types of treatments? Perform a one-way ANOVA test by completing parts a through d. Assume that each sample is drawn from a normal population, the samples are independent of each other, and the populations have the same variances. 1 8 25 Semitransparent treatments Lightly tinted treatments Clear treatments 21 46 11 17 21 13 19 12 14 19 (a) Identify the claim and state Ho and H. Choose the correct answer below. O A. Ho: At least one mean is different from the others. (claim) OB. Ho: H1 H2 H3 H4 H5 (claim) Ha: H1 H2 H3 Ha: At least one mean is different from the others. c. Ho: H1 H2 H3 (claim) OD. Ho H1 H2 H3 Hg: At least one mean is different from the others. He: At least one mean is different from the others. (claim) (b) Identify the degrees of freedom for the numerator and for the denominator, determine the critical value, and determine the rejection region. The degrees of freedom for the numerator, d.f.N, is 2, and the degrees of freedom for the denominator, d.f.p is 9. The critical value is For (Round to two decimal places as needed.)

Answer 1

treatment	1	2	3
	21	46	11
	17	21	13
	19	12	14
	18		19
	25

Anova: Single Factor
SUMMARY
Groups	Count	Sum	Average	Variance	std dev
1	5	100	20.000	10	3
2	3	79	26.333	310	18
3	4	57	14.250	12	3
ANOVA
Source of Variation	SS	df	MS	F	P-value	F crit
Between Groups	251.3	2	125.6	1.63	0.2496	4.26
Within Groups	695.4	9	77.3
Total	946.7	11

b) criitcal value, Fo=4.26

rejection region, F > 4.26

c) test stat , F =1.63

d) since, F is not in rejection region ,fail to reject Ho

there is not enough evidence at 5% significance level to support the claim that mean price is different

please revert for doubt..