Do different treatments affect the weights of poplar trees? Data below report weights (in kilograms) of...

Do different treatments affect the weights of poplar trees? Data below report weights (in kilograms) of randomly selected poplar trees given different treatments (none, fertilizer, irrigation, fertilizer + irrigation). The treatments are assigned at random to the trees. Conduct a complete hypothesis testing to investigate if there are significant differences in the mean weight of poplar trees at α= 0.05 None (N) Fertilizer (F) Irrigation (I) Fertilizer + Irrigation

none 0.18 0.78 0.23 2.03 0.02

Fertilizer 0.54 0.40 2.07 0.16 0.42,

irrigation 0.34 1.92 0.07 0.88 0.16,

fertilizer + irrigation- 1.87 0.28 0.64

Complete the ANOVA using p value and f value methods

Solutions

Expert Solution

Using Minitab software, (Stat -> ANOVA -> One way), we get the following output :

The value of F statistic = 0.09

P-value = 0.965

Since P-value > 0.05, so we fail to reject H₀ at 0.05 level of significance and we can conclude that there are no significant differences in the mean weight of poplar trees.

orchestra answered 1 year ago

Next > < Previous

Related Solutions

The accompanying data table lists the weights of male college students in kilograms. Test the claim...

The accompanying data table lists the weights of male college students in kilograms. Test the claim that male college students have a mean weight that is less than the 84 kg mean weight of males in the general population. Use a 0.05 significance level. Identify the null hypothesis, alternative hypothesis, test statistic, P-value, and conclusion for the test. Assume this is a simple random sample. Person Weight 1 75 2 97 3 74 4 93 5 59 6 71 7...

The following data represent weights in kilograms of maize harvest from a random sample of 72...

The following data represent weights in kilograms of maize harvest from a random sample of 72 experimental plots on St. Vincent, an island in the Caribbean (Reference: B. G. F. Springer, Proceedings, Caribbean Food Corps. Soc., Vol. 10, pp. 147–152). Note: These data are also available with other software on the Stat Space CD-ROM. For convenience, the data are presented in increasing order. 7.8, 9.1, 9.5, 10.0, 10.2, 10.5, 11.1, 11.5, 11.7, 11.8, 12.2, 12.2, 12.5, 13.1, 13.5, 13.7, 13.7,...

3. The following data are weights of food (in kilograms) consumed per day by adult deer...

3. The following data are weights of food (in kilograms) consumed per day by adult deer collected at different times of the year. Month Weight of food consumed (kg) Feb. 4.7, 4.9, 5.0, 4.8, 4.7 Mar. 4.6, 4.4, 4.3, 4.4, 4.1, 4.2 Oct. 4.8, 4.7, 4.6, 4.4, 4.7, 4.8 Dec. 4.9, 5.2, 5.4, 5.1, 5.6 (a) Is there any difference in the food consumption for all the months studied? (b) If food consumption is not the same for all the...

if you planted a bunch of different trees, how would that affect the carbon and nitrogen...

if you planted a bunch of different trees, how would that affect the carbon and nitrogen cycle?

The data below shows the response results from 40 trials under 4 different treatments A, B,...

The data below shows the response results from 40 trials under 4 different treatments A, B, C, and D. 45.63757, 51.21472, 44.96996, 60.75578, 46.18385, 57.62250, 49.86439, 47.55933, 56.07860, 53.01811, 29.97175, 23.72556, 25.13072, 30.42172, 24.77120, 30.55649, 21.45654, 38.43644, 28.11560, 40.67097, 47.07583, 49.26320, 50.37192, 57.73966, 47.40510, 54.18739, 41.37567, 46.62298, 60.41503, 52.04636, 33.30575, 48.74348, 53.05379, 39.49147, 35.87060, 38.82209, 50.65352, 39.20412, 47.02827, 39.09127 The treatment labels are: "A", "A", "A", "A", "A", "A", "A", "A", "A", "A", "B", "B", "B", "B", "B", "B", "B",...

How do heat treatments affect the hardness and impact properties (microstructure)?

What are the different types of sampling, and how do they affect the statistical data analysis...

What are the different types of sampling, and how do they affect the statistical data analysis decisions?

Listed below are annual data for various years. The data are weights ( metric tons) of...

Listed below are annual data for various years. The data are weights ( metric tons) of imported lemons and car crash fatality rates per 100,000 population. Construct a scatterplot, find the value of the linear correlation coefficient 'r' and find the P- value using significance level 0.05. Is there sufficient evidence to conclude that there is a linear correlation between lemon imports and crash fatality rates? Do the results suggest that imported lemons cause car fatalities? Lemon imports 232 266...

Listed below are annual data for various years. The data are weights (metric tons) of imported...

Listed below are annual data for various years. The data are weights (metric tons) of imported lemons and car crash fatality rates per 100,000 population. Construct a scatterplot, find the value of the linear correlation coefficient r, and find the P-value using alpha equals0.05 Is there sufficient evidence to conclude that there is a linear correlation between lemon imports and crash fatality rates? Do the results suggest that imported lemons cause car fatalities? Lemon_Imports_(x) Crash_Fatality_Rate_(y) 230 15.9 266 15.7 357 ...

Listed below are annual data for various years. The data are weights (metric tons) of imported...

Listed below are annual data for various years. The data are weights (metric tons) of imported lemons and car crash fatality rates per 100,000 population. Construct a scatterplot, find the value of the linear correlation coefficient r, and find the P-value using alpha equals0.05 . Is there sufficient evidence to conclude that there is a linear correlation between lemon imports and crash fatality rates? Do the results suggest that imported lemons cause car fatalities? Lemon Imports 231 265 357 482...

Subjects