Commercial apple trees usually consist of two parts grafted together. The upper part, or graft, determines the character of the fruit, while the root stock determines the size of the tree.The following data are from two root stocks, A and B. The data represent total extension growth (in meters) of the grafts after4 years.Stock A2.812.262.862.913.112.712.742.102.132.942.77Stock B2.523.021.942.372.782.581.962.443.411.582.88

Use a 1% level of significance and the rank-sum test to test the claim that the distributions of growths are different for rootstocks Aand B. Interpret the results.

What is the level of significance?

State the null and alternate hypotheses.

H₀: The distributions of growths are the same.H₁: The distributions of growths are the same.

H₀: The distributions of growths are the same.H₁: The distributions of growths are different.

H₀: The distributions of growths are different.H₁: The distributions of growths are the same.

H₀: The distributions of growths are different.H₁: The distributions of growths are different.

Compute the sample test statistic. (Round your answer to two decimal places.)

What sampling distribution will you use?

uniform

chi-square

Student'st

normal

What conditions are necessary to use this distributions?

Both sample sizes must be greater than 10.

Both sample sizes must be less than 10.

At least one sample size must be greater than 10.

At least one sample size must be less than 10.

Find theP-value of the sample test statistic. (Round your answer to four decimal places.)

What can you conclude from the test?

At the= 0.01 level, we reject the null hypothesis and conclude the data are not statistically significant.

At the= 0.01 level, we reject the null hypothesis and conclude the data are statistically significant.

At the= 0.01 level, we fail to reject the null hypothesis and conclude the data are not statistically significant.

At the= 0.01 level, we fail to reject the null hypothesis and conclude the data are statistically significant.

Interpret your conclusion in the context of the application.

Reject the null hypothesis, there is sufficient evidence to conclude that the growth distributions are different for the two root stocks.

Fail to reject the null hypothesis, there is sufficient evidence to conclude that the growth distributions are different for the two root stocks.

Fail to reject the null hypothesis, there is insufficient evidence to conclude that the growth distributions are different for the two root stocks.

Reject the null hypothesis, there is insufficient evidence to conclude that the growth distributions are different for the two root stocks.