# Question: Suppose you are performing a one way ANOVA test with only

Suppose you are performing a one-way ANOVA test with only the information given in the following table.

a. Suppose the sample sizes for all groups are equal. How many groups are there? What are the group sample sizes?

b. The p-value for the test of the equality of the means of all populations is calculated to be .6406. Suppose you plan to increase the sample sizes for all groups but keep them all equal. However, when you do this, the sum of squares within samples and the sum of squares between samples (magically) remain the same. What are the smallest sample sizes for groups that would make this result significant at a 5% significance level?

a. Suppose the sample sizes for all groups are equal. How many groups are there? What are the group sample sizes?

b. The p-value for the test of the equality of the means of all populations is calculated to be .6406. Suppose you plan to increase the sample sizes for all groups but keep them all equal. However, when you do this, the sum of squares within samples and the sum of squares between samples (magically) remain the same. What are the smallest sample sizes for groups that would make this result significant at a 5% significance level?

**View Solution:**## Answer to relevant Questions

Multiple choice questions: 1. The F distribution is a. Continuous b. Discrete c. Neither 2. The F distribution is always a. Symmetric b. Skewed to the right c. Skewed to the left 3. The units of the F distribution, denoted ...Describe the assumptions that must hold true to apply the one-way analysis of variance procedure to test hypotheses. The recommended acidity levels for sweet white wines (e.g., certain Rieslings, Port, Eiswein, Muscat) is .70% to .85% (www.grapestompers.com/articles/measure_acidity.htm). A vintner (winemaker) takes three random samples of ...Refer to the data given in Exercise 13.98 on the living area (in square feet) and price (in thousands of dollars) of 10 randomly selected houses listed for sale in a city. Construct a 98% confidence interval for the mean ...Explain the following. a. Population regression line b. Sample regression line c. True values of A and B d. Estimated values of A and B that are denoted by a and b, respectivelyPost your question