Suppose you are testing four population means with independent samples. Further suppose the populations are normally distributed and the population variances are equal. Which overall test should you use? Group of answer choices   The ANOVA F-test   The Welch ANOVA test   The Kruskal-Wallis test   The Chi-Square Goodness of Fit test

Textbook: Statistics for the Behavioral SciencesGregory J. Privitera Please show your work-Concept and Application Problems (Pg.133) If Sample 1 has a variance of 4 and Sample 2 has variance of 32, can we tell which sample had a larger range? If so, which sample had a greater range?

Do cars really get better mileage per gallon on the highway? The table shows results from a study of the MPG (miles per gallon) of cars both in the city and on the highway. Assume that the two samples are randomly selected, independent, the population standard deviations are not know and not considered equal. At the 0.1 significance level, test the claim that the mpg on the highway is better than in the city. MPG on the Highway 35.6 34.3 32.2 33.9 31.1 27.1 33.3 33.4 29.3 33.5 31.4 33.2 33.5 30.8 33.8     MPG in the City 26.4 25.3 18.6 25.6 24.7 24.6 25.1 22.4 29.3 23.7 23.4 22 24 23.6 25.5     What are the correct hypotheses? (Select the correct symbols and use decimal values not percentages.)H0: Select an answer p x̄₁ p₁ σ₁² μ₁ μ₂ μ μ(Highway) x̄₂ p̂₁ s₁² p₂  ? ≤ ≠ < ≥ = >  Select an answer p₁ p₂ p̂₁ μ(City) μ μ₁ μ₂ x̄₁ x̄₂ s₁² σ₁² p H1: Select an answer p₂ μ(Highway) p̂₂ σ₂² x̄₁ x̄₂ s₂² μ₁ μ₂ μ p₁ p  ? < ≠ = ≥ ≤ >  Select an answer p₂ p₁ μ₁ σ₁²…

When applying the rank-sum test, do you need independent or dependent samples? Neither is required, but we prefer dependent samples. Dependent samples are required.     Neither is required,but we prefer independent samples. Independent samples are required.

Treatment Placebo A study was done using a treatment group and a placebo group. The results are shown in the table. Assume that the two samples are independent simple random samples selected from normally distributed populations, and do not assume that the population standard deviations are equal. Complete parts (a) and (b) below. Use a 0.05 significance level for both parts. H1 H2 n 26 34 2.32 2.66 0.61 0.99 "TPL P2 OC. Ho: H1 H2 The test statistic, t, is -1.64. (Round to two decimal places as needed.) The P-value is 0.107. (Round to three decimal places as needed.) State the conclusion for the test. A. Reject the null hypothesis. There is sufficient evidence to warrant rejection of the claim that the two samples are from populations with the same mean. B. Fail to reject the null hypothesis. There is sufficient evidence to warrant rejection of the claim that the two samples are from populations with the same mean. C. Fail to reject the null hypothesis. There is not sufficient evidence…

Need help with question b (the answer is not -0.64 ; 0.82)

I need help with this one please thank you

-what kinds of questions can we test with a t test? -How do you know if two samples are statistically different from each other? In other words, what statistics will tell you if your results are statistically significant?

What conditions are necessary in order to use a one-way ANOVA test? Which conditions below are necessary? Select all that apply. □ □ □ A. The sample sizes must be equal. B. Each population must have the same variance. C. There must be at least 3 samples. D. The sample must be randomly selected from the same population. E. The samples must be randomly selected from a normal, or approximately normal, population. F. The samples must be independent of each other.

One-way ANOVA has more assumptions than the independent samples t test. Group of answer choices True False