Find the value of the test statistic. (Round your answer to two decimal places.)[ Text Box ]Find the *p*-value. (Round your answer to four decimal places.)*p*-value = [ Text Box ]State your conclusion.- ○ Do not reject H₀. There is sufficient evidence to conclude that the means for the three treatments are not equal.- ○ Do not reject H₀. There is not sufficient evidence to conclude that the means for the three treatments are not equal.- ○ Reject H₀. There is not sufficient evidence to conclude that the means for the three treatments are not equal.- ○ Reject H₀. There is sufficient evidence to conclude that the means for the three treatments are not equal. ### Analysis of Variance (ANOVA)In a completely randomized design, researchers used 12 experimental units for the first treatment, 14 for the second treatment, and 20 for the third treatment. An analysis of variance (ANOVA) was conducted to determine if there is a significant difference between the treatments. Below is the ANOVA table that summarizes the results:| Source of Variation | Sum of Squares | Degrees of Freedom | Mean Square | F | p-value ||---------------------|----------------|-------------------|-------------|------|---------|| Treatments | 1,400 | 45 | 700 | | || Error | 700 | 2 | | | || Total | 2,100 | 43 | | | |### Hypothesis Testing**At a 0.05 level of significance, is there a significant difference between the treatments?**1. **Null Hypothesis ($H_0$)**: $\mu_1 = \mu_2 = \mu_3$ - All population means are equal. 2. **Alternative Hypothesis ($H_a$)**: Not all the population means are equal. - At least one of the population means is different.### Instructions- Round the values for Mean Square Error (MSE) and F-statistic to two decimal places.- Round the p-value to four decimal places.- Fill in the blanks in the table for Mean Square, F, and p-value based on calculations.Determine if the null hypothesis should be rejected and if the treatment means differ significantly.--- This setup is typical for analyzing experimental data to check for differences among group means. Understanding how to complete such an ANOVA table and interpreting its results are key skills in statistical analysis and experimental design.

From the given information, the sum of squares for treatments (SSTR) is 1400 and the sum of squares…

Answered: In a completely randomized design, 12…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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One sample has n=7 and SS=35 and a second sample has n =17 and SS =45. What is the pooled variance for these two samples?
In a completely randomized design, 18 experimental units were used for the first treatment, 19 for the second treatment, and 20 for the third treatment. Complete the following analysis of variance. (Round your values for MSE and F to two decimal places, and your p-value to four decimal places.) Source of Variation Sum of Squares Degrees of Freedom Mean Square F p-value Treatments 1,500 Error Total 2,400 At a 0.05 level of significance, is there a significant difference between the treatments? State the null and alternative hypotheses: A) H0: At least two of the population means are equal. Ha: At least two of the population means are different. B) H0: ?1 ≠ ?2 ≠ ?3Ha: ?1 = ?2 = ?3 C) H0: ?1 = ?2 = ?3Ha: ?1 ≠ ?2 ≠ ?3 D) H0: ?1 = ?2 = ?3 Ha: Not all the population means are equal. E)H0: Not all the population means are equal.Ha: ?1 = ?2 = ?3 #2) Find the value of the test statistic (Round your answer to two decimal places) Find the…
A researcher takes sample temperatures in Fahrenheit of 16 days from San Francisco (Group 1) and 22 days from Atlanta (Group 2). Test the claim that the mean temperature in San Francisco is less than the mean temperature in Atlanta. Use a significance level of a = 0.10. Assume the populations are approximately normally distributed with unequal variances. You obtain the following two samples of data. Round answers to 4 decimal places. San Francisco 77.4 94.8 77 80.9 84 Ho: M₁ 73.4 84.9 92 60.6 83.6 92.5 76.3 93.4 87.2 81.5 70.4 What are the correct hypotheses? Note this may view better in full screen mode. Select the correct symbols for each of the 6 spaces. Atlanta 85.4 92.8 80.2 87.9 80.6 77.9 72.9 75.9 72.1 76.7 80.4 92.5 75.9 72.1 97.7 89.2 88.1 80 92.2 86 96.2 91.9 p-value H₁: M₁ Based on the hypotheses, find the following: Test Statistic = -0.635 X = 0.2494 × OH₂ The p-value is greater than alpha OF H₂ to alpha. The correct decision is to fail to reject the null hypothesis or The…
Second slide is the first part of the question and first slide is the second part of the question.
In a completely randomized design, 12 experimental units were used for the first treatment, 15 for the second treatment, and 20 for the third treatment. Complete the following analysis of variance (to 2 decimals, if necessary). If the answer is zero enter "0". Source of Variation Sum of Squares Degrees of Freedom Mean Square F p-value Treatments 1,100 Error Total 1,500 At a=.05 level of significance, is there a significant difference between the treatments?
You may need to use the appropriate technology to answer this question. In a completely randomized design, 15 experimental units were used for the first treatment, 17 for the second treatment, and 20 for the third treatment. Complete the following analysis of variance. (Round your values for MSE and F to two decimal places, and your p-value to four decimal places.) Source of Variation Sum of Squares Degrees of Freedom Mean Square F p-value Treatments 1,100 Error Total 1,800 At a 0.05 level of significance, is there a significant difference between the treatments? State the null and alternative hypotheses. H0: ?1 = ?2 = ?3Ha: ?1 ≠ ?2 ≠ ?3H0: ?1 ≠ ?2 ≠ ?3Ha: ?1 = ?2 = ?3 H0: At least two of the population means are equal.Ha: At least two of the population means are different.H0: Not all the population means are equal.Ha: ?1 = ?2 = ?3H0: ?1 = ?2 = ?3Ha: Not all the population means are equal. Find the value of the test statistic. (Round your…
Refer to the below table. Using an alpha = 0.05, test the claim that IQ scores are the same for children in three different blood lead level groups: low lead level, medium lead level, and high lead level). One-Way Analysis of Variance Summary Table for IQ Measurements for Children among Three Blood Lead Level Groups: Low Lead Level, Medium Lead Level, and High Lead Level. Source df SS MS F p Between-group (treatment) 2 469.1827 2677.864 2.30 0.104 Within-group (error) 118 203.6918 11745.05 Total 120
A sample of the monthly amounts spent for food by families of four receiving food stamps approximates a symmetrical distribution. The sample mean is $150 and the variance is $400. Using the Empirical Rule, about 95 percent of the monthly food expenditures are between what two amounts? Select one: $85 and $105 Ob. $205 and $220 O $110 and $190 Od. $100 and $200

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