Copepods are tiny crustaceans that are an essential link in the estuarine food web. Marine scientists designed an experiment to determine whether dietary lipid Diatoms Bacteria Macroalgae 421 304 290 (fat) content is important in the population growth of a copepod. Independent random samples of copepods were placed in containers containing lipid-rich diatoms, bacteria, or leafy macroalgae. There were 12 containers total with four replicates per diet. Five gravid (egg-bearing) females were placed in each container. After 14 days, the number of copepods in each container were as given to the right. At the 5% significance level, do the data provide sufficient evidence to conclude that a difference exists in mean number of copepods among the three different diets? 464 296 440 300 503 326 Click here to view page 1 of the F-distribution. Click here to view page 2 of the F-distribution. Click here to view page 3 of the F-distribution. Click here to view page 4 of the F-distribution. First, let μ₁, μ2, and μ3 be the population means times for diatoms, bacteria, and macroalgae, respectively. What are the correct hypotheses for a one-way ANOVA test? Ho: Ha: Now conduct a one-way ANOVA test on the data. What is the F-statistic? F= (Round to two decimal places as needed.) Determine the critical value F. Fα = (Round to two decimal places as needed.) in the rejection region, Since the F-statistic C Ho. The data 312 295 267 sufficient evidence to conclude that the population means are not all the same.

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Copepods are tiny crustaceans that are an essential link in the estuarine food web. Marine scientists designed an experiment to determine whether dietary lipid Diatoms Bacteria Macroalgae
421
304
290
(fat) content is important in the population growth of a copepod. Independent random samples of copepods were placed in containers containing lipid-rich
diatoms, bacteria, or leafy macroalgae. There were 12 containers total with four replicates per diet. Five gravid (egg-bearing) females were placed in each
container. After 14 days, the number of copepods in each container were as given to the right. At the 5% significance level, do the data provide sufficient
evidence to conclude that a difference exists in mean number of copepods among the three different diets?
296
312
300
295
326
267
Click here to view page 1 of the F-distribution. Click here to view page 2 of the F-distribution. Click here to view page 3 of the F-distribution. Click here to view page 4 of the F-distribution.
First, let μ₁, μ₂, and μ3 be the population means times for diatoms, bacteria, and macroalgae, respectively. What are the correct hypotheses for a one-way ANOVA test?
Ho:
H₂:
Now conduct a one-way ANOVA test on the data. What is the F-statistic?
F= (Round to two decimal places as needed.)
Determine the critical value F.
F =
(Round to two decimal places as needed.)
Since the F-statistic
464
440
503
in the rejection region,
Ho. The data
▼sufficient evidence to conclude that the population means are not all the same.
Transcribed Image Text:Copepods are tiny crustaceans that are an essential link in the estuarine food web. Marine scientists designed an experiment to determine whether dietary lipid Diatoms Bacteria Macroalgae 421 304 290 (fat) content is important in the population growth of a copepod. Independent random samples of copepods were placed in containers containing lipid-rich diatoms, bacteria, or leafy macroalgae. There were 12 containers total with four replicates per diet. Five gravid (egg-bearing) females were placed in each container. After 14 days, the number of copepods in each container were as given to the right. At the 5% significance level, do the data provide sufficient evidence to conclude that a difference exists in mean number of copepods among the three different diets? 296 312 300 295 326 267 Click here to view page 1 of the F-distribution. Click here to view page 2 of the F-distribution. Click here to view page 3 of the F-distribution. Click here to view page 4 of the F-distribution. First, let μ₁, μ₂, and μ3 be the population means times for diatoms, bacteria, and macroalgae, respectively. What are the correct hypotheses for a one-way ANOVA test? Ho: H₂: Now conduct a one-way ANOVA test on the data. What is the F-statistic? F= (Round to two decimal places as needed.) Determine the critical value F. F = (Round to two decimal places as needed.) Since the F-statistic 464 440 503 in the rejection region, Ho. The data ▼sufficient evidence to conclude that the population means are not all the same.
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