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Investigators Gave Caffeine to Fruit Flies to See If It

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Investigators gave caffeine to fruit flies to see if it affected their rest. The four treatments were a control, a low caffeine dose of 1 mg/ml of blood, a medium dose of 3 mg/ml of blood, and a higher caffeine dose of 5 mg/ml of blood. Twelve fruit flies were assigned at random to the four treatments, three to each treatment, and the minutes of rest measured over a 24-hour period were recorded. Assume the data that follow are four independent SRSs (one from each of the four populations of caffeine levels) and that the distribution of the yields is Normal. Investigators gave caffeine to fruit flies to see if it affected their rest. The four treatments were a control, a low caffeine dose of 1 mg/ml of blood, a medium dose of 3 mg/ml of blood, and a higher caffeine dose of 5 mg/ml of blood. Twelve fruit flies were assigned at random to the four treatments, three to each treatment, and the minutes of rest measured over a 24-hour period were recorded. Assume the data that follow are four independent SRSs (one from each of the four populations of caffeine levels)  and that the distribution of the yields is Normal.   A partial ANOVA table produced by Minitab follows, along with the means and standard deviation of the yields for the four groups.   The P-value of this test is: A) greater than 0.1. B) between 0.05 and 0.1. C) less than 0.05. D) It is not possible to determine the P-value from the information provided. A partial ANOVA table produced by Minitab follows, along with the means and standard deviation of the yields for the four groups. Investigators gave caffeine to fruit flies to see if it affected their rest. The four treatments were a control, a low caffeine dose of 1 mg/ml of blood, a medium dose of 3 mg/ml of blood, and a higher caffeine dose of 5 mg/ml of blood. Twelve fruit flies were assigned at random to the four treatments, three to each treatment, and the minutes of rest measured over a 24-hour period were recorded. Assume the data that follow are four independent SRSs (one from each of the four populations of caffeine levels)  and that the distribution of the yields is Normal.   A partial ANOVA table produced by Minitab follows, along with the means and standard deviation of the yields for the four groups.   The P-value of this test is: A) greater than 0.1. B) between 0.05 and 0.1. C) less than 0.05. D) It is not possible to determine the P-value from the information provided. The P-value of this test is:

Understand and formulate null and alternative hypotheses for specific real-world scenarios.
Identify the Type I and Type II errors in hypothesis testing and describe their consequences.
Apply the concepts of critical values, significance levels (α), and p-values in the context of hypothesis testing.
Understand the impact of sample size on the probability of making errors in hypothesis testing.

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