Does soil filled with nitrogen increase the weight of worms compared with soil without nitrogen? The weight of 20 randomly selected worms is acquired, 10 in soil with nitrogen and 10 in soil without nitrogen. The mean weight of worms in soil with nitrogen was 36.6 micrograms whereas the mean weight of worms in soil without nitrogen was 27.3 micrograms. A researcher randomized the data over 100 trials, and the difference of means for each trial is shown in the dot plot below.

Part A: What is the margin of error (ME) for this study? Show your work.

Part B: What can the researcher conclude from this study? Explain using complete sentences.

Atest of sobriety involves measuring the subject's motor skills. a sample of 31 randomly selected sober subjects take the test and produce a mean score of 64.4 with a standard deviation of 2. a claim is made that the true mean score for all sober subjects is equal to 65. for each part below, enter only a numeric value in the answer box. for example, do not type "z =" or "t =" before your answers. round each of your answers to 3 places after the decimal point. (a) calculate the value of the test statistic used in this test. test statistic's value = (b) use your calculator to find the p-value of this test. p-value = (c) use your calculator to find the critical value(s) used to test this claim at the 0.2 significance level. if there are two critical values, then list them both with a comma between them. critical value(s) =