# Week 5: Analysis I

- Which of the following lists has the highest
**standard deviation**?*98, 99, 100, 101, 102**2, 5, 6, 8, 10**13, 13, 16, 19, 22**2, 11*

- In an experiment, 10 participants take the following amount of time (in minutes) to complete a task:
*7, 19, 2, 10, 42, 32, 18, 19, 44, 5*

What is the

**mean**,**median**, and**mode**of this data?*Mean = 20.5, Median = 19.5, Mode = 32**Mean = 19.8, Median = 18.5, Mode = 19**Mean = 20.5, Median = 20.5, Mode = 18.5**Mean = 19.8, Median = 18.5, Mode = 18.5*

- Samples of a pharmaceutical product are routinely tested for the presence of a dangerous toxin. The outcome of the test could be formulated as a
**null**and**alternative**hypothesis in the following way:**H0:**The sample does not contain the toxin.**H1:**The sample contains the toxin.

What is the consequence of making a

**Type I**error in the context of this test?*The sample is discarded when it actually contains the toxin.**The sample is discarded when it actually doesn’t contain the toxin.**The sample is kept when it actually contains the toxin.**The sample is kept when it actually doesn’t contain the toxin.*

- Which of these conditions would result in the highest statistical power for a significance test?
*A significance level of ⍺ = 0.10 and a sample size of n = 150.**A significance level of ⍺ = 0.10 and a sample size of n = 300.**A significance level of ⍺ = 0.01 and a sample size of n = 150.**A significance level of ⍺ = 0.01 and a sample size of n = 300.*

- The table shown below illustrates the result obtained from a One-Way ANOVA test. Please fill in the following detail based on the information available in the table:
*What is the Mean Square value for Between-group setting? Also, briefly elaborate how you computed this value.**What is the Mean Square value for Within-group setting? Also, briefly elaborate how you computed this value.**What is the value of the F-statistic? Briefly elaborate how you computed this value.*

- The table shown above illustrates the result obtained from a
**One-Way ANOVA**test. Given that the**F**value for the aforementioned values of degrees of freedom, i.e.,_{Critical}**2**and**21**, is**3.47**. Please describe whether the two conditions are significantly different from one another or not? Also, describe how did you reach the conclusion about the statistical significance (or its lack)?