Question
3. Hypothesis Test for the Population Mean (I) Suppose a relative skill level of 1420 represents a critically low skill level in the league. The
3. Hypothesis Test for the Population Mean (I) Suppose a relative skill level of 1420 represents a critically low skill level in the league. The management of your team has hypothesized that the average relative skill level of your team is greater than 1420. You tested this claim using a 5% level of significance. For this test, you assumed that the population standard deviation for relative skill level is unknown. Explain the steps you took to test this problem and interpret your results.
See Step 3 in the Python script to address the following items:
In general, how is hypothesis testing used to test claims about a population mean?
Summarize all important steps of the hypothesis test. This includes:
a. Null Hypothesis (statistical notation and its description in words)
b. Alternative Hypothesis (statistical notation and its description in words)
c. Level of Significance
d. Report the Test Statistic and the P-value in a formatted table as shown below:
U my IS TeSLIUI iveam A relative skill level of 1420 represents a critically low skill level in the league. The management of your team has hypothesized that the average relative skill level of your team in the years 2013-2015 is greater than 1420. Test this claim using a 5% level of significance. For this test, assume that the population standard deviation for relative skill level is unknown. Make the following edits to the code block below: 1. Replace ??DATAFRAME_YOUR_TEAM?? with the name of your team's dataframe. See Step 2 for the name of your team's dataframe. 2. Replace ??RELATIVE SKILL?? with the name of the variable for relative skill. See the table included in the Project Two instructions above to pick the variable name. Enclose this variable in single quotes. For example, if the variable name is var2 then replace ??RELATIVE_SKILL?? with 'var'. 3. Replace ??NULL_HYPOTHESIS_VALUE?? with the mean value of the relative skill under the null hypothesis. After you are done with your edits, click the block of code below and hit the Run button above. In [5] : port scipy.stats as st 1ean relative skill level of your team an_elo_your_team = your_team_df['elo_n'].mean() int("Mean Relative Skill of your team in the years 2013 to 2015 =", round (mean_elo_your_team, Hypothesis Test ---- TODO: make your edits here ---- st_statistic, p_value = st.ttest_1samp(your_team_df ['elo_n'], 1420) int("Hypothesis Test for the population Mean") int("Test Statistic =", round(test_statistic,2)) int("P-value=", round(p_value, 4)) Mean Relative Skill of your team in the years 2013 to 2015 = 1427.57 Hypothesis Test for the population Mean Test Statistic = 1.23 P-value = 0.2206 U my IS TeSLIUI iveam A relative skill level of 1420 represents a critically low skill level in the league. The management of your team has hypothesized that the average relative skill level of your team in the years 2013-2015 is greater than 1420. Test this claim using a 5% level of significance. For this test, assume that the population standard deviation for relative skill level is unknown. Make the following edits to the code block below: 1. Replace ??DATAFRAME_YOUR_TEAM?? with the name of your team's dataframe. See Step 2 for the name of your team's dataframe. 2. Replace ??RELATIVE SKILL?? with the name of the variable for relative skill. See the table included in the Project Two instructions above to pick the variable name. Enclose this variable in single quotes. For example, if the variable name is var2 then replace ??RELATIVE_SKILL?? with 'var'. 3. Replace ??NULL_HYPOTHESIS_VALUE?? with the mean value of the relative skill under the null hypothesis. After you are done with your edits, click the block of code below and hit the Run button above. In [5] : port scipy.stats as st 1ean relative skill level of your team an_elo_your_team = your_team_df['elo_n'].mean() int("Mean Relative Skill of your team in the years 2013 to 2015 =", round (mean_elo_your_team, Hypothesis Test ---- TODO: make your edits here ---- st_statistic, p_value = st.ttest_1samp(your_team_df ['elo_n'], 1420) int("Hypothesis Test for the population Mean") int("Test Statistic =", round(test_statistic,2)) int("P-value=", round(p_value, 4)) Mean Relative Skill of your team in the years 2013 to 2015 = 1427.57 Hypothesis Test for the population Mean Test Statistic = 1.23 P-value = 0.2206Step by Step Solution
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