#3. A member of the Santa Cruz, California business community wants to know if local employees take a different number of paid days off (e.g., vacation, sick leave) than the national average. The mean paid days off for 8 local employees is 15.74 with a standard deviation = 5.80. The national average is 10.38. Use alpha = 0.01 in this test of hypothesis. STEP 1. Identify the variable, names of the groups being compared, and numerical information provided. Variable: Population/condition of interest: Comparison population/condition: STEP 2. State the research and null hypotheses in words and symbols Research: Null: brmulas the n STEP 3. Characteristics of the comparison distribution. Identify/calculate the mean and standard deviation of the comparison distribution. Label the distribution as shown in class. -2 -1 STEP 4. Identify the critical value(s) for this test, label it (them) on the distribution, shade the rejection region(s). STEP 5. (a.) Calculate the test statistic, mark and label it on the comparison distribution. (b.) Use a Quick P-Value calculator (See Canvas > Modules > Formulas, Statistical Tables, and Applets > Applets) and write the exact p-value below. (c.) Calculate effect size.

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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#3. A member of the Santa Cruz, California business community wants to know if local employees take a different
number of paid days off (e.g., vacation, sick leave) than the national average. The mean paid days off for 8 local
employees is 15.74 with a standard deviation 5.80. The national average is 10.38. Use alpha = 0.01 in this test of
hypothesis.
%3D
%3D
STEP 1. Identify the variable, names of the groups being compared, and numerical information provided.
Variable:
Population/condition of interest:
Comparison population/condition:
STEP 2. State the research and null hypotheses in words and symbols
Research:
Null:
the nur
STEP 3. Characteristics of the comparison distribution.
Identify/calculate the mean and standard deviation of the
comparison distribution. Label the distribution as shown in class.
-3
-2
-1
2.
3.
STEP 4. Identify the critical value(s) for this test, label it (them) on the distribution, shade the rejection region(s).
STEP 5. (a.) Calculate the test statistic, mark and label it on the comparison distribution. (b.) Use a Quick P-Value
calculator (See Canvas > Modules > Formulas, Statistical Tables, and Applets > Applets) and write the exact
p-value below. (c.) Calculate effect size.
Transcribed Image Text:#3. A member of the Santa Cruz, California business community wants to know if local employees take a different number of paid days off (e.g., vacation, sick leave) than the national average. The mean paid days off for 8 local employees is 15.74 with a standard deviation 5.80. The national average is 10.38. Use alpha = 0.01 in this test of hypothesis. %3D %3D STEP 1. Identify the variable, names of the groups being compared, and numerical information provided. Variable: Population/condition of interest: Comparison population/condition: STEP 2. State the research and null hypotheses in words and symbols Research: Null: the nur STEP 3. Characteristics of the comparison distribution. Identify/calculate the mean and standard deviation of the comparison distribution. Label the distribution as shown in class. -3 -2 -1 2. 3. STEP 4. Identify the critical value(s) for this test, label it (them) on the distribution, shade the rejection region(s). STEP 5. (a.) Calculate the test statistic, mark and label it on the comparison distribution. (b.) Use a Quick P-Value calculator (See Canvas > Modules > Formulas, Statistical Tables, and Applets > Applets) and write the exact p-value below. (c.) Calculate effect size.
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