Question

The personal director of an engineering company believes that there is a significant positive correlation between the distance (in miles) an employee travels to work, x, and the number of minutes per month the employee is late, y. The sample data from a random sampling of 10 employees is shown in the table below. Is the personal director correct? Use α = 5%. x 2 7 17 17 23 27 35 38 46 53 y 5 8 5 7 3 7 6 8 12 8 (a) State the hypotheses: H0: The Select an answer of miles traveled to work and minutes late per month Select an answer Symbols: ρ ρ0 μ μ0 μ1 μ2 μ1-μ2 x̄ μ Ha: The Select an answer Select an answer of miles traveled to work and minutes late per month Symbols: μ ρ ρ0 μ0 μ1 μ2 μ1-μ2 x̄ μ (b) State the decision rule: Select an answer Select an answer (c) Experiment: at α = Symbol of the sample statistic: x̄ x2 μ1-μ2 μ ρ̂ μ ρ ρ̂1-ρ̂2 x̄1-x̄2 r μ % if the p-value of the Select an answer is Value of the sample statistic rounded to 2 decimal places: P-value of the sample statistic rounded to 4 decimal places:

          The personal director of an engineering company believes that there is a significant positive correlation between the distance (in miles) an employee travels to work, *x*, and the number of minutes per month the employee is late, *y*. The sample data from a random sampling of 10 employees is shown in the table below. Is the personal director correct? Use α = 5%.
x 2 7 17 17 23 27 35 38 46 53
y 5 8 5 7 3 7 6 8 12 8
(a) State the hypotheses:
*H*<sub>0</sub>: The Select an answer
of miles traveled to work and minutes late per month
Select an answer
Symbols: *ρ* *ρ*<sub>0</sub> *μ* *μ*<sub>0</sub> *μ*<sub>1</sub> *μ*<sub>2</sub> *μ*<sub>1</sub>-*μ*<sub>2</sub> *x̄* *μ*
*H*<sub>a</sub>: The Select an answer
Select an answer
of miles traveled to work and minutes late per month
Symbols: *μ* *ρ* *ρ*<sub>0</sub> *μ*<sub>0</sub> *μ*<sub>1</sub> *μ*<sub>2</sub> *μ*<sub>1</sub>-*μ*<sub>2</sub> *x̄* *μ*
(b) State the decision rule:
Select an answer
Select an answer
(c) Experiment:
at α =
Symbol of the sample statistic:
*x̄* *x*<sup>2</sup> *μ*<sub>1</sub>-*μ*<sub>2</sub>
*μ* *ρ̂* *μ*
*ρ* *ρ̂*<sub>1</sub>-*ρ̂*<sub>2</sub> *x̄*<sub>1</sub>-*x̄*<sub>2</sub>
*r* *μ*
% if the p-value of the Select an answer
is
Value of the sample statistic rounded to 2 decimal places:
P-value of the sample statistic rounded to 4 decimal places:

the personal director of an engineering company believes that there is a significant positive correlation between the distance in miles an employee travels to work x and the number of minute 72495

Added by Stephen S.

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