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6. The Ministry of health in BC wants to compare the average amount of time people spend in the Stanly Park versus English Bay during

6. The Ministry of health in BC wants to compare the average amount of time people spend in the Stanly Park versus English Bay during peak times to implement effective safety measures for COVID-19. A random sample of 25 persons in the Stanly Park spent an average of 14.6 minutes with a sample standard deviation of 5.8 minutes. A random sample of 27 persons in the English Bay spent an average of 11.5 minutes with a sample standard deviation of 4.9 minutes.

Perform a hypothesis test using = 0.05 to determine if the average time people spend in the Stanly park is more than the average time people spend in the English Bay.

7. In a completely randomized design, 7 experimental units were used for each of the three levels of the factor.

Source of Variation Sum of Squares Degrees of Freedom Mean Square F

Treatment

Error 432076.5

Total 675643.3

a. Complete the ANOVA table.

b. Find the critical value at the 0.05 level of significance from the F-table for testing whether the population means for the three levels of the factors are different.

c. Use the critical value approach and = 0.05 to test whether the population means for the three levels of the factors are the same.

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