Answer Happy

I wanted to know if the pollen counts differ between four cities in the US: Los Angeles, Austin, Portland, and NY. I took a random sample of 25 days and calculated the results below. Note: I have removed some of the data from the ANOVA table of results. Fill in the missing data in the ANOVA table (include all values in your hand calculations work) and enter the value you get for your F-statistic below (rounded to two decimal places) Anova: Single Factor SUMMARY Groups Count Sum Average Variance Austin 25 140.70 5.63 0.84 ILA 25 115.70 4.63 0.83 NY 25 39.50 1.58 1.13 Portland 25 42.90 1.72 0.24 ANOVA Source of Variation SS df MS F P-value Fcrit Between Groups 315,92 2.70 Within Groups 73.05 Total

t-Test: Two-Sample Assuming Unequal Variances t-Test Two-Sample Assuming Unequal Variances t-Test: Two-Sample Assuming Unequal va LA 4.63 0.83 NY 1.58 1.13 25 Austin 5.63 0.84 25 Portland 1.72 0.24 25 25 Austin Mean 5.63 Variance 0.84 Observations 25 Hypothesized Meal 0 df 48 Stat 3.87 PfTct) one-tail 0.000164 t Critical one-tail 1.68 P(Tt) two-tail 0.000328 t Critical two-tail 2.01 0 Mean Variance Observations Hypothesized Mean df t Stat P( Tt) one-tail t Critical one-tail P( Tt) two-tail t Critical two-tail Austin 5.63 0.84 25 0 47 14.41 3.63E-19 1.68 7.26E-19 2.01 Mean Variance Observations Hypothesized Mean df t Stat P( Tt) one-tail t Critical one-tail P( Tt) two-tail t Critical two-tail 37 18.80 8.01E-21 1.69 1.6E-20 2.03 t-Test: Two-Sample Assuming Unequal Variances t-Test: Two-Sample Assuming Unequal Variances t-Test: Two-Sample Assuming Unequal Va LA 4.63 0.83 25 NY 1.58 1.13 Portland 1.72 0.24 Portland 1.72 0.24 25 25 0 25 Mean Variance Observations Hypothesized Meal df t Stat P( Tt) one-tail t Critical one-tail P( Tt) two-tail t Critical two-tail 47 10.88 9.75E-15 1.68 1.95E-14 2.01 Mean Variance Observations Hypothesized Mean df Stat P( Tt) one-tail t Critical one-tail P( Tt) two-tail t Critical two-tail LA 4.63 0.83 25 0 37 14.07 9.96E-17 1.69 1.99E-16 2.03 NY Mean 1.58 Variance 1.13 Observations 25 Hypothesized Mean 0 df 34 t Stat -0.58 PIT-t) one-tail 0.282882 t Critical one-tail 1.69 P( Tt) two-tail 0.565764 t Critical two-tail 2.03

After completing a one-way ANOVA test I concluded that I should [Select] the null hypothesis because the F-statistic that I calculated above was [more extreme) than the F-critical of Select ] For this test my between groups degrees of freedom was [ Select] and my within groups degrees of freedom was [ Select] .This test results indicates that I have evidence that there (Select] differences between the city pollen levels. If I conduct post-hoc testing on this data I should use a Bonferroni adjusted alpha of [Select]