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categoryإحصاء schoolبكالوريوس event_available2026-07-16

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16.[21] Are the mean number of daily visitors to a ski resort the same for the three types of snow conditions? The following table shows the results of a random selection of days during the ski resort's 2018 season: Powder Machine Made Hard Packed 1,210 2,107 2,346 1,080 1,149 1,638 1,537 862 2,019 941 1,870 1,178 1,528 2,233 1,382 Assume that all distributions are normal and that all data are independent. a. Complete the following ANOVA table and use the data to test the hypothesis of equal means at the 0.05 level of significance. Round values to 2 decimal places, as needed. Sample Standard Deviations Degrees of Freedom Snow Conditions: ni Sample Means Powder 4 k-1= Machine Made 457.94 Hard Packed 1882.8 n-k= Grand Mean: Explain why/why not: b. Is this a balanced design (yes/no)? If not, verify equal population variances by setting up Sk ≤ 2s₁: STEP 1 Write the null and alternative hypotheses. Ho: H₁: STEP 2 Acknowledge the value of a: STEP 3 Calculate the F-Ratio initially by hand, showing values of SST, SSE, MST and MSE: Fo= STEP 3 (cont) Using the Distr menu in your calculator, find the associated p-value for F-1, n-k STEP 4 Set up comparison and state to reject or not... I verified my results using a Fo= test in the calculator. p-value Factor Error df= SS= MS= df= SS = MS-> STEP 5 State conclusion: STEP 5 Generate stacked box plots in your calculator and do your best to sketch below: Make a comment on how the box plots above confirm our conclusion:

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