Tukey Kramer test
| Level of significance | 0.05 |
| no. of treatments,k | 3 |
| DF error =N-k= | 153 |
| MSE | 1078.536 |
| q-statistic value(α,k,N-k) | 3.348 |
| fridays | satudays | sundays | |
| count, ni = | 52 | 52 | 52 |
| mean , x̅ i = | 396.769 | 441.712 | 390.135 |
critical value = q*√(MSE/2*(1/ni+1/nj)) = 15.2476
confidence interval = mean difference ± critical
value
if confidence interval contans zero, then means are not
different.
| confidence interval | |||||||
| population mean difference | critical value | lower limit | upper limit | result | |||
| µfridays-µsatudays | -44.942 | 15.2476 | -60.19 | -29.69 | yes,means are different | ||
| µfridays-µsundays | 6.635 | 15.2476 | -8.61 | 21.88 | no, means are not different | ||
| µsaturdays-µsundays | 51.577 | 15.2476 | 36.33 | 66.82 | yes, means are different | ||
Anova: Single Factor b. Use Tukey's HSD method at the 5% significance level to determine which...
A one-way analysis of varlance experlment produced the following ANOVA table. (You may find it useful to reference the g table). SUMMARY Count Groups Column 1 Column 2 olumn 3 Source of Variation Between Groups Within Groups Total Average 8.89 1.31 2.35 SS 8.65 df 15 17 MS 4.33 0.26 16.65 8.6882 12.48 a. Conduct an ANOVA test at the 1% significance level to determine if some population means differ. o Reject Ho, we can conclude that some population means...
Please help with b and c, thanks! A one-way analysis of variance experiment produced the following ANOVA table. (You may find it useful to reference the q table). SUMMARY Groups Count Average Column 1 6 0.89 Column 2 6 1.31 Column 3 6 2.35 Source of Variation SS df MS F p-value Between Groups 8.65 2 4.33 16.65 0.0002 Within Groups 3.83 15 0.26 Total 12.48 17 b. Calculate 99% confidence interval estimates of μ1 − μ2,μ1 − μ3, and...
CH13 Q7
Given a recent outbreak of illness caused by E. coli bacteria, the mayor in a large city is concerned that some of his restaurant inspectors are not consistent with their evaluations of a restaurant's cleanliness In order to investigate this possibility, the mayor has five restaurant inspectors grade (scale of O to 100) the cleanliness of three restaurants. The results are shown in the accompanying table. (You may find it useful to reference the g table.) Restaurant Inspector...
The following output summarizes the results for a one-way analysis of variance experiment in which the treatments were three different hybrid cars and the variable measured was the miles per gallon (mpg) obtained while driving the same route. (You may find it useful to reference the g table.) Hybrid 1: ア1-33, n1-20 Hybrid 2:239, n2 - 15 Hybrid 3:29, n3 18 Source of Variation Between Groups Within Groups Total df 1,181.44 1,439.34 2,620.78 MS 590.72 28.79 p-value 0.0000 20.52 50...
CH13 Q7
Given a recent outbreak of illness caused by E. coli bacteria, the mayor in a large city is concerned that some of his restaurant inspectors are not consistent with their evaluations of a restaurant's cleanliness. In order to investigate this possibility, the mayor has five restaurant inspectors grade (scale of O to 100) the cleanliness of three restaurants. The results are shown in the accompanying table. (You may find it useful to reference the g table.) 10 points...
The following output summarizes the results for a one-way
analysis of variance experiment in which the treatments were three
different hybrid cars and the variable measured was the miles per
gallon (mpg) obtained while driving the same route. (You
may find it useful to reference the q
table.)
Hybrid 1: x¯1x¯1 = 25, n1 = 20
Hybrid 2: x¯2x¯2 = 35, n2 = 15
Hybrid 3: x¯3x¯3 = 21, n3 = 18
The following output summarizes the results for a...
Check my wor The following output summarizes the results for a one-way analysis of variance experiment in which the treatments were three different hybrid cars and the variable measured was the miles per gallon (mpg) obtained while driving the same route. (You may find it useful to reference the table.) Hybrid 1: 2 - 27, n = 20 Hybrid 2: = 41, n2 = 15 Hybrid 3 = 34, n = 18 df Source of Variation Between Groups Within Groups...
Given a recent outbreak of illness caused by E. coli bacteria, the mayor in a large city is concerned that some of his restaurant inspectors are not consistent with their evaluations of a restaurant's cleanliness. In order to investigate this possibility, the mayor has five restaurant inspectors grade (scale of O to 100) the cleanliness of three restaurants. The results are shown in the accompanying table. (You may find it useful to reference the q table.) Restaurant Inspector 72 68...
HWCh13 ANOVA Saved 4 Exercise 13-67 Algo 59 points At a gymnastics meet, three judges evaluate the balance beam performances of five gymnasts. The judges use a scale of 1 to 10, where 10 is a perfect score. A statistician wants to examine the objectivity and consistency of the judges. Assume scores are normally distributed. (You may find it useful to reference the q table.) eBook Gymnast 1 Gymnast 2 Gymnast 3 Gymnast 4 Gymnast 5 Judge 1 9.4 9.3...
Exercise 13-39 Static Given a recent outbreak of illness caused by E. coli bacteria, the mayor in a large city is concerned that some of his restaurant inspectors are not consistent with their evaluations of a restaurant's cleanliness. In order to investigate this possibility, the mayor has five restaurant inspectors grade (scale of 0 to 100) the cleanliness of three restaurants. The results are shown in the accompanying table. (You may find it useful to reference the g table.) Restaurant...