2. An obstetrician wanted to determine whether the mean number of births was the same for each of the five days of the week. She randomly selected eight days for each of the five weekdays and recorded the number of births on that day in the data table below. Refer to the ANOVA results from Excel. Monday Tuesday Wednesday Thursday Friday 10023 11045 11346 12023 11749 10265 11621 11084 11 171 11545 10283 11753 11593 11903 11627 10456 11944 11570 11745 12321 10691 12509 11216 11233 11624 11189 12577 12193 12132 12422 11 198 12927 11875 12433 12192 11465 13521 11818 12543 12543 SUMMARY Groups Count Sum Average Variance Monday 8 85570 10696.25 279042.5 Tuesday 97897 12237.13 633537.8 Wednesday 8 92695 11586.88 136085.3 Thursday 95183 11897.88 252402.7 Friday 8 96023 12002.88 166186.1 ANOVA Source of Variation SS df MS F P-value F crit Between Groups 1 1507633 4 2876908 9.803713 1.99E-05 2.641465 Within Groups 10270781 35 293450.9 Total 21778414 39 a) Test the hypothesis that the mean number of births for each weekday is the same at the a = 0.01 level of significance. Use the p-value method. b) Do the boxplots of the births for each weekday support the ANOVA results? Explain. If you rejected the null hypothesis, use the boxplot to identify which groups are different. Friday Thursday Wednesday Tuesday Monday 10,000 11,000 12,000 13,000 c) Describe the Type 1 error that may have been committed in your analysis. 2