Using proper notation, write the null and alternative hypothesis statements. Analysis of Variance results:
Column statistics
Column n Mean Std. Dev. Std. Error
2017-2018 Goals 20 38.65 4.0817308 0.91270275
2012-2013 Goals 20 22.15 3.8699245 0.86534143
2007-2008 Goals 20 40.6 8.0550736 1.8011692
ANOVA table
Source DF SS MS F-Stat P-value
Columns 2 4109.7 2054.85 63.867414 <0.0001
Error 57 1833.9 32.173684
Total 59 5943.6

Prove that the sum of two consecutive exponents of the number 5 is divisible by 30.if two consecutive exponents are 5n and 5n + 1, then their sum can be written as 30.

Abby is preparing fruit punch for her party. she starts with a bowl filled with liquid that has 1/2 fruit juice and 1/2 sprite, but she decides it's too fruity. so she pours out 1/4 of the liquid, and then fills the bowl up again with sprite. what fraction of the punch is now sprite?

Lems1. the following data set represents the scores on intelligence quotient(iq) examinations of 40 sixth-grade students at a particular school: 114, 122, 103, 118, 99, 105, 134, 125, 117, 106, 109, 104, 111, 127,133, 111, 117, 103, 120, 98, 100, 130, 141, 119, 128, 106, 109, 115,113, 121, 100, 130, 125, 117, 119, 113, 104, 108, 110, 102(a) present this data set in a frequency histogram.(b) which class interval contains the greatest number of data values? (c) is there a roughly equal number of data in each class interval? (d) does the histogram appear to be approximately symmetric? if so,about which interval is it approximately symmetric?