Arithmetic mean

Now suppose there are only finitely many primes congruent to 5 modulo 6, say p_1, ..., p_k. Write M for p_1 * p_2 * ... * p_k and put N = 6M - 1. Now N = 5 (mod 6). If p is a prime divisor of 6 and p | N, then p | N - 6M = 1, a contradiction. This means that 2 and 3 are not prime factors of N. Thus it follows from the lemma that every prime p | N is either 1 or 5 mod 6. If every such prime is 1 mod 6, then N would be as well, a contradiction, so there is some prime p | N that is congruent to 5…

can easily determine the result with the <Table1 >and <Table 2>. For the result, when you combine two full datas, sugar maple has the highest important value. Pin Oak, Ah, Aspen, Dogwood, Mountain Laurel and Elm has the lowest important value which means these trees are not present in both forest/parks. Most of trees are overlapping that it helps to prove experimenter ’s hypothesis. Hypothesis is both Harriman State Park and Rampage Valley County Reservation Park are temperate…

choosing the appropriate market risk premium. There are two historical equity risk premiums given for a time period from 1926 to 1999: Geometric mean and arithmetic mean. The geometric mean is a better estimate for longer life valuation while the arithmetic mean is better for a one-year estimated expected return. Therefore, we chose to use the geometric mean to coincide with the choice to use the 20-year yield on U.S. Treasuries, which is 5.9 percent. Next, we had to decide on a beta to use for…

Students in the online sections should email their cases to their online TA. Name: Jennifer Johnson Zhao Jin OIS – 3440 Applications of Business Statistics Section “00” Instructor: Professor Tariq Mughal Case 10.1 Motive Power Company – part 1 Executive Summary In case 10 .1 Motive Power Company Part 1, manufacturing manager Cregg Hart is approached by another supplier for rivets. Motive Power is very keen on their quality and are interested in evaluating the new rivets by…

as to which was the most and the least important to shoppers. Ease of Return/Exchange Goods In the category of ease of returning or exchanging goods, the mean was 4.913, a mode of 7, a range of 6, and a standard deviation of 2.066. The mean for the category fell in the middle of all the other categories and…

A sample revealed three bags of 56, two bags of 57, one bag of 55, and two bags of 58. To test the hypothesis that the mean candies per bag is 56, how many degrees of freedom are there? * 8 * 9 * 7 * 1 Which of the following is most appropriately displayed with a frequency table? * What percentage of people prefer Hunt's brand ketchup * The home location of the most valuable customers * The relationship between gender and job performance *…

Results Table 1 shows the means and standard deviation of Red and Black coloured words recalled in Mozart’s music and no Music condition. Table 1. Means (and Standard Deviations) for experimental conditions. Word colour Music Condition Black words Red words Mean (±SD) Mean (±SD) Mozart’s Music…

my eye. The first being the one labeled “Then and Now” which shows the difference in percentages from 2004 to 2013 in whether people described themselves as optimists or pessimists. The percent of Optimist decreased from 70% to 50%, which can only mean that more people negatively view the aspects of things which questionably brings up the question to why more people think this way? Sadness is a main part of thinking negatively which is also related to one’s surroundings and environment. This…

Conclusion The hypothesis stated that, “If the amount of water a seed receives is increased, then the amount of seeds that sprout will increase because seeds need water to germinate.” The hypothesis was supported however it is also refuted because, the amount of seeds that germinated declined in numbers at 100 drops/hour. Whereas before it increased for 0 to 71 from 0 drops to 75 drops/hour.The refined hypothesis states that if the amount of water a seed receives increases, then the amount of…

3. Results and discussion 3.1. Effect of pH on the percent extraction values of Sn(II) by SbS-DET. The effect of pH of reacting species such as metal ions and ligands for the formation of metal complexes is known to play a significant role in their removal and extraction processes [24]. To evaluate and identify the possible contribution of pH value of metal ion on the SbS-DET process for the formation of Sn(II)–(8HQ)2 complex via complexation and removal of Sn(II) from aqueous…