Participation Problems

 

 

1. Joe Kaufman manages the regional Home Depot Ctr. He wishes to compare the productivity and sales, as measured by the number of customers served, among three employees. Four days are randomly selected and the number of customers served by each employee employee are recorded. The results are:

Home Depot – Gary Rodger Home Depot – Tim Joh Home Depot – Ty Goodwin
55 66 47
54 76 51
59 67 46
56 71 48

Is there a difference in the mean number of customers served? Conduct a full eight step hypothesis testing and provide responses for each of the eight steps.

 

 

2. Recently, a group of travel agencies wanted to determine if there was a statistically significant difference between four locations known for their high in vacation sites. So, the travel agencies collected data and the data were all then placed in a data matrix as follows.

England Italy Spain France
94 75 70 68
90 68 73 70
85 77 76 72
80 83 78 65
88 80 74
68 65
65

Is there a difference in mean number of customers visiting four countries? Conduct a full eight step hypothesis testing and provide responses for each of the eight steps.

Sample Solution

This was the first time that the games were held in a Scandinavian country. The Oslo winter games debuted the Olympic torch. This was post World War II and Germany and Japan were banned from the competition. There was, also, a record number of people who watched the events.

Hjallis Andersen from Norway, won three gold medals in speed skating. He won the 5,000 and 10,000 meter races by the largest margin in the history of the events. Andreas Ostler and Lorenz Nieberl of Germany each won two titles. There was controversy because the total weight of their team was over 1,000 pounds, and people complained that they had more momentum which led them to their gold medals. After the Oslo Games, they enforced a 880 pound weight limit. Then Andrea Mead Lawrence, alpine skier, won two gold medals and had arguably the best performance.

American Dick Button became the first skater to perform a triple loop. Canada won the ice hockey title in the winter games as well. Scandinavian countries dominated skiing events. The top 17 skiers were from either Finland, Norway, or Sweden.

Sochi, Russia 2014

This was the first time that the Winter Games were held in Russia. There was controversy surrounding the location of the event because they didn’t think there would be enough snow to cover the grounds for the event. Also, construction of the buildings were behind schedule, and there were complaints of mismanagement and corruption. Russia spent $51 billion on the games, which was the most for any winter Olympic games. Russia was also having turmoil with Ukraine. There was a mechanical failure during the opening ceremony where one of the lights for the Olympic logo was not lit up.

There was approximately 2,800 athletes from 88 countries. There was a record of 98 events. Dominating speed skating was the Dutch team, they took home 23 of the 36 medals that were awarded for speed skating. Dutch speed skater, Ireen Wust, took home 5 medals (2 gold and 3 silver). Russia finished the games with the most gold medals (13) and the most medals all together (33). American skier, Bode Miller, became the oldest Alpine medalist ever (36). Mikaela Shiffrin’s victory made her the youngest Olympic slalom champion in history, she was just 18 years old. Marit Bjorgen (Norway), won 3 gold medals to bring her total to 6, the most all-time for a female Winter Olympian. Ole Einar Bjorndalen (Norway) won two medals to bring his career total to 13, the most by Winter Olympian. To conclude, Canadian men’s and women’s ice hockey took home the gold medal. Canada, also, swept the curling events.

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