1. A company has four teams of salespeople and wants to evaluate the results listed below. The sales should be the same. To test this hypothesis, measurements were made in the teams. Analyze the results and conclude about possible differences between teams.
Team 1 | Team 2 | Team 3 | Team 4 |
824 | 817 | 822 | 826 |
821 | 830 | 810 | 828 |
829 | 819 | 831 | 810 |
808 | 809 | 824 | 820 |
815 | 825 | 818 | 815 |
2. Assuming that the chosen variable of a survey is nominal and the finite population of 600 individuals (where 60% of individuals are women). You want to work with a 5% alpha and a 7% sampling error. Calculate the sample size.
3. Arrange the data below into a frequency distribution table containing the class interval, absolute frequency, cumulative frequency, relative frequency, and cumulative relative frequency.
20,4 | 22,3 | 23,1 | 23,5 | 23,8 | 24,1 | 24,3 | 24,3 | 24,6 | 24,8 |
24,9 | 25,0 | 25,1 | 25,3 | 25,3 | 25,4 | 25,6 | 25,7 | 25,8 | 26,0 |
26,0 | 26,1 | 26,2 | 26,2 | 26,3 | 26,5 | 26,6 | 26,7 | 26,8 | 26,9 |
27,1 | 27,1 | 27,3 | 27,5 | 27,7 | 27,9 | 28,0 | 28,3 | 28,7 | 29,6 |
4. Three discus throwers train for the Olympics. Athletes throw their discs 66 meters away (on average), with a standard deviation of 6.1 meters.
How likely is an athlete to throw his disc between 64 and 67 meters?
5. A given sample has a variance of 0.0015 and an average of 12.258. Being the no equal to 12, construct the confidence interval for the sample mean.
6. A general manager of a particular retail chain wants to know if the weather season interferes with the volume of items sold. Test the hypothesis of the season interfering with the volume sold.
Summer | Autumn | Winter | Spring | |
Center Store | 150 | 160 | 165 | 172 |
South Store | 180 | 179 | 177 | 180 |
North Store | 167 | 187 | 123 | 155 |
Main Store | 199 | 187 | 182 | 176 |
7. An automobile received the following notes from specialist magazine readers. For two months the research has been published and now the manufacturer wants to know if there are significant differences between the grades over the two months.
Month Jan | Feb Month |
9 | 6 |
8 | 6 |
7 | 6 |
9 | 6 |
7 | 5 |
6 | 5 |
4 | 5 |
9 | 4 |
9 | 3 |
9 | 2 |
9 | 6 |
8 | 5 |
8 | 5 |
7 | 8 |
8. Through a study of share of mind, four samples of viewers were interviewed, coming from the states of SP, AM, RN and RS. The aim of the researcher is to verify if there are significant differences between the four samples, if there was the same impact of advertising in the states.
SP | AM | RN | LOL |
5,2 | 5,9 | 5,2 | 6,9 |
5,9 | 6,3 | 5,9 | 6,8 |
6,6 | 6,7 | 6,6 | 6,7 |
7,3 | 7,1 | 7,3 | 6,6 |
8,0 | 7,5 | 8,0 | 6,5 |
8,7 | 7,9 | 8,7 | 6,4 |
9,4 | 8,3 | 9,4 | 6,3 |
7,9 | 8,7 | 9,7 | 6,2 |
8,3 | 9,1 | 5,2 | 6,1 |
7,3 | 9,5 | 5,9 | 6,0 |
8,0 | 5,9 | 6,6 | 5,9 |
8,7 | 6,3 | 7,3 | 5,8 |
9,4 | 6,7 | 8,0 | 5,7 |
7,9 | 7,1 | 8,7 | 5,6 |
8,3 | 7,5 | 9,4 | 5,5 |
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