Question
1 Three adhesives are being tested to see if they are equally effective. Sample data is as follows: Adhesive A Adhesive B Adhesive C 75
1 | Three adhesives are being tested to see if they are equally effective. Sample data is as follows: | |||
Adhesive A | Adhesive B | Adhesive C | ||
75 | 85 | 92 | ||
80 | 88 | 90 | ||
74 | 92 | 90 | ||
80 | 84 | 93 | ||
79 | 81 | 94 | ||
82 | 80 | 96 | ||
91 | 82 | 90 | ||
90 | 86 | 95 | ||
Assume that the data is normal, that the samples are independent. Perform a hypothesis test at 95% confidence to determine if the population means could be equal. To get full credit, state your null and alternate hypothesis, show the value of your test statistic, show your p-value, and state your conclusion: could all three population means be equal? YES or NO | ||||
Adhesive A | Adhesive B | Adhesive C | ||
sample mean | 81.38 | 84.75 | 92.50 | |
sample std deviation | 6.23 | 3.96 | 2.39 | |
n | 8 | 8 | 8 |
2. The following data explores a possible relationship between hours of training (for employees) and number of mistakes made in a month.
training | mistakes |
3 | 5 |
4 | 3 |
2 | 6 |
5 | 5 |
7 | 4 |
9 | 2 |
6 | 3 |
First, calculate the following:
- The slope- The intercept- Write the equation of the best fit line- Calculate the correlation coefficient.
Using this data, perform a hypothesis tests at 95% confidence to answer this question: Are the slope and correlation coefficient significantly different from zero?
State your null and alternate hypothesis, show your test statistic and show how you made your decision (either p-value or table) and state your conclusion: are the population slope and correlation coefficient different from zero? YES or NO
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