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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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