logistic_guy
Full Member
- Joined
- Apr 17, 2024
- Messages
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here is the question
Six different machines are being considered for use in manufacturing rubber seals. The machines are being compared with respect to tensile strength of the product. A random sample of four seals from each machine is used to determine whether the mean tensile strength varies from machine to machine. The following are the tensile-strength measurements in kilograms per square centimeter \(\displaystyle \times 10^{-1}:\)
Perform the analysis of variance at the \(\displaystyle 0.05\) level of significance and indicate whether or not the mean tensile strengths differ significantly for the six machines.
my attemv
it give me this formula to calculate the mean
\(\displaystyle \bar{x}_i = \frac{1}{n_i}\sum_{j=1}^{n_i}x_{ij}\)
i don't know how to use it
\(\displaystyle \bar{x}_1 = \frac{1}{n_1}\sum_{j=1}^{n_1}x_{1j} = \frac{1}{n_1}(x_{11} + x_{12} + \cdots + x_{1n_1}) \)
what's \(\displaystyle n_1\)?
Six different machines are being considered for use in manufacturing rubber seals. The machines are being compared with respect to tensile strength of the product. A random sample of four seals from each machine is used to determine whether the mean tensile strength varies from machine to machine. The following are the tensile-strength measurements in kilograms per square centimeter \(\displaystyle \times 10^{-1}:\)
Machine |
|---|
1 | 2 | 3 | 4 | 5 | 6 |
17.5 | 16.4 | 20.3 | 14.6 | 17.5 | 18.3 |
16.9 | 19.2 | 15.7 | 16.7 | 19.2 | 16.2 |
15.8 | 17.7 | 17.8 | 20.8 | 16.5 | 17.5 |
18.6 | 15.4 | 18.9 | 18.9 | 20.5 | 20.1 |
Perform the analysis of variance at the \(\displaystyle 0.05\) level of significance and indicate whether or not the mean tensile strengths differ significantly for the six machines.
my attemv
it give me this formula to calculate the mean
\(\displaystyle \bar{x}_i = \frac{1}{n_i}\sum_{j=1}^{n_i}x_{ij}\)
i don't know how to use it
\(\displaystyle \bar{x}_1 = \frac{1}{n_1}\sum_{j=1}^{n_1}x_{1j} = \frac{1}{n_1}(x_{11} + x_{12} + \cdots + x_{1n_1}) \)
what's \(\displaystyle n_1\)?