hypothesis

[logistic_guy]

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 \(\displaystyle \times 10^{-1}:\)

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 \(\displaystyle n_1\)?

 

[khansaheb]

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 \(\displaystyle \times 10^{-1}:\)

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 \(\displaystyle n_1\)?

I suggest study the given table carefully! What do the numbers in table tell you?

How many rows are their in the table?

How many columns are their in the table?

What does the numbers in the first row tell you?

What does the numbers in rows 2 - 5 and in first column tell you?

Why do you think the numbers were displayed into rows and columns?

These questions should be "embarrassing" for an "advanced engineering" student!!

 

[logistic_guy]

I suggest study the given table carefully! What do the numbers in table tell you?

i do. they're measurement of tensile strenth for rubber seals

How many rows are their in the table?

6 rows

How many columns are their in the table?

7 colums

What does the numbers in the first row tell you?

first row don't have numbers, it's written Machine

What does the numbers in rows 2 - 5 and in first column tell you?

they're measurements of tensile strength for rubber seals produced by the machine \(\displaystyle 1\)

Why do you think the numbers were displayed into rows and columns?

i think they're display like that to be easily compare between the data or performance of each machine

These questions should be "embarrassing" for an "advanced engineering" student!!

it'll be more embaeassing if i pretend to know answers for this type of question and don't ask them