How many parts can all 6 cutting machines cut in 1 minute?
1 answer:
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Cross multiply
2(11-x) = 1(3x+2)
Distribute
22-2x = 3x+2
Subtract 22 from both sides
-2x = 3x-20
Subtract 3x from both sides
-5x = -20
Divide both sides by -5
x=4
Answer:
The degrees of freedom are given by:
And the p value taking in count that we have a bilateral test we got:
Since the p value is higher than the significance level of 0.05 we have enough evidence to conclude that the true mean is not significantly different from 430 the required value
Step-by-step explanation:
Information given
represent the mean for the weight
represent the sample standard deviation
sample size
represent the value that we want to verify
represent the significance level
t would represent the statistic
represent the p value
System of hypothesis
We are trying to proof if the filling machine works correctly at the 430 gram setting, so then the system of hypothesis for this case are:
Null hypothesis:
Alternative hypothesis:
In order to cehck the hypothesis the statistic for a one sample mean test is given by
(1)
Replacing the info given we have this:
The degrees of freedom are given by:
And the p value taking in count that we have a bilateral test we got:
Since the p value is higher than the significance level of 0.05 we have enough evidence to conclude that the true mean is not significantly different from 430 the required value