An elevator can hold 2,800 pounds or less. Write and solve an inequality that describes how much more weight the elevator can ho
ldif it is currently holding 2,375 pounds. Interpret the solution.
1 answer:
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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