6 cm
1 answer:
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Answer:
155 women must be randomly selected.
Step-by-step explanation:
We have that to find our level, that is the subtraction of 1 by the confidence interval divided by 2. So:
Now, we have to find z in the Z-table as such z has a p-value of .
That is z with a pvalue of , so Z = 1.645.
Now, find the margin of error M as such
In which is the standard deviation of the population and n is the size of the sample.
The population standard deviation is known to be 28 lbs.
This means that
We want 90% confidence that the sample mean is within 3.7 lbs of the populations mean. How many women must be sampled?
This is n for which M = 3.7. So
Rounding up:
155 women must be randomly selected.
<h3>The absolute error is 6</h3><h3>The percent error is 16.22 %</h3>
<em><u>Solution:</u></em>
Given that,
Actual volume of his bathtub is 37 gal
Estimate is 31 gal
<em><u>Find the absolute error</u></em>
Absolute Error = | Measured Value - Actual Value |
Absolute Error = | 31 - 37 |
Absolute Error = 6
<em><u>Find the percent error</u></em>
Substituting we get,
Negative sign means percent decrease
Thus percent error is 16.22 %