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larisa
2 months ago
5

Using a tape measure Becky Jo found that the circumference of the great redwood was 900cm. She estimated that its diameter was 3

00cm. Was her estimate a little too large or a little too small? Why?
Mathematics
1 answer:
Inessa [12.5K]2 months ago
8 0
The circumference of the circle is equal to - <span>the diameter multiplied by Pi
l = d</span>π
l = 900 cm
π ≈ 3.1415, we will utilize the approximate value of 3
900 cm = d * 3 [:3
d = 300 cm
<span>Due to Becky approximating Pi, there's a variance in the result
</span>
<span>A more precise computation is
</span>
l = d*π
900 cm = d*3.1415
d = 900 cm: 3.1415 = 286.49 cm

<span>Becky calculated a value that was too high</span>



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Answer:

Based on the findings, we infer that the average cost of a wedding is lower than the $30,000 that was initially suggested.

Step-by-step explanation:

The following data set is provided: (in thousands)

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Formula:

\text{Standard Deviation} = \sqrt{\displaystyle\frac{\sum (x_i -\bar{x})^2}{n-1}}

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Initially, we formulate the null hypothesis and the alternative hypothesis.

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Formula:

t_{stat} = \displaystyle\frac{\bar{x} - \mu}{\frac{s}{\sqrt{n}} }

<pinserting the="" values="" we="" derive="">

t_{stat} = \displaystyle\frac{29512.5 - 30000}{\frac{697.82}{\sqrt{8}} } = -1.975

<pnow>

t_{critical} \text{ at 0.05 level of significance, 7 degree of freedom } = -1.894

<pgiven the="" situation="">

t_{stat} < t_{critical}

<pwe do="" not="" accept="" the="" null="" hypothesis="" and="" reject="" it.="">

Thus, we conclude that the average wedding cost is indeed less than the advertised $30,000.

</pwe></pgiven></pnow></pinserting>
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