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Sloan [31]
1 year ago
12

The 20 tallest buildings in the world have an average height of 1,667.25 feet, with a standard deviation of 318.31 feet. The Zif

eng Tower and the Wuhan Center have heights of
1,476 feet and 1,437 feet, respectively. The Shanghai Tower and Marina 101 have z-scores of 1.27 and -0.84, respectively.
Part A: List these four buildings in order from shortest to tallest. (5 points)
Part B: Mathematically explain your reasoning and be sure to include all necessary calculations. (5 points)
Mathematics
1 answer:
omeli [17]1 year ago
7 0

The list of the buildings arranged in the order from shortest to tallest

  • Marina 101
  • The Wuhan Center
  • The Zifeng Tower
  • The Shanghai tower

The heights in feet shows that

2072 feet(is the tallest) > 1,476 feet >  1,437 feet > 1400 feet (is the least)

<h3>How to arrange the buildings from shortest to tallest</h3>

Given that the z scores are 127 for The Shanghai tower and -0.84 for Marina

z score = (X - mean) / standard deviation

X = z score * standard deviation + mean

The Shanghai tower

= 1.27 * 318.31 + 1667.25 = 2071.5037 feet

Marina 101

= -0.84 * 318.31 + 1667.25 = 1399.8696 feet

The Zifeng Tower

= 1,476 feet

The Wuhan Center

= 1,437 feet

comparing the heights

2072 feet > 1,476 feet >  1,437 feet > 1400 feet

Learn more on z scores at:

brainly.com/question/24213960

#SPJ1

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Help me out hunnys ❤️
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Step-by-step explanation:

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3 0
3 years ago
Maria must choose a number between 61 and 107 that is a multiple of 5, 6, and 10. Write all the numbers that she could choose. I
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Multiples of 5 : 65,70,75,80,85,90,95,100,105
multiples of 6 : 66,72,78,84,90,96,102
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A random sample of 50 recent college graduates results in a mean time to graduate of 4.58 years, with a standard deviation of 1.
Anna007 [38]

Answer:

The 90% confidence interval for the mean time to graduate with a bachelor’s degree is (4.32, 4.84).

Yes, this confidence interval contradict the belief that it takes 4 years to complete a bachelor’s degree.

Step-by-step explanation:

The (1 - <em>α</em>)% confidence interval for population mean <em>μ, </em>when the population standard deviation is not known is:

CI=\bar x\pm t_{\alpha/2, (n-1)}\times \frac{s}{\sqrt{n}}

The information provided is:

\bar x=4.58\\s=1.10\\\alpha =0.10

Compute the critical value of <em>t</em> for 90% confidence interval and (n - 1) degrees of freedom as follows:

t_{\alpha/2, (n-1)}=t_{0.10/2, (50-1)}=t_{0.05, 49}=1.671

*Use a <em>t</em>-table for the probability.

Compute the 90% confidence interval for population mean <em>μ</em> as follows:

CI=\bar x\pm t_{\alpha/2, (n-1)}\times \frac{s}{\sqrt{n}}

     =4.58\pm 1.671\times \frac{1.10}{\sqrt{50}}\\=4.58\pm 0.26\\=(4.32, 4.84)

Thus, the 90% confidence interval for the mean time to graduate with a bachelor’s degree is (4.32, 4.84).

If a hypothesis test is conducted to determine whether it takes 4 years to complete a bachelor’s degree or not, the hypothesis will be:

<em>Hₐ</em>:<em> </em>The mean time it takes to complete a bachelor’s degree is 4 years, i.e. <em>μ </em>= 4.

<em>Hₐ</em>:<em> </em>The mean time it takes to complete a bachelor’s degree is different from 4 years, i.e. <em>μ </em>≠ 4.

The decision rule based on a confidence interval will be:

Reject the null hypothesis if the null value is not included in the interval.

The 90% confidence interval for the mean time to graduate with a bachelor’s degree is (4.32 years, 4.84 years).

The null value, i.e. <em>μ </em>= 4 is not included in the interval.

The null hypothesis will be rejected at 10% level of significance.

Thus, it can be concluded that that time it takes to complete a bachelor’s degree is different from 4 years.

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3 years ago
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