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vladimir2022 [97]
2 years ago
12

The average time for 100-meter race that Usain Bolt used is 9.6 seconds on average. He wants to test whether his speed has decre

ased or not. His speed was tested for 16 times, and the average time is 9.7 seconds. Assume the population standard deviation is 0.1 second. At a 5% significance level, the decision is to _________.
Mathematics
1 answer:
Fantom [35]2 years ago
7 0

Answer:

At a 5% significance level we reject the Null hypothesis H_0

Step-by-step explanation:

From the question we are told that:

Distance d= 100

Mean \mu=9.6

Sample size n=16

Sample mean \=x=9.7

Standard deviation \sigma= 0.1

significance level \alpha=5%=>0.05

Generally the Hypothesis is mathematically given by

 H_0=\mu=9.6

 H_a=\mu=9.6

Generally the equation for t test statistics is mathematically given by

 t=\frac{\=x-\mu}{\frac{\sigma}{\sqrt{n} } }

 t=\frac{9.7-9.6}{\frac{0.1}{\sqrt{16} } }

 t=4

Therefore P-Value from table

 P-Value=0.000

 \alpha>P-value

Therefore

At a 5% significance level we reject the Null hypothesis H_0

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2 years ago
Dominic is 1.75 meters tall. At 2 p.m., he measures the length of a tree's shadow to be 37.95 meters. He stands 33.7 meters away
Mama L [17]

Using similarity principle, the height of the tree is 1.97 meters

<h3>How to find height of the tree?</h3>

He is 1.75 meters tall.

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The length of the tree shadows = 37.95 meters

Using similarity principles where the corresponding length are a ratio of each other.

Therefore,

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cross multiply

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divide both sides by 33.7

x = 66.4125 / 33.7

x = 1.97069732938

x = 1.97 meters

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How can I factor -2x^2+2x+4=0 ?
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