1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
vladimir2022 [97]
3 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]3 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

You might be interested in
The perimeter of a certain rectangle is 16 times the width. The length is 12 cm more than the width. Find the length and width o
Blizzard [7]
Check the picture below

surely you know how much that is.

8 0
3 years ago
Mark the congruent parts of the triangles and complete the proof
eimsori [14]

1) given

2) definition of an angle bisector

3) reflexive

4) \triangle ABD \cong \triangle CBD (ASA)

5) \angle A \cong \angle C (CPCTC)

3 0
2 years ago
Evaluate the expression (2x + y) - z when x= 3, y = 4, z =5​
Lapatulllka [165]

Answer:

5

Step-by-step explanation:

(2x + y) - z

Let x=3  y=4 and z=5

2*3 +4 -5

Multiply and divide first

6 +4 -5

Then add and subtract

10-5

5

5 0
3 years ago
Zach is 6 inches shorter than two times his cousin’s height, c. How tall is Zach? To see what Gabriel did wrong, consider that c
irakobra [83]

Answer:

74 inches

Step-by-step explanation:

If his cousin is 40 inches tall, and Zach is 6 inches less than twice his height, solve for 40*2-6, which is 74.

3 0
3 years ago
A phone plan costs $29.99 per month and includes 200 minutes of calling time. Minutes over 200 are charged at a rate of 25 cents
mylen [45]

Step-by-step explanation:

357-200 is 157 extra minutes (we are only counting the extra minutes)

157*0.25 is 39.25 (this is how much is the extra minutes in total cost)

therefore, add 39.25 and 29.99

29.99+39.25 is 62.24

Therefore, the total bill was $62.24

hope this helps :)

Have a nice day !

5 0
3 years ago
Other questions:
  • 22<br> Solve for x. The figure is a trapezoid.<br> 3x + 18<br> 44<br> Idk
    14·1 answer
  • What is the slope of the line between (-3,6) and (-5,9)?
    9·2 answers
  • Person A buys 12 granola bars and 7 cups of yogurt for $15.50. Person B buys 6 granola bars and 11 cups of yogurt for $11.50. Fi
    9·1 answer
  • Find the product. -8x5y2 · 6x2y
    10·1 answer
  • PLZ HELP ME WITH THIS ASAP
    10·1 answer
  • HELP ME PLEASE LAST QUESTION I OFFER 20 POINTS!?
    9·1 answer
  • which of the following are solutions to the quadratic equation check all that apply x ^ 2 + 10x + 25 = 7​
    5·2 answers
  • Use three different values of n to demonstrate that 2n + 3n is equivalent to 5n.
    15·2 answers
  • How to solve x in a step by step response
    5·2 answers
  • Help me out please an thank you
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!