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
ira [324]
3 years ago
12

The mean finish time for a yearly amateur auto race was 185.19185.19 minutes with a standard deviation of 0.3410.341 minute. the

winning​ car, driven by rogerroger​, finished in 184.14184.14 minutes. the previous​ year's race had a mean finishing time of 110.4110.4 with a standard deviation of 0.1370.137 minute. the winning car that​ year, driven by sallysally​, finished in 110.05110.05 minutes. find their respective​ z-scores. who had the more convincing​ victory? rogerroger had a finish time with a​ z-score of nothing. sallysally had a finish time with a​ z-score of nothing. ​(round to two decimal places as​ needed.)
Mathematics
2 answers:
gladu [14]3 years ago
8 0
Sorry Fam I  Tried Hope You Get The Answr Your Looking For!
Andrews [41]3 years ago
4 0

Answer:

Let X the random variable that represent the mean finish time for a yearly amateur auto race a population, and for this case we know the distribution for X is given by:

X \sim N(185.19,0.341)  

Where \mu=185.19 and \sigma=0.341

The z score is given by this formula:

z=\frac{x-\mu}{\sigma}

And for a time of 184.14 we have the following z score:

z = \frac{184.14-185.19}{0.341}= -3.08

Let Y the random variable that represent the mean finish time for the previous year auto race a population, and for this case we know the distribution for X is given by:

Y \sim N(110.4,0.137)  

Where \mu=110.4 and \sigma=0.137

The z score is given by this formula:

z=\frac{x-\mu}{\sigma}

And for a time of 110.05 we have the following z score:

z = \frac{110.05-110.4}{0.137}=-2.557

As we can see we have a higher z score for the case of the previous year so then we have a more convincing victory on this case since represent a higher quantile in the normal standard distribution.

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".  

Solution to the problem

Let X the random variable that represent the mean finish time for a yearly amateur auto race a population, and for this case we know the distribution for X is given by:

X \sim N(185.19,0.341)  

Where \mu=185.19 and \sigma=0.341

The z score is given by this formula:

z=\frac{x-\mu}{\sigma}

And for a time of 184.14 we have the following z score:

z = \frac{184.14-185.19}{0.341}= -3.08

Let Y the random variable that represent the mean finish time for the previous year auto race a population, and for this case we know the distribution for X is given by:

Y \sim N(110.4,0.137)  

Where \mu=110.4 and \sigma=0.137

The z score is given by this formula:

z=\frac{x-\mu}{\sigma}

And for a time of 110.05 we have the following z score:

z = \frac{110.05-110.4}{0.137}=-2.557

As we can see we have a higher z score for the case of the previous year so then we have a more convincing victory on this case since represent a higher quantile in the normal standard distribution.

You might be interested in
3x-3=3/4(2x+12)<br><br>solve for X<br> it can be a number,infinite solution or no solution.​
Hitman42 [59]

Answer:The answer below which the image.

Step-by-step explanation:

Hope this helps!!!

6 0
3 years ago
Read 2 more answers
Tina creates a dot plot using the match scores 3, 2, 4, 5, 2, 3, 1, 2, 1, and 5. Which of the following dot plots represents the
bogdanovich [222]
The answer is

B. A dot plot is shown with the title Match Scores. There are 2 dots over score 1, 3 dots over score 2, 2 dots over score 3, 1 dot over score 4, and 2 dots over score 5.

100% Verified!

Hope This Helps!:)

7 0
3 years ago
6 divided by 1 5/16
kkurt [141]
1 7/8 is the answer

Please mark brainiest
3 0
2 years ago
Read 2 more answers
What is the total amount of sap the trees produced that day ?
Vikki [24]

Answer:

1 gallon

Step-by-step explanation:

hope this helps

6 0
3 years ago
un supermercado ha comprado docientas cinquenta bolsas de naranjas de cinco kilos de trecientos ochenta euros y las pone a la ve
nasty-shy [4]

Answer:

zzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz

Step-by-step explanation:

5 0
2 years ago
Other questions:
  • If x + 5y = -11 and 2x − 3y = 17, what is the value of x + y?
    11·1 answer
  • You earn $8.60/hr. You work 32 hr/wk and your deductions are FICA (7.65%), federal tax withholding (10.6%), and state tax withho
    11·1 answer
  • PLEASE HELP ME 60 POINTS
    5·1 answer
  • What is two times two
    5·2 answers
  • The local taxi charges $3.00 plus $1.25 for every mile traveled. Determine whether the function is proportional or non proportio
    10·2 answers
  • - 5༩ +9 = 24<br> what is the answer? show your work.
    8·1 answer
  • Simplify the expression: <br> 6x ^ 2 + 7x - 3x ^ 2 - 2x
    12·1 answer
  • Triangle CAT is equilateral and centered at the origin.
    5·1 answer
  • Solve for x please will mark brainliest
    9·2 answers
  • The equation h = 7 sine (startfraction pi over 21 endfraction t) 28 can be used to model the height, h, in feet of the end of on
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!