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
The circumference of the base of a cylinder is 24π mm. A similar cylinder has a base with circumference of 60π mm. The lateral a
earnstyle [38]
Given that the figures are similar polygons, the ratio of their ratios should be equal to the square of the ratio of their circumference. If we let x be the lateral area of the smaller cylinder then,
                        (x/210π) = (24π/60π)²
The value of x from the equation is, 
                                     x = 33.6π
Thus, the area of the smaller cylinder is equal to 33.6π mm². 
6 0
3 years ago
Read 2 more answers
The box-and-whisker plot below represents some data set. What is the minimum value of the data?
ExtremeBDS [4]

Answer:

minimum value is: the left whisker

Step-by-step explanation:

box an whisker plot: left line is the minimum, first part of the box is Q1, where the box has a middle line it is called Median, the other end of the box is Q3, the right line is called the maximum whisker.

Hope this helps

6 0
2 years ago
What is the area of the polygon?
Elenna [48]
Hello,

Answer C
13*(12-3)+3*10=147

6 0
3 years ago
Need help with this problem please
MrMuchimi
I think she bought 23 feet
8 0
3 years ago
Kathy is standing directly between two tall buildings which are 100 feet apart. Her eye level is 5 feet above the ground. Kathy
Zinaida [17]

 

 

Angle of taller building Tan 45° = opposite (height of the building)/ adjacent 50 feet (distance between Kathy and the taller building

Tan 45° = 1

Height of taller building from eye level = multiplying adjacent 50 feet * Angle (Tan 45°) 1 = 50 feet opposite

 

Angle of smaller building Tan 38° = 0.781

Height of smaller building from eye level = Angle * adjacent 50 feet = 39.06 feet

 

 

 

Difference of eye level from ground is 5 feet

Taller building height is 50 + 5

Total height of taller building is 55 feet.

Smaller building height is 39.06 + 5

Total height of smaller building is 44.06 feet

 

 

<span> </span>

4 0
3 years ago
Other questions:
  • Find the sale pice is the original price is $82 and discount is 10%
    15·1 answer
  • What is the answer to number 7b?
    12·1 answer
  • A salesperson receives step commission on sales calculated as follows:
    7·1 answer
  • Calculate the length of a minor arc OP in terms of π​
    14·2 answers
  • 0.75x+1.5=-3<br><br> what’s the answer? tysm for any help! (:
    8·2 answers
  • I need answers about those mathematic problem
    5·1 answer
  • A cafeteria has a special: one hamburger and one order of fries is $5.49, and one hamburger and two orders of fries is $6.99. De
    8·1 answer
  • Find the SUM of the perfect square roots that fall between the square root of 26 and the square root of 70.
    7·1 answer
  • Please help me asap.
    15·1 answer
  • 2. In which set of ordered pairs is y a function of x?
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!