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
zloy xaker [14]
3 years ago
6

One year josh had the lowest ERA​ (earned-run average, mean number of runs yielded per nine innings​ pitched) of any male pitche

r at his​ school, with an ERA of 2.89. ​Also,alice had the lowest ERA of any female pitcher at the school with an ERA of 3.31 . For the​ males, the mean ERA was 5.083 and the standard deviation was 0.672. For the​ females, the mean ERA was 4.032 and the standard deviation was 0.649. Find their respective​ z-scores. Which player had the better year relative to their​ peers, josh or alice ​? ​(Note: In​ general, the lower the​ ERA, the better the​ pitcher.)
Mathematics
1 answer:
Anna11 [10]3 years ago
8 0

Answer:

Josh's ERA had a z-score of -3.26.

Alice's ERA had a z-score of -1.11.

Due to the lower z-score(ERA is a stat that the lower the better), Josh had a better year relative to his peers.

Step-by-step explanation:

Z-score:

In a set with mean \mu and standard deviation \sigma, the z-score of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Josh:

ERA of 2.89, mean of 5.083, standard deviation of 0.672. So

X = 2.89, \mu = 5.083, \sigma = 0.672, and the z-score is:

Z = \frac{X - \mu}{\sigma}

Z = \frac{2.89 - 5.083}{0.672}

Z =  -3.26

Josh's ERA had a z-score of -3.26.

Alice:

ERA of 3.31, mean of 4.032, standard deviation of 0.649. So

X = 3.31, \mu = 4.032, \sigma = 0.649, and the z-score is:

Z = \frac{X - \mu}{\sigma}

Z = \frac{3.31 - 4.032}{0.649}

Z =  -1.11

Alice's ERA had a z-score of -1.11.

Which player had the better year relative to their​ peers, josh or alice ?

Due to the lower z-score(ERA is a stat that the lower the better), Josh had a better year relative to his peers.

You might be interested in
What is the quotient of 21.06 and 9​
bekas [8.4K]

Answer:

21.06÷9 = 2 and 36 left over

Step-by-step explanation:

5 0
3 years ago
1+4=5 2+5=12 3+6=21 what is 8+11=
BlackZzzverrR [31]
8+11 is 19 Hope it helped
7 0
3 years ago
Factorise the following quadratic equations ​
vesna_86 [32]

Answer:

see explanation

Step-by-step explanation:

In 13 - 17

Consider the factors of the constant term which sum to give the coefficient of the x- term

13

x² - x - 42 = (x - 7)(x + 6)

15

x² + x - 6 = (x + 3)(x - 2)

17

x² - 27x + 50 = (x - 25)(x - 2)

19

r² - 25 ← is a difference of squares and factors in general as

a² - b² = (a - b)(a + b) , thus

r² - 25

= r² - 5² = (r - 5)(r + 5)

5 0
3 years ago
Read 2 more answers
Can someone help me!<br> if something cost $4.90 due to a 14% discount what is the original price
Vlad [161]

Answer:

$4.21

Step-by-step explanation:

Discount = Original Price x Discount %/100

Discount = 4.9 × 14/100

Discount = 4.9 x 0.14

You save = $0.69

Final Price = Original Price - Discount

Final Price = 4.9 - 0.686

Final Price = $4.21

6 0
3 years ago
Read 2 more answers
How many tenths are in a whole?
Olegator [25]
10 tenths in a whole.....
8 0
3 years ago
Read 2 more answers
Other questions:
  • A line segment is drawn from (1, 9) to (4, 9) on a coordinate grid.
    9·1 answer
  • 10. Write the number 2,049 in<br> expanded form.
    15·2 answers
  • Ivan used coordinate geometry to prove that quadrilateral EFGH is a square.
    8·1 answer
  • Evaluate -3m-2e if m= 6 and e= 1.
    15·2 answers
  • Need help asap plz ​
    14·1 answer
  • Solve the system of equations using substitution. −2x + y = 3.5 <br>−2y = 3x
    11·1 answer
  • A washer and a dryer cost $858 combined. The washer costs $92 less than the dryer. What is the cost of the dryer?
    7·2 answers
  • Find a solution for the equation. Assume that all angles are a cute angles. tan(3Y +32) = cot(Y+32°)
    15·1 answer
  • The Glazed Donut Shop made 120 donuts, and 48 of them are filled with jelly. What percent of the donuts are filled with jelly?
    9·2 answers
  • Which relation is a function of x?
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!