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
In-s [12.5K]
3 years ago
14

est scores for a statistics class had a mean of 79 with a standard deviation of 4.5. Test scores for a calculus class had a mean

of 69 with a standard deviation of 3.7. Suppose a student gets a 84 on the statistics test and a 96 on the calculus test. Calculate the z-score for each test. On which test did the student perform better relative to the other students in each class
Mathematics
1 answer:
Arte-miy333 [17]3 years ago
7 0

Answer:

The z-score for the statistics test grade is of 1.11.

The z-score for the calculus test grade is 7.3.

Due to the higher z-score, the student performed better on the calculus test relative to the other students in each class

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.

In this question:

The grade with the higher z-score is better relative to the other students in each class.

Statistics:

Mean of 79 and standard deviation of 4.5, so \mu = 79, \sigma = 4.5

Student got 84, so X = 84

The z-score is:

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

Z = \frac{84 - 79}{4.5}

Z = 1.11

The z-score for the statistics test grade is of 1.11.

Calculus:

Mean of 69, standard deviation of 3.7, so \mu = 69, \sigma = 3.7

Student got 96, so X = 96

The z-score is:

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

Z = \frac{96 - 69}{3.7}

Z = 7.3

The z-score for the calculus test grade is 7.3.

On which test did the student perform better relative to the other students in each class?

Due to the higher z-score, the student performed better on the calculus test relative to the other students in each class

You might be interested in
Jose graphed the amount of money paid in relation to the Number of avocados bought. Which statement best describes the unit rate
Svet_ta [14]

Answer:

The Answer is C

Step-by-step explanation:

5 0
2 years ago
A rectangular pyramid is sliced parallel to its base as shown in the figure. What is the shape of the resulting two-dimensional
Fed [463]

Answer:

Bbsvsgdv

Step-by-step explanation:

Bsbzvevv

7 0
3 years ago
Round this number to the nearest million<br><br> 135,458,267
Svet_ta [14]
1,000,000 is million
to round look at hundred thousand place or 100,000
see number before million (after comma)

if it is greater than or equal to 5, add 1 to current value of million and say all after is 0
if less than 5 then leave million value as is and make after 0


135,458,267
hundred thousand value is 4
4<5
135,000,000
4 0
3 years ago
Which option below best describes the polynomial 4x3 + 3x2 - 1 ?
agasfer [191]
The answer is 17
4x3=12
3x2=6
12+6=18
18-1=17
8 0
3 years ago
There are 5 red marbles, 4 blue marble, 2 green marbles, and 1 yellow marble in the bag. What is the probability of pulling out
kykrilka [37]

Answer:

Red : 5/12

Blue : 1/3

Green: 1/6

Yellow : 1/12

Step-by-step explanation:

5 red marbles + 4 blue marbles + 2 green marbles + 1 yellow marble = 12 total marbles

5 red marbles / 12 total marbles = 5/12

4 blue marbles / 12 total marbles = 4/12 = 1/3

2 green marbles / 12 total marbles = 2/12 = 1/6

1 yellow  marbles / 12 total marbles = 1/12

3 0
3 years ago
Other questions:
  • In a right triangle the length of a hypotenuse is c and the length of one leg is a, and the length of the other leg is b, what i
    13·2 answers
  • What is 251.327 rounded to the nearest whole number.
    10·2 answers
  • Simplify 3 sqrt 5x * 3 sqrt 25x^ 2 completely.​
    14·2 answers
  • Find the missing length. Area=48cm
    11·1 answer
  • Dominic has $35.42 in his bank account. He earns $18 for mowing lawns. He spends $1.89 on Gatorade and then deposits the rest in
    12·2 answers
  • Solve for A, need this done in under a half hour please ;-;
    7·1 answer
  • What is ( 5*5)+(50%*2)=
    7·1 answer
  • Which one is it?<br> will mark brainliest only if correct
    10·1 answer
  • Hey guys please help if I did this question correct if not can you answer it for me I would give you a Brainliest answer if you
    7·1 answer
  • What is the smallest number greater than 1 that leaves a remainder 1 when divided by each of 2, 3, and 4?
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!