Todd and Garrett began arguing about who did better on their tests, but they couldn't decide who did better given that they took different tests. Todd took a test in Math and earned a 74.6, and Garrett took a test in English and earned a 68.8. Use the fact that all the students' test grades in the Math class had a mean of 70.6 and a standard deviation of 11.9, and all the students' test grades in English had a mean of 63.7 and a standard deviation of 8.6 to answer the following questions. Required:
a. Calculate the z-score for Todd's test grade.
b. Calculate the z-score for lan's test grade.
c. Which person did relatively better?

Answers

Answer 1
Answer:

Part A

For Todd's class, we have this given info:

  • mu = 70.6 = population mean of math scores
  • sigma = 11.9 = population standard deviation of math scores

Compute the z score for x = 74.6

z = (x-mu)/sigma

z = (74.6 - 70.6)/(11.9)

z = 0.34 approximately

Side note: Convention usually has z scores rounded to two decimal places. If your teacher instructs otherwise, then go with those instructions of course.

Answer:  0.34

======================================================

Part B

For Garret's English class, we have:

  • mu = 63.7
  • sigma = 8.6

Compute the z score for x = 68.8

z = (x-mu)/sigma

z = (68.8 - 63.7)/(8.6)

z = 0.59 approximately

Answer:  0.59

======================================================

Part C

Garret has the higher z score, which means that Garret did relatively better to his classmates compared to Todd's performance (in relation to his classmates). The z score is the distance, in units of standard deviation, the score is from the mean. Positive z values are above the mean, while negative z values are below the mean.

Answer: Garret did relatively better


Related Questions

carla, bev, and ashley took their unit 2 math test. carla made an 80 and bev made a 75. what was ashleys score on the test if their average was 78.
Ten measurements of impact energy on specimens of A238 steel at 60 ºC are as follows: 64.1, 64.7, 64.5, 64.6, 64.5, 64.3, 64.6, 64.8, 64.2, and 64.3 J. a. Use the Student’s t distribution to find a 95% confidence interval for the impact energy of A238 steel at 60 ºC. b. Use the Student’s t distribution to find a 98% confidence interval for the impact energy of A238 steel at 60 ºC.
Simplify by combining like terms- 9a+3-2a
People tend to evaluate the quality of their lives relative to others around them (Frieswijk et al., 2004). In one study, researchers conducted interviews with n = 9 frail elderly people. During the interview, each person was compared with a fictitious person who was worse off than the elderly person. The scores below are the measures from a life-satisfaction scale for the elderly sample. Assume that the average score on this scale in the population is u = 20. Are the data sufficient to conclude that the elderly people in this sample are either significantly more or less satisfied than others in the general population? The life-satisfaction scores for the sample are 18, 23, 24, 22, 19, 27, 23, 26, 25. a. Which kind of t-test should you use? b. How many tails should the test have? Circle a word or phrase in the problem that told you this. c. State the null and alternative hypotheses in statistical notation: d. Determine the critical t using an alpha = .05. Sketch the null distribution, note the location of the critical t, and shade the critical region. e. Calculate the t-statistic and plot it on the sketch you drew above. f. Make a decision (either reject the null or fail to reject it)
There are two boxes of Lego pieces. One box has 200 pieces and the other box has 115 pieces. Which of the following best describes how 4 people will divide the Lego pieces as evenly as possible?three people will get 77 piecesOne person will get 76 piecesThree people will get 78 piecesOne person will get 77 piecesThree people will get 79 piecesOne person will get 78 piecesThree people will get 76 piecesOne person will get 75 pieces

Please help and i will brainliestttt

Answers

Answer:

7/3 cm per hour

Step-by-step explanation:

Answer:  7/3  or in decimal form 2.3   the three is repeating or in mixed number 2 1/3

Step-by-step explanation:

7 divided by 3= 3/3 or in decimal form 2.3 the three is repeating or in mixed number 2 1/3

7 is for how much snow fell and the 3 is from how much time

A 20-foot ladder is leaned against a wall. If the base of the ladder is 8 feet from the wall, how high up on the wall will the ladder reach? Round the answer to the nearest tenth.A. 21.5
B. 18.3
C. 15.7
D. 19.1

I keep getting 18.3 as my answer, but I feel like I'm doing something wrong. Can somebody please explain and show me how to do this correctly? I don't think I'm doing it right :(

Answers

You use Pythagorean theorem to solve it and you get 18.3. Just look at the picture to see how i solved it

There are 200 students in the grade. 45% of the student are taking a music class. How many students are taking music class.Please help me.

Answers

Answer:

Step-by-step explanation:

You need only take 45% of 200

Music = 45/100 * 200

Music = 9000/100

Music = 90

So of a grade of 200, there are 90 who take music.

John ordered five large size pizzas for a party. Five kids each ate 1/10 slice, and twelve adults each at 3/10 slices.a) Find the total number of slices consumed.
41/10
b) Find the leftover pizza if any.

Answers

Answer:

a) 4 1/10 slices eaten

b) cannot be solved because we don't know how many slices in each pizza

Step-by-step explanation:

5*1/10=5/10

12*3/10=36/10

36/10+5/10=41/10

41/10=4 1/10 slices

The following EXCEL tables are obtained when "Score received on an exam (measured in percentage points)" (Y) is regressed on "percentage attendance" (X) for 22 students in a Statistics for Business and Economics course. Regression Statistics Multiple R 0.142620229 R Square 0.02034053 Standard Error 20.25979924 Observations 22 Coefficients Standard Error T Stat P-value Intercept 39.39027309 37.24347659 1.057642216 0.302826622 Attendance 0.340583573 0.52852452 0.644404489 0.526635689 What is the predicted value received on an exam when Percentage Attendance = 70 a. Approximately 63
b. Approximately 2758
c. Approximately 40
d. Approximately 70

Answers

The predicted value received on the exam when the percentage attendance is 70 is ( a. Approximately 63).

To find the predicted value of the exam score when the percentage attendance is 70, to use the regression equation provided:

Y = Intercept + Attendance × X

From the regression statistics that the intercept (Intercept) is 39.39027309 and the coefficient for percentage attendance (Attendance) is 0.340583573.

Substituting the values into the equation:

Predicted value = 39.39027309 + 0.340583573 × 70

Calculating:

Predicted value ≈ 39.39027309 + 23.84485711

Predicted value ≈ 63.2351302

To know more about value here

brainly.com/question/30145972

#SPJ2

Answer:

c

Step-by-step explanation:

hope this helps hœ

Determine which type of correlation is shown in the graphed relationship

Answers

Answer:

No correlation

Step-by-step explanation:

Hey there! :)

This has no correlation because all the points are spread out throughout the graph making no correlation.

Answer:

D no correlation

Step-by-step explanation:

too many scattered dot all over the place if its some going up down its NO CORRELATION!!!