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
Sergio039 [100]
3 years ago
8

One of your peers claims that boys do better in math classes than girls. Together you run two independent simple random samples

and calculate the given summary statistics of the boys and the girls for comparable math classes. In Calculus, 15 boys had a mean percentage of 82.3 with standard deviation of 5.6 while 12 girls had a mean percentage of 81.2 with standard deviation of 6.7. What assumptions need to be made in order to determine the 90% confidence interval for the difference in the mean percentage scores for the boys in calculus and the girls in calculus? Supposing the assumption is true, calculate the interval.
Mathematics
1 answer:
JulijaS [17]3 years ago
3 0

Answer:

Step-by-step explanation:

Hello!

To test if boys are better in math classes than girls two random samples were taken:

Sample 1

X₁: score of a boy in calculus

n₁= 15

X[bar]₁= 82.3%

S₁= 5.6%

Sample 2

X₂: Score in the calculus of a girl

n₂= 12

X[bar]₂= 81.2%

S₂= 6.7%

To estimate per CI the difference between the mean percentage that boys obtained in calculus and the mean percentage that girls obtained in calculus, you need that both variables of interest come from normal populations.

To be able to use a pooled variance t-test you have to also assume that the population variances, although unknown, are equal.

Then you can calculate the interval as:

[(X[bar]_1-X[bar_2) ± t_{n_1+n_2-2;1-\alpha /2} * Sa*\sqrt{\frac{1}{n_1} +\frac{1}{n_2} }]

Sa= \sqrt{\frac{(n_1-1)S^2_1+(n_2-1)S^2_2}{n_1+n_2-2} } = \sqrt{\frac{14*(5.6^2)+11*(6.7^2)}{15+12-2} }= 6.108= 6.11

t_{n_1+n_2-2;1-\alpha /2}= t_{15+12-2;1-0.05}= t_{25;0.95}= 1.708

[(82.3-81.2) ± 1.708* (6.11*\sqrt{\frac{1}{15}+\frac{1}{12}  }]

[-2.94; 5.14]

Using a 90% confidence level you'd expect the interval [-2.94; 5.14] to contain the true value of the difference between the average percentage obtained in calculus by boys and the average percentage obtained in calculus by girls.

I hope this helps!

You might be interested in
What are the answers to these 4 questions
miv72 [106K]

Answer:

These are easy you should know

Step-by-step explanation:

But it looks like you got the answers already God Bless

7 0
2 years ago
If licorice cost $6.59 a pound how much would it cost to buy a quarter pound of licorice
schepotkina [342]

licorice cost $6.59 a pound

how much would it cost to buy a quarter pound of licorice

$6.59 / 4 = 1.6475

a quarter pound of licorice

$1.65

8 0
3 years ago
Read 2 more answers
. Solve for the missing value.
choli [55]

Answer:

1. f= 9

2. y= 10

3. h= 2.5

4. q= 10

5. m= 6

Step-by-step explanation:

1. you divide both sides by 3 to get f by itself

2. you divide both sides with 6

3. you subtract because it is the opposite of addition. you could also write 5/2 but that’s not simplified enough

4. 10 x 4 = 40 so 10 is the answer

5. you subtract both sides by 6 and get 24. 24 divided by 4 equals 6

4 0
2 years ago
Read 2 more answers
Which 2 options are correct?
Tema [17]

Answer:

A,C

Step-by-step explanation:

i took the test

5 0
2 years ago
how do i find the volume of a triangular prism that has a 10m width a 4m base and a 8m hight don't worry about the T
Alecsey [184]
The volume of a triangular prism is equal to :
area of the base x height

the area of the base :
10 \times 4 \div 2 = 40 \div 2 = 20

so the volume is
20 \times 8 = 160

the answer is 160m^3




good luck
3 0
3 years ago
Other questions:
  • Jolon used the slope-intercept form to write the equation of a line with slope 3 that passes through the point (5, –2). His work
    10·2 answers
  • A certain pet store has only cats and dogs. The ratio of the number of cats to the
    10·2 answers
  • 0.4(3k – 0.6)<br> plz help
    5·1 answer
  • Mr. Ramirez class is playing a game in which students in a batch sticky notes that have an equivalent expression how can you sor
    12·1 answer
  • Alex is making puppets for a show. He bought string for$125. It costs $18 for the remaining materials needed to make each puppet
    9·1 answer
  • Please help with with number 3,4 and e-g please and also explain how you got the answer
    14·1 answer
  • Hi! i REALLY need help with this IXL in math and im only at 36 points bc i keep getting things wrong.. can someone PLEASE help m
    9·1 answer
  • If a, b, c are in A.P. show that<br>a (b + c)/bc,b(c + a) /ca, c(a-b )/bc<br>are in A.P.<br>​
    8·1 answer
  • Which solution for the value of x in the figure below is incorrect? explain
    7·1 answer
  • The probabilities of a positive response to two government programs from citizens in eight cities are given in the table. What i
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!