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
stepladder [879]
3 years ago
13

A math instructor claims that college women have more credit card debt than college men. She conducts a random sample of 38 coll

ege men and 32 college women, determines their average credit card debt, and obtains the following statistics:
women n1 =32 x1= 781 s1 = 1489 men n2 = 38 x2 = 435 s2 = 1026
Test the claim that college women have more credit card debt than college men at the a = .05 level of significance. Assume unequal variances.
Mathematics
1 answer:
kogti [31]3 years ago
8 0

Answer:

There is no significant evidence to support the claim that college women have more credit card debt than college men

Step-by-step explanation:

Given :

women n1 =32 x1= 781 s1 = 1489 men n2 = 38 x2 = 435 s2 = 1026

H0 : μ1 = μ2

H0 : μ1 > μ2

Assume unequal variance :

The test statistic :

(x1 - x2) / √(s1²/n1) + (s2²/n2)

T= (781 - 435) / √(1489²/32) + (1026²/38)

T = 346 / 311.42740

Test statistic = 1.111

Degree of freedom, df

(s1²/n1+s2²/n2)²÷1/(n1-1)*(s1²/n1)²+1/(n2-1)*(s2²/n2)²

The Pvalue :

(s1²/n1+s2²/n2)² = ((1489²/32) + (1026²/38))² = 9406484230.6884765625

1/(n1-1)*(s1²/n1)²+1/(n2-1)*(s2²/n2)²:

1/31(1489^2/32)^2 + 1/37(1026^2/38)^2 = 1.755926E8

df = 9406484230.6884765625 / 1.755926E8 = 53.569

df = 54

The Pvalue, from t score ;

Pvalue(1.111, 54) = 0.136

Pvalue > α ; Hence, we fail to reject the null ; There is no significant evidence to support the claim that college women have more credit card debt than college men

You might be interested in
Two urns both contain green balls and red balls. Urn I contains 6 green balls and 4 red balls and Urn II contains 8 green balls
34kurt

Presumably, whatever is drawn from Urn I is independent of what is drawn from Urn II. This means

P(\text{red from Urn 1 AND red from Urn 2})=P(\text{red from Urn 1})\cdot P(\text{red from Urn 2})

We have

P(\text{red from Urn 1})=\dfrac4{10}=\dfrac25

P(\text{red from Urn 1})=\dfrac7{15}

so the probability of drawing red balls from both urns is \dfrac25\cdot\dfrac7{15}=\dfrac{14}{75}

3 0
3 years ago
Please helpppp:(((( thank you
densk [106]

Answer:

C

Step-by-step explanation:

4 0
2 years ago
Read 2 more answers
Solve: |2x + 3| -1 < 4
dybincka [34]
|2x+3|-1<4
|2x+3|<5

1) when 2x +3 is positive     
2x+3<5
2x<2
x<1    (-∞, 1)

2) when 2x+3 is negative
-(2x+3)<5
-2x-3<5
-2x<8
x>-4  (-4, ∞)

(-∞, 1)∩(-4, ∞)=(-4,1)



7 0
3 years ago
Read 2 more answers
Acar traveled 50 miles in 40 minutes. Assume that the car will continue at this constant
zalisa [80]

Answer:

Would 50 divided by 40 work?

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
According to the table below, what is the probability that a student chosen at random will be 16 or older?
galben [10]

Answer:

probability: 0.44

8 0
2 years ago
Read 2 more answers
Other questions:
  • 4(3x + 10) = 40 determine if its true explain please
    15·1 answer
  • Josephina is four years younger than Cameron and the sum of their ages is 88. write an equation and solve it to figure out their
    10·2 answers
  • Which of the following is not an ordered pair from the function f(x) = 5x-6
    15·2 answers
  • 20 x 10 3 but the 3 is small please i need this ...
    8·2 answers
  • Help... ;( ASAP PLZZZZZZZ
    13·2 answers
  • What are the zeros of (3x−2)(x+4)
    11·1 answer
  • The area of a square is s2​, where s is the side length. Suppose you have three squares. One square has side length 9 feet. Anot
    13·1 answer
  • Find the value 5+4•(2+7)
    13·1 answer
  • Which equation is represented by the graph below
    5·1 answer
  • Please answer correctly !!!!! Will mark Brianliest !!!!!!!!!!!!!!
    10·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!