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
erica [24]
2 years ago
11

The average household income for a recent year was $30,000. five years earlier the average household income was $24,500. assume

sample sizes of 34 were used and the population standard deviation of both samples were $5928. at 5% level of significance is there enough evidence to believe that the average household income has increased?
Mathematics
1 answer:
ikadub [295]2 years ago
3 0

Using hypothesis test, we conclude that there is evidence to believe that the average household income has increased.

According to the question,

The average household income for a recent year (x₁⁻) = $30,000

The average household income for a recent year (x₂⁻) = $24,500

sample sizes n₁ = n₂ = 34

standard deviation of both samples were $24,500. Thus, s₁ = s₂ = $5928.

Null hypothesis:  There is no evidence to believe that the average household income has increased.

H₀ : μ₁ ≤ μ₂

Alternative hypothesis:  There is evidence to believe that the average household income has increased.

H₁: μ₁ > μ₂  

To check hypothesis we have the formula

Standard error=  \sqrt{\frac{s_{1} ^{2} }{n_{1} } + \frac{s^{2} _{2} }{n_{2} }  }

= \sqrt{2067128.4706}

= 1437.7512

Thus, standard error is $1437.7512.

Formula for test statistic = [(x₁⁻ -  x₂⁻) - (μ₁ - μ₂)]/standard error

= [(30000 -  24500) - 0]/1437.7512

= 3.8254

The critical value of z at 5% level of significance is 1.6449.

Here, the calculated value is greater than the critical value so we reject H₀.

Hence using hypothesis test, we conclude that there is evidence to believe that the average household income has increased.

Learn more about hypothesis test here

brainly.com/question/15060525

#SPJ2

You might be interested in
If c is a number with no exponent, what is the value of c in the equation below?
Aleksandr [31]

Answer:

I cant help because its rly blurry but I think the answer is 120¿

4 0
2 years ago
Read 2 more answers
5. Shane has a winning lottery ticket. He gives
kupik [55]

Answer:

£33,000

Step-by-step explanation:

The money he gives to his daughter is represented by the 3 in the ratio so you divide £9000 by 3 to get £3000

The money he invests is represented by 11 in the ratio so you multiply £3000 by 11 to get £33,000

Hope this helps! :)

7 0
3 years ago
The sum of two numbers is 20 and their difference is 12.
Leno4ka [110]

Answer:

16 and 4

Step-by-step explanation:

x + y= 20

x -y =12

(add both equal #'s)

2x =32

x = 16

y=4

♡

3 0
3 years ago
Read 2 more answers
find the sum of the interior angles of the following polygons.1)Pentagon. 2)hexagon. 3)heptagon. 4)octagon.​
sergejj [24]

Answer:

Sum of interior angles of polygon = (n-2)*180

1) Pentagon:

  • (5-2)*180= 540

2)Hexagon:

  • (6-2)*180= 720

3) Heptagon:

  • (7-2)*180= 900

4) Octagon:

  • (8-2)*180= 1080
3 0
3 years ago
What is the value of -9 + (-4 + 7) (2)?
RUDIKE [14]

Answer:

try -3

Step-by-step explanation:

5 0
2 years ago
Read 2 more answers
Other questions:
  • free 100 points A car drives a route that measures 2.75 miles. What does the route measure in feet? A.11,880 ft B.13,200 ft C.14
    5·2 answers
  • A granola bite contains 27 calories. Most of the calories come from c grams of carbohydrates. The rest come from other ingredien
    14·1 answer
  • What is this answer
    9·1 answer
  • Canada has a population that is about 1/10 as large as the United States. If Canada's population is about 32 million, about how
    12·1 answer
  • For the investment with interest compounded annually, find the final balance using the formula A = P(1 + r)t $36,000 for 4.5 yea
    13·1 answer
  • 7+9+6+9+9+7+9+4+2+8+7+9+10
    14·2 answers
  • Claire deposited $500 into a savings account that earns 2.5% annual simple interest. If she keeps this amount in the account for
    9·1 answer
  • Please help me and btw can you tell me step by step like. <- ————>
    10·1 answer
  • The sum of two numbers is 201 and their difference is 69. Find the<br> numbers.
    10·2 answers
  • HELP!! Please answer 9 and ten with solution needed!!
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!