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
elena-s [515]
2 years ago
15

A recent study focused on the number of times men and women send a Twitter message in a day. The information is summarized below

.
Men Sample size-25 Sample mean-20 Population standard deviation-5
Women Sample size-30 Sample mean-30 Population standard deviation-10
At the .01 significance level, is there a difference in the mean number of times men and women send a Twitter message in a day? What is the value of the test statistic for this hypothesis test?
1. 2.668
2. 2.672
3. 2.58
4. 2.40
Mathematics
1 answer:
jok3333 [9.3K]2 years ago
7 0

Answer:

The value of the test statistic = 2.58

Test statistic Z = - 4.805

|Z| = 4.805 > 2.58

Null hypothesis is rejected The value of the test statistic = 2.58

There is  significant difference between in the mean number of times men and women send a Twitter message in a day

Step-by-step explanation:

Step(i):-

Sample size of men  n₁ = 25

mean of the first sample x₁⁻ = 20

Standard deviation of the first sample σ₁ = 5

Sample size of women n₂ = 30

mean of the second sample x₂⁻ = 30

Standard deviation of the first sample σ₂ = 10

Level of significance ∝= 0.01

<u>Step(ii)</u>:-

Null Hypothesis : H₀: There is no significant difference between in the mean number of times men and women send a Twitter message in a day

Alternative Hypothesis :H₁:There is  significant difference between in the mean number of times men and women send a Twitter message in a day

Test statistic

Z = \frac{x^{-} _{1} - x^{-} _{2} }{\sqrt{\frac{S.D_{1} ^{2} }{n_{1} }+\frac{ S.D_{2} ^{2}}{n_{2} }  } }

Z = \frac{20 - 30 }{\sqrt{\frac{(5)^{2}  }{25 }+\frac{ (10)^{2}  }{ 30}  } }

Z =  \frac{-10}{2.081} = - 4.805

The value of the test statistic = 2.58 C

|Z| = 4.805 > 2.58

Null hypothesis is rejected The value of the test statistic = 2.58

<u>Conclusion:</u>-

There is  significant difference between in the mean number of times men and women send a Twitter message in a day

You might be interested in
Factor: 9t^2-16u^2 ?
liq [111]

Answer:

Step-by-step explanation:

9t²-16u² = 3²t²-4²u² = (3t)²-(4u)² = (3t+4u)(3t-4u)

8 0
3 years ago
(your answer should be written as the sum and/or difference of the fractions, including the values of a, b, and
Sergio [31]
F(n)=f(n+1)=f(n+1)-5 because in the formula you are subtractinng
4 0
3 years ago
Will bought 3 college textbooks. One cost $32, one cost $45, and one cost $39. What is the average price of his books? Choose th
valkas [14]
The statement that correctly calculates the average price of Will's books is 

B. ($32 + $45 + $39) ÷ 3

This is because the average or mean, is found by adding all of the numbers together and then dividing the sum by the amount of numbers you added together (in this case 3.)
7 0
3 years ago
Read 2 more answers
Is 2|12 true or false
Mademuasel [1]

Answer:

true

Step-by-step explanation:

Because it is

6 0
2 years ago
Solve this equation. Enter your answer in the box.<br><br> –24 + 12d = 2(d – 3) + 22
Drupady [299]

Answer: The answer should be 4. So it should be written as d = 4. You answer this equation by removing the parentheses, calculating, moving the terms, collect the like terms and calculate some more, then finally divide both sides. Hope this helps!

8 0
2 years ago
Other questions:
  • What is equivalent to 4 square root 5
    15·2 answers
  • The label on the car's antifreeze container claims to protect the car between −30°C and 130°C. To covert Celsius temperature to
    11·1 answer
  • Help!!!!!! red car travels 17 2/5 miles useing 0.75 of gas. please answer today
    15·1 answer
  • A paper company ships one 110.4 tons of paper in four trucks if Eachtruck carries the same weight how many tons of
    8·2 answers
  • What is 3/9 in its lowest terms?
    12·2 answers
  • Which could be the length of Side KL?
    10·2 answers
  • PLEASE I WILL GIVE BRAINLIEST AND I WIL REPORT ANSWERS THAT HAVE NOTHING RI DO WITH MATH THANKS ​
    9·1 answer
  • 20 POINTS PLEASE HELP ASAP!!!
    5·1 answer
  • Hardest one yet..<br> complete all of these<br> i mean all of em
    13·1 answer
  • Divide and find quotient<br>(a⁴-b⁴) ÷ (a+b)<br>(step by step explanation)​
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!