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]
3 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]3 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
This recipe makes 18 cupcakes.
Whitepunk [10]

Answer:

Deepak only wants to make 12 cupcakes. Recipe:  8 ounces butter  4 ounces sugar 6 ounces flour 2 eggs

Step-by-step explanation:

6 0
2 years ago
Read 2 more answers
What happens when a rational number is added to an irrational number
Whitepunk [10]

The answer to your question is,

Each time they assume the sum is rational; however, upon rearranging the terms of their equation, they get a contradiction (that an irrational number is equal to a rational number). Since the assumption that the sum of a rational and irrational number is rational leads to a contradiction, the sum must be irrational.

-Mabel <3

6 0
3 years ago
$0.78 less than the normal price Right now it you buy 7 of them it Cookies are on sate! Today each cookie costs will only cost y
Blizzard [7]
Let p = the normal price.
Then 7(p - .75)= 2.80
Divide by 7: p - .75 = .40 and p = 1.15
4 0
3 years ago
Number sentences for these 4?
Murrr4er [49]
A. 15-35=-20
b. -2+7=5
c. -10+14=4
d. 60-100=-40
6 0
3 years ago
Can someone please help me with this.
allsm [11]

Answer:

10

Step-by-step explanation:

Given expression is |8-6 i|.

|8-6 i| is a complex expression.

The value of<em> i </em>is –1.

By definition of absolute value, |a+b i|=\sqrt{a^{2}+b^{2}}

Now, substitute |8-6 i| in the above formula.  

\Rightarrow|8-6 i|=\sqrt{8^{2}+(-6)^{2}}  (since <em>i </em>= –1)

                  =\sqrt{64+36}  (since 8^{2}=64 and                    –6^{2}=36)

                  =\sqrt{100}  (Square root of 100 is 10)

                  = 10

Hence, the value of the expression  |8-6 i| is 10.

3 0
3 years ago
Other questions:
  • If cheese is 4.40 per kilogram, what should I pay for 200 grams
    7·2 answers
  • Jessie and Nathan went out to eat. Their lunch cost $17.98. If they give the waitress a 17% tip, how much was their total cost?
    14·1 answer
  • A country's population in 1991 was 15 million. In 2001 it was 16 million. Estimate the population in 2005 using thr exponential
    15·1 answer
  • Find the product of 20x9x5. Tell which property you used
    8·2 answers
  • 81 is three times a number
    8·2 answers
  • Find the area of a triangle if the base is 8.2m and the height is 4.6m.
    10·2 answers
  • Five million ninety thousand thirty nine​
    9·2 answers
  • A popular magazine tests cars and trucks for mileage on the road and around the city. The magazine reports that the most common
    5·1 answer
  • The nearest hundred to 83,752,245 is?
    7·2 answers
  • If f(x) = -2x + 4, then f^-1(x) =
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!