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
Vlad1618 [11]
3 years ago
14

Think about a population mean that you may be interested in and propose a hypothesis test problem for this parameter. Gather app

ropriate data and post your problem, Later, respond to your own post with your own solution. For example, you may believe that the population mean number of times that adults go out for dinner each week is less than 1.5. Your data could be that you spoke with 7 people and found that they went out 2, 0, 1, 5, 0, 2, and 3 times last week. You then would choose to test this hypothesis at the .05 (or another) significance level. Assume a random sample.
Required:
Test this hypothesis at the 0.05 significance level.
Mathematics
1 answer:
Sunny_sXe [5.5K]3 years ago
7 0

Answer:

There is no sufficient evidence to conclude that population mean number of times that adults go out for dinner each week is less than 1.5

Step-by-step explanation:

From the question we are told that

   The  population mean is  less than  1.5

   The sample size is  n  =  7

   The sample data is   2, 0, 1, 5, 0, 2, and 3

Generally the sample mean is mathematically represented as  

     \=  x =  \frac{ \sum x_i }{ n }

=>  \=  x =  \frac{ 2 +  0 +  1 +  5 +  0 +  2 +   3 }{ 7 }

=>  \=  x =  1.857

Generally the standard deviation is mathematically represented as

      \sigma  =  \sqrt{\frac{\sum (x_i - \= x)^2}{n} }

=>   \sigma  =  \sqrt{\frac{ (2 -   1.857)^2 +  (0 -   1.857)^2 +\cdots  (3 -   1.857)^2}{7} }

=>   \sigma  =  1.773

The null hypothesis is  H_o :  \mu  =  1.5

The alternative hypothesis is H_a  :  \mu  < 1.5

Generally the test statistics is mathematically represented as

     z  =  \frac{\= x  -  \mu }{ \frac{\sigma }{\sqrt{n} } }

=>   z  =  \frac{\= x  - 1.857 }{ \frac{1.773 }{\sqrt{7} } }  

=>z =  0.53

Generally the p-value is mathematically represented as

      p-value  =  P(z  < 0.53 )

From the z-table  

        P(z  <  0.53 ) =  0.70194

So

       p-value  =  0.70194

From the values obtained we see that p-value  >  0.05  

Here there is no sufficient evidence to conclude that population mean number of times that adults go out for dinner each week is less than 1.5

You might be interested in
One eight of Tony's books are mystery books. He has 3 mystery books. How many books does tony have in all?
Leviafan [203]
Tony has 24 books in total because if 1/8 of the books are mystery and there are 8 mystery books you have to multiple the denominator by the amount of mystery books (8*3=24). 
8 0
3 years ago
What is the value of x
Kruka [31]

Answer:


Step-by-step explanation:

I knew the answer sir 112 but hmmm I'm only 7 g


3 0
3 years ago
Check out the attachment and help me out please!!!
Aleks [24]

Answer:

20

Step-by-step explanation:

4 + 2 + 5 + 4 + 0 + 1 + 1 + 3 = 20

5 0
3 years ago
Okay, so I'm a little bit upset at the moment. This morning I decided to make a brainly plus account with the yearly subscriptio
Nostrana [21]

Step-by-step explanation:

Wow that's sad sir..

Hope it gets better ;-;

8 0
3 years ago
Identify the transformation in which every point of a figure is moved to the same distance in the same direction.
Nastasia [14]

Answer:

reflection

Step-by-step explanation:

think of it as looking in a mirror

4 0
2 years ago
Other questions:
  • Help#2 and if u can see #1 too
    10·2 answers
  • 1-) Emily and her friends went to the park. They saw 15 robins and 9 blue jays. How many birds did they see.? 24 birds.
    10·2 answers
  • Given a polynomial function f(x), describe the effects on the y-intercept, regions where the graph is increasing and decreasing,
    6·2 answers
  • How to find the measure of angle. If the measure is be and the angle is 60dgree
    5·2 answers
  • Find the slope between (1,5)(3,9)
    6·1 answer
  • Can someone teach me how to do this type of thing?​
    13·2 answers
  • HURRY HELP PLS‼️‼️‼️
    7·1 answer
  • CAN SOMEONE PLEASE HELP ME WITH MY HOMEWORK.
    8·1 answer
  • Exam: 05.03 Exponential and Logarithmic Functions Mid-Module Check<br><br><br> Solve 4x = 8x − 1
    8·2 answers
  • Part B: In complete sentences, explain how a circle can be used to find the circumcenter of the triangle graphed below.
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!