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
attashe74 [19]
3 years ago
14

A random sample of soil specimens was obtained, and the amount of organic matter (%) in the soil was determined for each specime

n, resulting in the accompanying data. 1.10 5.09 1.20 3.50 0.69 4.47 0.97 1.59 4.60 5.02 4.67 5.22 3.31 1.17 0.76 0.32 0.55 1.45 0.14 4.47 2.69 3.98 3.17 3.03 2.21 1.17 1.57 2.62 1.66 2.05 The values of the sample mean and sample standard deviation are 2.481 and 1.616, respectively. Suppose we know the population distribution is normal, does this data suggest that the true average percentage of organic matter in such soil is something other than 3%? Carry out a test of the appropriate hypotheses at significance level 0.10 using the P-value method.
Mathematics
1 answer:
Shalnov [3]3 years ago
3 0

Answer:

We conclude that the true average percentage of organic matter in such soil is different from 3%.

Step-by-step explanation:

We are given that the values of the sample mean and sample standard deviation are 2.481 and 1.616, respectively.

Suppose we know the population distribution is normal, we have to test the hypothesis that does this data suggest that the true average percentage of organic matter in such soil is something other than 3%.

<em>Let </em>\mu<em> = true average percentage of organic matter in such soil</em>

SO, <u>Null Hypothesis</u>, H_0 : \mu = 3%   {means that the true average percentage of organic matter in such soil is equal to 3%}

<u>Alternate Hypothesis</u>, H_A : \mu \neq 3%   {means that the true average percentage of organic matter in such soil is different than 3%}

The test statistics that will be used here is <u>One-sample t test statistics</u> because we don't know about the population standard deviation;

                           T.S.  = \frac{\bar X -\mu}{{\frac{s}{\sqrt{n} } } }  ~ t_n_-_1

where,  \bar X = sample mean amount of organic matter = 2.481%

              s = sample standard deviation = 1.616%

              n = sample of soil specimens = 30

So, <u><em>test statistics</em></u>  =  \frac{0.02481-0.03}{{\frac{0.01616}{\sqrt{30} } } }  ~ t_2_9

                               =  -1.759

<u></u>

<u>Now, P-value of the test statistics is given by;</u>

       P-value = P( t_2_9 > -1.759) = <u>0.046</u> or 4.6%

  • If the P-value of test statistics is more than the level of significance, then we will not reject our null hypothesis as it will not fall in the rejection region.
  • If the P-value of test statistics is less than the level of significance, then we will reject our null hypothesis as it will fall in the rejection region.

<em>Now, here the P-value is 0.046 which is clearly smaller than the level of significance of 0.05 (for two-tailed test), so we will reject our null hypothesis as it will fall in the rejection region.</em>

Therefore, we conclude that the true average percentage of organic matter in such soil is different from 3%.

You might be interested in
Parking lot has 121 spots. Ratio of senior to junior is 7 to 4. How many spots go to each grade level?
Andrej [43]
I am going to build a chart this is best when using ratios 

              seniors    junior  total
                 7              4       
                 *?             *?     *?
    Totals                          121   

The way we fill out this chart is that we add the rows and multiply the columns. 

So we add 7 + 4 and fill it in our chart we get 11 

            seniors    junior  total
                 7              4       11
                 *?             *?     *?
    Totals                          121   

now to find the *? need to divide 121/11 to get *?

121/11 = 11

so now our chart looks like this 
            seniors    junior  total
                 7              4       11
                 11            11     11
    Totals                          121   

Now we multiply each column 

so
7 * 11  = 77
 4*11 = 44

now our chart look like this 

            seniors    junior  total
                 7              4       11
                 11            11     11
    Totals     77           44      121   

so seniors get 77 spaces 
and juniors get 44 spaces. 

6 0
3 years ago
3. Maxine has assets worth $145,000 and liabilities totaling $75,000. What is Maxine's net worth?
BabaBlast [244]
Answer: C.) $70,000

Explanation:
Assets - Liabilities = Net worth
$145,000 - $75,000 = $70,000
5 0
2 years ago
Read 2 more answers
Can someone help me
vovangra [49]

the answer is 9 because

3x9=27

and 27-18=9

mark brainliest plz

7 0
3 years ago
Read 2 more answers
Please help asap!! Will give brainlist :)
bezimeni [28]
214.2 yd? I’m not 109% percent sure
7 0
3 years ago
Read 2 more answers
Noah drew 26 hearts, 21 stars, and 38 circles. what is the ratio of stars to hearts to circles?
mamaluj [8]

Answer:

21:26:38

Step-by-step explanation:

Ratio in mathematics is the relationship between two or more amounts, showing how many times they can be contained in one another.

Example: 1:2 means there are two times the first amount in the second.

For the case above;

Given;

Number of each shape noah drew;

hearts = 26

Stars = 21

circles = 38

The ratio of stars to hearts to circles

N(stars) : N(hearts) : N(circles)

21:26:38

Since they are not divisible by a common factor the ratio remains;

21:26:38

5 0
3 years ago
Other questions:
  • Which expression is a difference of cubes?
    11·1 answer
  • I need help with this problem
    10·2 answers
  • ...........................................
    15·1 answer
  • Please help I will mark as brainliest
    8·1 answer
  • I'LL GIVE BRAINLIEST: Which measurements could create more than one triangle?
    15·1 answer
  • Volunteers at the food bank package meals to feed family of four. The table shows the weight and serving size of each food. Each
    10·1 answer
  • Find the common difference -7x,-4x,-x,2x
    5·2 answers
  • What is 10% of $10 what is 10% of $10
    12·2 answers
  • Identify the following sequences as linear, exponential, or other. For the linear and exponential, identify the rate of change a
    6·1 answer
  • What is -x/4-2=x+3? negative x over four minus two equals x plus three
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!