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umka2103 [35]
3 years ago
12

Is 90 one tenth of hundred

Mathematics
1 answer:
ss7ja [257]3 years ago
6 0
Yes 90 is 1/10 of hundred
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A random sample of soil specimens was obtained, and the amount of organic matter (%) in the soil was determined for each specime
MrRissso [65]

Answer:

We conclude that the true average percentage of organic matter in such soil is something other than 3% at 10% significance level.

We conclude that the true average percentage of organic matter in such soil is 3% at 5% significance level.

Step-by-step explanation:

We are given a random sample of soil specimens was obtained, and the amount of organic matter (%) in the soil was determined for each specimen;

1.10, 5.09, 0.97, 1.59, 4.60, 0.32, 0.55, 1.45, 0.14, 4.47, 1.20, 3.50, 5.02, 4.67, 5.22, 2.69, 3.98, 3.17, 3.03, 2.21, 0.69, 4.47, 3.31, 1.17, 0.76, 1.17, 1.57, 2.62, 1.66, 2.05.

Let \mu = <u><em>true average percentage of organic matter</em></u>

So, Null Hypothesis, H_0 : \mu = 3%      {means that the true average percentage of organic matter in such soil is 3%}

Alternate Hypothesis, H_A : \mu \neq 3%      {means that the true average percentage of organic matter in such soil is something other 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 percentage of organic matter = 2.481%

             s = sample standard deviation = 1.616%

            n = sample of soil specimens = 30

So, <u><em>the test statistics</em></u> =  \frac{2.481-3}{\frac{1.616}{\sqrt{30} } }  ~ t_2_9

                                     =  -1.76

The value of t-test statistics is -1.76.

(a) Now, at 10% level of significance the t table gives a critical value of -1.699 and 1.699 at 29 degrees of freedom for the two-tailed test.

Since the value of our test statistics doesn't lie within the range of critical values of t, so we have <u><em>sufficient evidence to reject our null hypothesis</em></u> as it will fall in the rejection region.

Therefore, we conclude that the true average percentage of organic matter in such soil is something other than 3% at 10% significance level.

(b) Now, at 5% level of significance the t table gives a critical value of -2.045 and 2.045 at 29 degrees of freedom for the two-tailed test.

Since the value of our test statistics lies within the range of critical values of t, so we have <u><em>insufficient evidence to reject our null hypothesis</em></u> as it will not fall in the rejection region.

Therefore, we conclude that the true average percentage of organic matter in such soil is 3% at 5% significance level.

8 0
3 years ago
The coordinates of points A and L are -4 and 12, respectively. What is the coordinate of the midpoint between them?
Nostrana [21]
I'm not Totally sure but I'm pretty sure its B<span />
3 0
3 years ago
James has a board that is 3/4 foot long. He wants to cut the board into pieces that are each 1/8 foot long
mina [271]
Answer=6 pieces

First lets convert 3/4 to ?/8...

\frac{3}{4}= \frac{6}{8}

3/4 is equivalent to 6/8. 

Now we can divide 6/8 by 1/8

\frac{6}{8}/ \frac{1}{8}=6


Answer=6 pieces
4 0
3 years ago
Read 2 more answers
Solve for x<br> type your answer as x = (#)<br> ASAP
Nataliya [291]

Answer:

One step Equations:

1. x=4

2. x=18

3. x=3

4. ×=50

Two Step Equations:

1. x= 7

2. x= -4

3. x= 24

Variations on Both Sides:

(I'm not sure if these are right but the answers above are for sure correct)

1. x= 4.5

2. x= -2

3 0
3 years ago
Read 2 more answers
Take a deck of playing cards form following sets out of those
swat32

The information given about the probability shows that the cardinality of D is 18.

<h3>How to calculate the probability?</h3>

From the complete information, the number of red-colored cards is 26.

Also, the number of red-colored number cards will be 18.

The cardinality of a set is a measure of a set's size, meaning the number of elements in the set.

Here, the cardinality of set D is 18.

Here is the complete question:

Take a deck of playing cards. Form following sets out of those:

A = Set of Face Cards

B = Set of Red Coloured Face cards

C = Set of Black Coloured Face Cards

D = Set of Red Coloured Number Cards

Find the Cardinality of set D

Learn more about probability on:

brainly.com/question/24756209

#SPJ1

7 0
2 years ago
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