![abbygriffin8575](/avatars/44100.jpg)
abbygriffin8575
07.07.2020 •
Mathematics
A random sample of soil specimens was obtained, and the amount of organic matter (%) in the soil was determined for each specimen, resulting in the accompanying data (from "Engineering Properties of Soil," Soil Science, 1998: 93–102).1.10 5.09 0.97 1.59 4.60 0.32 0.55 1.450.14 4.47 1.20 3.50 5.02 4.67 5.22 2.693.98 3.17 3.03 2.21 0.69 4.47 3.31 1.170.76 1.17 1.57 2.62 1.66 2.05The values of the sample mean, sample standard deviation,and (estimated) standard error of the mean are2.481, 1.616, and .295, respectively. Does this data suggestthat the true average percentage of organic matterin such soil is something other than 3%? Carry out atest of the appropriate hypotheses at significance level.10. Would your conclusion be different if a 5 .05 hadbeen used? [Note: A normal probability plot of the datashows an acceptable pattern in light of the reasonablylarge sample size.]
Solved
Show answers
More tips
- A Animals and plants Want a Perfect Lawn? Learn How to Plant Grass the Right Way...
- A Animals and plants How to Properly Care for a Pet Decorative Rabbit at Home?...
- C Computers and Internet How to Check the Speed of My Internet?...
- H Health and Medicine 10 Ways to Cleanse Your Colon and Improve Your Health...
- W Work and Career How to Write a Resume That Catches the Employer s Attention?...
- C Computers and Internet Е-head: How it Simplifies Life for Users?...
- F Family and Home How to Choose the Best Diapers for Your Baby?...
- F Family and Home Parquet or laminate, which is better?...
- L Leisure and Entertainment How to Properly Wind Fishing Line onto a Reel?...
- L Leisure and Entertainment How to Make a Paper Boat in Simple Steps...
Answers on questions: Mathematics
- M Mathematics Help pls- Find the indicated term for the geometric sequence below. (look at picture for question)...
- M Mathematics Free pionts orchidsandhoney on ig...
- M Mathematics What is the geometric mean of 12 and 9? Your answer should be a reduced radical, NOT A DECIMAL....
- M Mathematics One quarter of the top of a round wedding cake is covered in yellow roses. The top of the wedding cake has a diameter of 12 inches. Each yellow rose covers an area of...
- M Mathematics 6 x 5 x 2.5 = pls help...
- M Mathematics Cosec2A + Cosec4A = cotA -Cot4A ...
- M Mathematics Help me i am dying please help...
- M Mathematics URGENT WILL GIVE BRAINLIEST...
- M Mathematics What is 1x13x13x10x123 converted into hours...
- M Mathematics Using the horizontal line test, which of the following can be concluded about the inverse of the graph of the function below? 5 O A. It is not a function. B. It is a vertical...
Ответ:
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
= true average percentage of organic matter
So, Null Hypothesis,
:
= 3% {means that the true average percentage of organic matter in such soil is 3%}
Alternate Hypothesis,
:
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 One-sample t-test statistics because we don't know about the population standard deviation;
T.S. =
~ ![t_n_-_1](/tpl/images/0702/2615/5cbec.png)
where,
= sample mean percentage of organic matter = 2.481%
s = sample standard deviation = 1.616%
n = sample of soil specimens = 30
So, the test statistics =
~ ![t_2_9](/tpl/images/0702/2615/82eaa.png)
= -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 sufficient evidence to reject our null hypothesis 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 insufficient evidence to reject our null hypothesis 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.
Ответ:
12 * 3x
Step-by-step explanation:
x is equal to the minutes