Hydrangea is a flower that changes its color according the the pH of the soil. The flower becomes blue when the pH of the soil is too acidic (pH below 5.5), red when the pH of the soil is too basic (pH above 6.5), and purple when the pH of the soil is exactly between 5.5 to 6.5. A landowner claims that the average pH of their soil can produce perfectly consistent purple fiowers with a standard deviation pH of at most 0.5. A flower cultivator thinks the standard deviation of the pH of the soil may be greater than 0.5, so they tested 15 random sites from the land area. Use a level of significance of a = 0.05. 5.30 5.46 5.95 6.23 6.40 5.33 5.55 5.95 6.36 6.40 5.35 5.90 6.00 6.37 6.50
Hydrangea is a flower that changes its color according the the pH of the soil. The flower becomes blue when the pH of the soil is too acidic (pH below 5.5), red when the pH of the soil is too basic (pH above 6.5), and purple when the pH of the soil is exactly between 5.5 to 6.5. A landowner claims that the average pH of their soil can produce perfectly consistent purple fiowers with a standard deviation pH of at most 0.5. A flower cultivator thinks the standard deviation of the pH of the soil may be greater than 0.5, so they tested 15 random sites from the land area. Use a level of significance of a = 0.05. 5.30 5.46 5.95 6.23 6.40 5.33 5.55 5.95 6.36 6.40 5.35 5.90 6.00 6.37 6.50
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question
Please answer 25 26 27 28 29 30 with solution
Transcribed Image Text:Problem Solving: Caselet 2
Hydrangea is a flower that changes its color according the the pH of the soil. The flower becomes blue when the
pH of the soil is too acidic (pH below 5.5), red when the pH of the soil is too basic (pH above 6.5), and purple when
the pH of the soil is exactly between 5.5 to 6.5. A landowner claims that the average pH of their soil can produce
perfectly consistent purple flowers with a standard deviation pH of at most 0.5.
A flower cultivator thinks the standard deviation of the pH of the soil may be greater than 0.5, so they tested 15
random sites from the land area. Use a level of significance of a = 0.05.
5.30
5.46
5.95
6.23
6.40
5.33
5.55
5.95
6.36
6.40
5.35
5.90
6.00
6.37
6.50
25
This problem is a test on what population parameter? *
Mean
Variance/Standard Deviation
Population Proportion
26
What is the null and alternative hypothesis? *
The standard deviation of the soil's pH IS EQUAL TO 0.5 (Ho: e = 0.5); The standard deviation of the soil's pH
DOES NOT EXCEED 0.5 (Ho: 0 < 0.5)
The standard deviation of the soil's pH IS EQUAL TO 0.5 (Ho: 8 = 0.5); The standard deviation of the soil's pH
EXCEEDS 0.5 (Ho: 8 > 0.5)
The standard deviation of the soil's pH IS EQUAL TO 0.5 (Ho: 8 = 0.5); The standard deviation of the soil's pH
IS NOT EQUAL TO (Ho: 0 + 0.5)
Transcribed Image Text:What are the Significance level and Type of test *
O a = 0.05, Right-tailed
O a = 0.05, left-tailed
O a = 0.05, two-tailed
28
What is the Critical Value *
O 24.9958
O 23.6848
O 6.5706
O 7.2609
29
What is the sample STANDARD DEVIATION *
O o = 0.5673
O o = 0.4391
O o = 0.3365
What is the Standard test statistic? *
O 10.7973
O 11.4658
O 12.4658
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