MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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Chapter 6, Section 2-HT, Exercise 128 - MathPad

Are Florida Lakes Acidic or Alkaline?

The pH of a liquid is a measure of its acidity or alkalinity. Pure water has a pH of 7, which is neutral. Solutions with a pH less than 7 are acidic while solutions with a pH greater than 7 are basic, or alkaline. The dataset FloridaLakes gives information, including pH values, for a sample of lakes in Florida. Computer output of descriptive statistics for the pH variable is shown:
 
Descriptive Statistics: pH
Variable N N* Mean SE Mean StDev Minimum Q1 Median Q3 Maximum
pH 53 0 6.591 0.177 1.288 3.600 5.800 6.800 7.450 9.100


Click here for the dataset associated with this question.
 
 
 
 

(a) How many lakes are included in the dataset? What is the mean pH value? What is the standard deviation?

Enter the exact answers.

n= Enter your answer in accordance to item (a) of the question statement

x¯= Enter your answer in accordance to item (a) of the question statement

s= Enter your answer in accordance to item (a) of the question statement

 
 

 
 
 
 

(b) Use the descriptive statistics above to conduct a hypothesis test to determine whether there is evidence that average pH in Florida lakes is different from the neutral value of 7.

State the null and alternative hypotheses. Your answer should be an expression composed of symbols: =,≠,<,>,μ,μ1,μ2,p,p1,p2,7,ρ,p^,p^1,p^2,r.

H0: vs Ha:Edit

 

 
 

 
 
 
 

(c) Show all details of the test described in part (b) and use a 5% significance level.

Give the test statistic and the p-value.

Round your answer for the test statistic to two decimal places and your answer for the p-value to three decimal places.

test statistic = Enter your answer in accordance to item (b) of the question statement

p-value = Enter your answer in accordance to item (b) of the question statement

What is the conclusion?

Choose the answer from the menu in accordance to item (b) of the question statement

 
 H0.

If there is evidence that it is not neutral, does the mean appear to be more acidic or more alkaline?

Choose the answer from the menu in accordance to item (b) of the question statement
 

 

 
 

 
 
 
 
(d) Compare the test statistic and p-value you found in part (c) to the computer output below for the same data:

One-Sample T: pH
Test of mu =7 vs not =7
Variable N Mean StDev SE Mean 95% CI T P
pH 53 6.591 1.288 0.177 (6.235,6.946) -2.31 0.025


 

 

The same up to round off error

 

Different
 


 
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