(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
(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
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
Definition Definition Middle value of a data set. The median divides a data set into two halves, and it also called the 50th percentile. The median is much less affected by outliers and skewed data than the mean. If the number of elements in a dataset is odd, then the middlemost element of the data arranged in ascending or descending order is the median. If the number of elements in the dataset is even, the average of the two central elements of the arranged data is the median of the set. For example, if a dataset has five items—12, 13, 21, 27, 31—the median is the third item in ascending order, or 21. If a dataset has six items—12, 13, 21, 27, 31, 33—the median is the average of the third (21) and fourth (27) items. It is calculated as follows: (21 + 27) / 2 = 24.
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