Students in an introductory statistics class tested the impact of different types of water solutions on the longevity of cut flowers. They purchased 18 white carnations and randomly assigned each flower to one of the three treatments (plain water, one aspirin crushed and added to the water, and a floral compound provided by the flower shop). Then they measured how many days it took until the flower wilted. Since it is impossible to select a true random sample from all carnations sold on a particular date, the students purchased six white carnations from three different randomly selected stores in their city (for a total of 18 carnations). While not perfect, this is very practical approach to accounting for population variability of white carnations. The data are given below. You are encouraged to create side-by-side boxplots of these data in Excel to see the effect of water solutions type. Test whether there is an effect from the type of water solution on the longevity of cut flowers at 10% level of significance. Click this button to reveal the data Water Days Aspirin 2.5 Aspirin 4.5 Aspirin 3.25 Aspirin 4 Aspirin Aspirin Floral Floral Floral Floral Floral Floral Plain Plain Plain Plain Plain Plain 4.25 5.5 4.75 4.25 5.5 4.75 4 4.75 4.25 5 6.25 5.75 5.75 5 Download CSV file

MATLAB: An Introduction with Applications
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ISBN:9781119256830
Author:Amos Gilat
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Students in an introductory statistics class tested the impact of different types of water solutions on the
longevity of cut flowers. They purchased 18 white carnations and randomly assigned each flower to one of the
three treatments (plain water, one aspirin crushed and added to the water, and a floral compound provided
by the flower shop). Then they measured how many days it took until the flower wilted.
Since it is impossible to select a true random sample from all carnations sold on a particular date, the
students purchased six white carnations from three different randomly selected stores in their city (for a total
of 18 carnations). While not perfect, this is very practical approach to accounting for population variability of
white carnations.
The data are given below. You are encouraged to create side-by-side boxplots of these data in Excel to see
the effect of water solutions type.
Test whether there is an effect from the type of water solution on the longevity of cut flowers at 10% level of
significance.
Click this button to reveal the data
Days
Water
Aspirin 2.5
Aspirin 4.5
Aspirin 3.25
Aspirin
4
Aspirin 4.25
Aspirin
5.5
Floral
4.75
Floral 4.25
Floral 5.5
Floral
4.75
Floral
4
Floral
4.75
Plain
4.25
Plain
5
Plain
6.25
Plain
5.75
Plain
5.75
Plain
5
Download CSV file
Download the .csv file or copy/paste the data into Excel. After downloading .csv file, you may want to saye
it as a l
Transcribed Image Text:Students in an introductory statistics class tested the impact of different types of water solutions on the longevity of cut flowers. They purchased 18 white carnations and randomly assigned each flower to one of the three treatments (plain water, one aspirin crushed and added to the water, and a floral compound provided by the flower shop). Then they measured how many days it took until the flower wilted. Since it is impossible to select a true random sample from all carnations sold on a particular date, the students purchased six white carnations from three different randomly selected stores in their city (for a total of 18 carnations). While not perfect, this is very practical approach to accounting for population variability of white carnations. The data are given below. You are encouraged to create side-by-side boxplots of these data in Excel to see the effect of water solutions type. Test whether there is an effect from the type of water solution on the longevity of cut flowers at 10% level of significance. Click this button to reveal the data Days Water Aspirin 2.5 Aspirin 4.5 Aspirin 3.25 Aspirin 4 Aspirin 4.25 Aspirin 5.5 Floral 4.75 Floral 4.25 Floral 5.5 Floral 4.75 Floral 4 Floral 4.75 Plain 4.25 Plain 5 Plain 6.25 Plain 5.75 Plain 5.75 Plain 5 Download CSV file Download the .csv file or copy/paste the data into Excel. After downloading .csv file, you may want to saye it as a l
d. What test is used for this problem? Kruskal-Wallis Test
e. Are the assumptions met for the selected test for this study?
No, sample size is not 5 or more
Yes, samples are random and independent, and each sample size is 5 or more
No, samples are not independent and random
Perform the test and answer the following questions:
f. Report the test statistic.
g. p-value
B
(Give answer to 4 decimal places)
(Give answer to 4 decimal places)
At a 10% level of significance, fill in the blanks for the following statements.
h. The p-value is Select an answer the significance level.
i. The null hypothesis is
j. It is Select an answer
flowers.
Select an answer
that there is no effect from the type of water solution on the longevity of
k. This p-value suggests that the observed samples Select an answer
no effect from the type of water solution on the longevity of flowers.
l. There is Select an answer evidence that the type of water solution impacts the longevity of flowers.
if there was
Transcribed Image Text:d. What test is used for this problem? Kruskal-Wallis Test e. Are the assumptions met for the selected test for this study? No, sample size is not 5 or more Yes, samples are random and independent, and each sample size is 5 or more No, samples are not independent and random Perform the test and answer the following questions: f. Report the test statistic. g. p-value B (Give answer to 4 decimal places) (Give answer to 4 decimal places) At a 10% level of significance, fill in the blanks for the following statements. h. The p-value is Select an answer the significance level. i. The null hypothesis is j. It is Select an answer flowers. Select an answer that there is no effect from the type of water solution on the longevity of k. This p-value suggests that the observed samples Select an answer no effect from the type of water solution on the longevity of flowers. l. There is Select an answer evidence that the type of water solution impacts the longevity of flowers. if there was
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