
In a completely randomized experimental design, three brands of paper towels were tested for their ability to absorb water. Equal-size towels were used, with four sections of towels tested per brand. The absorbency rating data follow. At a .05 level of significance, does there appear to be a difference in the ability of the brands to absorb water?
Brand | ||
x | y | z |
91 | 99 | 83 |
100 | 96 | 88 |
88 | 94 | 89 |
89 | 99 | 76 |

Check whether there is a significant difference among the mean absorbency ratings for the three brands at
Answer to Problem 34SE
Yes, there appear to be a difference in the ability of the brands to absorb water.
Explanation of Solution
Calculation:
The data represents the absorbency rate for the three brands.
State the hypotheses:
Null hypothesis:
Alternative hypothesis:
The level of significance is 0.05.
Software procedure:
Step by step procedure to obtain One-Way ANOVA using the MINITAB software:
- Choose Stat > ANOVA > One-Way.
- In Response, enter the column of values.
- In Factor, enter the column of Brands.
- Click OK.
Output using the MINITAB software is given below:
From the Minitab output the F-ratio is 7.23 and the p-value is 0.0134.
Decision:
If
If
Conclusion:
Here, the p-value is less than the level of significance.
That is,
Therefore, the null hypothesis is rejected.
Hence, there is sufficient evidence to infer that there is a significant difference among the mean absorbency ratings for the three brands at
Want to see more full solutions like this?
Chapter 13 Solutions
STATISTICS F/BUSINESS+ECONOMICS-TEXT
- Show all workarrow_forwardplease find the answers for the yellows boxes using the information and the picture belowarrow_forwardA marketing agency wants to determine whether different advertising platforms generate significantly different levels of customer engagement. The agency measures the average number of daily clicks on ads for three platforms: Social Media, Search Engines, and Email Campaigns. The agency collects data on daily clicks for each platform over a 10-day period and wants to test whether there is a statistically significant difference in the mean number of daily clicks among these platforms. Conduct ANOVA test. You can provide your answer by inserting a text box and the answer must include: also please provide a step by on getting the answers in excel Null hypothesis, Alternative hypothesis, Show answer (output table/summary table), and Conclusion based on the P value.arrow_forward
- A company found that the daily sales revenue of its flagship product follows a normal distribution with a mean of $4500 and a standard deviation of $450. The company defines a "high-sales day" that is, any day with sales exceeding $4800. please provide a step by step on how to get the answers Q: What percentage of days can the company expect to have "high-sales days" or sales greater than $4800? Q: What is the sales revenue threshold for the bottom 10% of days? (please note that 10% refers to the probability/area under bell curve towards the lower tail of bell curve) Provide answers in the yellow cellsarrow_forwardBusiness Discussarrow_forwardThe following data represent total ventilation measured in liters of air per minute per square meter of body area for two independent (and randomly chosen) samples. Analyze these data using the appropriate non-parametric hypothesis testarrow_forward
- Glencoe Algebra 1, Student Edition, 9780079039897...AlgebraISBN:9780079039897Author:CarterPublisher:McGraw HillBig Ideas Math A Bridge To Success Algebra 1: Stu...AlgebraISBN:9781680331141Author:HOUGHTON MIFFLIN HARCOURTPublisher:Houghton Mifflin HarcourtHolt Mcdougal Larson Pre-algebra: Student Edition...AlgebraISBN:9780547587776Author:HOLT MCDOUGALPublisher:HOLT MCDOUGAL


