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A well-known conglomerate claims that its detergent "whitens and brightens better than all the rest." In order to compare the cleansing action of the top three detergents, 15 swatches of white cloth were soiled with red wine and grass stains and then washed in front-loading machines with the respective detergents. The following whiteness readings are shown in the accompanying table. The data are also on the text website, labeled Detergents
a. Specify the competing hypotheses in order to test whether differences exist in the cleansing action of the three detergents.
b. Calculate the value of the test statistic H.
c. Approximate the p-value.
d. At the 1% significance level, does cleansing action differ by detergent? Explain.
Repeating this experiment many times with different samples, what values for the sample means would be possible? What values would repeat more often?
Use a 0.05 significance level to test the claim that king-size cigarettes with filters have a lower mean amount of nicotine than the mean amount of nicotine in non-filtered king-size cigarettes.
Translate the following statements into symbolic form using capital letters to represent affirmative English statements.- Nassau's advertising sizzling night clubs is a necessary condition for Puerto Vallarta's offering luxury hotels;
How many business students must be randomly selected to estimate the mean monthly earnings of business students at one college?
Hooded rats: social play times. In Exercise 29.12 you carried out two-way ANOVA for a study of the effect of social isolation on hooded rats. The response variable is the time (in seconds) that a rat devoted to social play during an observation pe..
Foreign-language study Choose a student in grades 9 to 12 at random and ask if he or she is studying a language other than English. Here is the distribution.
A manufacturer of power meters, which are used to regulate energy thresholds of a data-communications system, claims that when its production process is operating correctly, only 10% of the power meters will be defective.
What is the sample proportion that answered "less strict?" Use appropriate notation.- Calculate the standard error of the sample proportion.
Suppose that the population of all gasoline mileages is normally distributed with mean µ = 31.5 mpg and standard deviation σ = 0.8 mpg. Let y denote a mileage randomly selected from this population. Find the probabilities:
Using symbols mention null hypothesis and alternative hypothesis.
In our survey, 25% of the people earned less than what amount?
Motivation. Explain the purpose of the segmentation approach that models these businesses with a history of bankruptcy from the other businesses.
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