how do you answer question 25.30? Does Design A allow use of one-way ANOVA to comparethe lists? Does Design B allow use of one-way ANOVA tocompare the lists? Briefly explain your answers.(b) What hypotheses does ANOVA test in this setting?(c) We do not have all the data. What would you look for indeciding whether you can safely use ANOVA!(d) What is the relationship between the standard error ofthe mean (SEM) and the standard deviation for a sample?What are the four sample standard deviations? Do they satisfy25.31 More rain for California? The changing climatewill probably bring more rain to California, but we don't knowwhether the additional rain will come during the winter wetseason or extend into the long dry season in spring and sum-mer. Kenwyn Suttle of the University of California at Berkeleyand his coworkers randomly assigned plots of open grassland tothree treatments: added water equal to 20% of annual rainfalleither during January to March (winter) or during April to June(spring), and no added water (control). Here are some of thedata, for plant biomass (in grams per square meter) produced byeach plot in a single year:"our rule of thumb for safe use of ANOVA?25.30 Can you hearthese words? To testwhether a hearing aid isright for a patient, audi-ologists play a tape onwhich words are pro-nounced at low volume.The patient tries torepeat the words. There Phanieh Rehemare several different listsof words that are supposed to be equally difficult. Are the listsequally difficult when there is background noise? To find out,an experimenter had subjects with normal hearing listen tofour lists with a noisy background. The response variable wasthe percent of the 50 words in a list that the subject repeatedcormectly. The data set contains 96 responses." Here are twostudy designs that could produce these data:BIOMASS2003WinterSpringControl264.1514318.4182129.0538187.7312281.6830144.6578291.1431288.8433172.7772176.2879382.6673113.2813141.7525326.8877142.1562169.9737293.8502117.9808Design A. The experimenter assigns 96 subjects to4 groups at random. Each group of 24 subjects listensto one of the lists. All individuals listen and respondseparately.Figure 25.10 shows Minitab ANOVA output for these data.(a) Make side-by-side stemplots of plant biomass for thethree treatments, as well as a table of the sample means andstandard deviations. What do the data appear to show aboutthe effect of extra water in winter and in spring on biomass!Do these data satisfy the conditions for ANOVA!Design B. The experimenter has 24 subjects. Eachsubject listens to all four lists in random order. All indi-viduals listen and respond separately.SessionOne-way ANOVA: biomass versus treatmentSourceTreatmentDF2 97583 48792 27.52 0.00015 26593Error1773Total17 124176S- 42.11 R-sq - 78.58 R-sq(adj) - 75.738Individual 9ss CIs For Mean Based onPooled StDevLevelMean stDevControl 136.65 21.69 (----- )6 315.39 37.34SpringWinter(---------)FIGURE 25.106 205.1758.77Minitab ANOVA output for comparing the total plant biomass ofgrassland plots under different waterconditions, for Exencise 25.31.140210280350Pooled St Dev 42.11

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Description: how do you answer question 25.30? Does Design A allow use of one-way ANOVA to comparethe lists? Does Design B allow use of one-way ANOVA tocompare the lists? Briefly explain your answers.(b) What hypotheses does ANOVA test in this setting?(c) We do n

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how do you answer question 25.30? Does Design A allow use of one-way ANOVA to comparethe lists? Does Design B allow use of one-way ANOVA tocompare the lists? Briefly explain your answers.(b) What hypotheses does ANOVA test in this setting?(c) We do not have all the data. What would you look for indeciding whether you can safely use ANOVA!(d) What is the relationship between the standard error ofthe mean (SEM) and the standard deviation for a sample?What are the four sample standard deviations? Do they satisfy25.31 More rain for California? The changing climatewill probably bring more rain to California, but we don't knowwhether the additional rain will come during the winter wetseason or extend into the long dry season in spring and sum-mer. Kenwyn Suttle of the University of California at Berkeleyand his coworkers randomly assigned plots of open grassland tothree treatments: added water equal to 20% of annual rainfalleither during January to March (winter) or during April to June(spring), and no added water (control). Here are some of thedata, for plant biomass (in grams per square meter) produced byeach plot in a single year:&#34;our rule of thumb for safe use of ANOVA?25.30 Can you hearthese words? To testwhether a hearing aid isright for a patient, audi-ologists play a tape onwhich words are pro-nounced at low volume.The patient tries torepeat the words. There Phanieh Rehemare several different listsof words that are supposed to be equally difficult. Are the listsequally difficult when there is background noise? To find out,an experimenter had subjects with normal hearing listen tofour lists with a noisy background. The response variable wasthe percent of the 50 words in a list that the subject repeatedcormectly. The data set contains 96 responses.&#34; Here are twostudy designs that could produce these data:BIOMASS2003WinterSpringControl264.1514318.4182129.0538187.7312281.6830144.6578291.1431288.8433172.7772176.2879382.6673113.2813141.7525326.8877142.1562169.9737293.8502117.9808Design A. The experimenter assigns 96 subjects to4 groups at random. Each group of 24 subjects listensto one of the lists. All individuals listen and respondseparately.Figure 25.10 shows Minitab ANOVA output for these data.(a) Make side-by-side stemplots of plant biomass for thethree treatments, as well as a table of the sample means andstandard deviations. What do the data appear to show aboutthe effect of extra water in winter and in spring on biomass!Do these data satisfy the conditions for ANOVA!Design B. The experimenter has 24 subjects. Eachsubject listens to all four lists in random order. All indi-viduals listen and respond separately.SessionOne-way ANOVA: biomass versus treatmentSourceTreatmentDF2 97583 48792 27.52 0.00015 26593Error1773Total17 124176S- 42.11 R-sq - 78.58 R-sq(adj) - 75.738Individual 9ss CIs For Mean Based onPooled StDevLevelMean stDevControl 136.65 21.69 (----- )6 315.39 37.34SpringWinter(---------)FIGURE 25.106 205.1758.77Minitab ANOVA output for comparing the total plant biomass ofgrassland plots under different waterconditions, for Exencise 25.31.140210280350Pooled St Dev 42.11

Accepted Answer

Here's  is the explanation for this as follows;
One-way ANOVA :
It is an analysis of variance in…

Does Design A allow use of one-way ANOVA to compare the lists? Does Design B allow use of one-way ANOVA to compare the lists? Briefly explain your answers.