A large super market chain is doing market research in the City of Long Beach to determine whether   the monthly household grocery bill was $325.The research department took a sample of size 225 observations.They found that the sample mean,x -bar , was $285,the sample standard deviation was s=$60.Let the level of significance ,α,be 2%(.02).Perform  a test to find out whether the average grocery bill is significantly different from $325.Do both a Neyman -Pearson critical value(cv) test   and a p-value test.

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A large super market chain is doing market research in the City of Long Beach to determine whether   the monthly household grocery bill was $325.The research department took a sample of size 225 observations.They found that the sample mean,x -bar , was $285,the sample standard deviation was s=$60.Let the level of significance ,α,be 2%(.02).Perform  a test to find out whether the average grocery bill is significantly different from $325.Do both a Neyman -Pearson critical value(cv) test   and a p-value test.

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