From a population of cans of coffee marked \"12 ounces\", a random sample of 20
ID: 3158673 • Letter: F
Question
From a population of cans of coffee marked "12 ounces", a random sample of 20 cans was selected and the contents of each can were weighed. The sample revealed a mean of 11.80 ounces and a sample standard deviation of 0.5 ounces. At a 5%(0.05) level of significance, test to see if the mean of the population is at least 12 ounces. What is your Conclusion? I need to see Null hypothesis, and alternative hypothesis, your work to get a t or z score and critical value for the text and if ask a conclusion.
Explanation / Answer
Ho : miu = 12
Ha : miu > 12
t = ( 11.80 - 12 ) / ( 0.5 / srqt 20 )
t = -1.789
critical value for 0.05 df= 19 is 1.729
since t < critical value we fail to reject Ho
there is no sufficient evidence to say that cans of coffee marked more than "12 ounces"