From a population of cans of coffee marked \"12 ounces\", a random sample of 20

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"

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