The american sugar producers association wants to estimate
themean yearly sugar consumption. a sample of n = 12 people
revealsthe mean yearly consuption to be 55 pounds with a
standarddeviation of 20 pounds. find the lower bound for the 98%
confidenceinterval for the mean yearly sugar consumption. assume
thepopulation is normal.

39.308 pounds

Step-by-step explanation:

We assume that the given population is normally distributed.

Given : Significance level :

Sample size : n= 12, which is  small sample (n<30), so we use t-test.

Critical value (by using the t-value table)=

Sample mean :  

Standard deviation :

The lower bound of confidence interval is given by :-

i.e.

Hence, the lower bound for the 98%  confidence interval for the mean yearly sugar consumption= 39.308 pounds

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