Lake Michigan has some toxins due to algae development in summer months. Governm

Question

Lake Michigan has some toxins due to algae development in summer months. Government regulation indicated that the maximum algae concentration in drinking water is 7955 ppb parts per billions). The water department monitor algae concentration by monitoring the toxin concentration in 25 times per week. The Sample average was 7976 ppb. It is known historically that the standard deviation is 105 ppb. What is the probability that the sample average in this experiment would exceed the government limit if the population mean is equal to the government approved limit? Does the measured sample average (7962) indicate that the current drinking water has a higher concentration of algae than government approved limit by comparing p-value with 95% limits.

Explanation / Answer

here std error =std deviation/(n)1/2=105/(25)1/2 =21

a)here zstat =(X-mean)/std error =(7976-7955)/21=1

and p vlaue for above =0.1587

b)No as p value is higher then 0.05 level we can not conlclude that curent drinking water has a higher concentration

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