Aproduction line operates with a mean filling weight of 16 ounces per container. overfilling
or underfilling presents a serious problem and when detected requires the operator to shut
down the production line to readjust the filling mechanism. from past data, a population
standard deviation σ= .8 ounces is assumed. a quality control inspector selects a sample
of 30 items every hour and at that time makes the decision of whether to shut down the line
for readjustment. the level of significance is α= .05.

a. state the hypothesis test for this quality control application.
b. if a sample mean of x¯¯¯ 16.32 ounces were found, what is the p-value? what action
would you recommend?
c. if a sample mean of x¯¯¯ 15.82 ounces were found, what is the p-value? what action
would you recommend?
d. use the critical value approach. what is the rejection rule for the preceding hypothesis
testing procedure? repeat parts (b) and (c). do you reach the same conclusion?

answer:

cocaine is a highly addictive and illegal stimulant that is made from the leaves of the coca plant, which is native to south america. according to the drug enforcement administration, colombia is the main producer of cocaine, but peru, bolivia, and chile also make and distribute significant amounts of the drug.

the foundation for a drug-free world reports that cocaine is the second most trafficked substance of all the illegal drugs, and to date, 756 metric tons of it have been intercepted and seized by various international law enforcement agencies. cocaine is rarely sold in its purest form because producing it is a fairly labor-intensive process, and individual manufacturers want to make as much money as possible from each batch

step-by-step explanation:

x =-.20752

step-by-step explanation:

4^(x+2)=12

4^(x+2)=12

take the log base 4 on each side

log 4 (4^(x+2) = log 4(12)

we know log b(a^y) = y log b (a)

(x+2) log 4(4) = log 4 (12)

x+2 = log 4 (12)

we know   logb c = loga c/loga b

we want to convert to base 10   so a = 10

by default, we do not write the 10   c = 4   and b = 10

log4 10 = log 12/log 4

log4 10 = log 12/ log 4

x+2 = log 12/ log 4

subtract 2 from each side

x +2 -2 = log 12/ log 4 -2

x = 1.79248125 -2

x =-.20752

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