Aconsumer protection group randomly checks the volume of different beverages to ensure that companies are packaging the stated amount. each individual volume is not exact, but a volume of iced tea beverages is supposed to average to 300 ml with a standard deviation of 3 ml. the consumer protection group sampled 20 beverages and found the average to be 298.4 ml. which of the following is the most restrictive level of significance on a hypothesis test that would indicate the company is packaging less than the required average 300 ml?
1%
2.5%
5%.
10%

2.5%

Step-by-step explanation:

Sample size n = 20

Sample mean x bar = 298.4

Sigma = population std deviaton = 3

mu = population mean = 300 mL

t statistic = x bar-mu/Std error

STd error = std deviation/sqrt of n

= 3/4.47=0.6711

Hence t statistic = (298.4-300)/0.6711

=-2.38

df =20-1 =19

p value for this is 0.013=1.3%

Note that p vaue >1% but less than 2.5%, 5% and 10%

Hence the restrictive value most is 2.5%

step-by-step explanation:

first, eliminate the parenthesis:

3

x

+

2

−

4

x

second, group like terms:

3

x

−

4

x

+

2

third, combine like terms:

(

3

−

4

)

x

+

2

→

−

1

x

+

2

→

−

x

+

2

multiplication is multiplication.   it might feel harder depending on what level of math you are in, but generally it will be the same old stuff, while implementing some new concepts and methods of solving work.