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%

solution:

→c= a b , that is product of a and b is possible only when when a is m × n matrix and b is n × p matrix.

that is, number of columns of a= number of rows of b.

so, size of matrix , c= a b is , if a = (m × n)matrix

b= (n × p)matrix

then a b = [ (m × n)matrix] ×[   (n × p)matrix ]

→→c= a b= [m × p ] matrix

→→size of product a b will be equal to = number of rows of a × number of columns of b