Aquality control engineer at a potato chip company tests the bag filling machine by weighing bags of potato chips. not every bag contains exactly the same weight. but if more than 15% of bags are over-filled then they stop production to fix the machine. they define over-filled to be more than 1 ounce above the weight on the package. the engineer weighs 100 bags and finds that 21 of them are over-filled. he plans to test the hypotheses: h0: p = 0.15 versus ha: p > 0.15 (where p is the true proportion of overfilled bags). what is the test statistic?

The test statistic is and the observed value 1.68

Step-by-step explanation:

We have a large sample size n = 100, the point estimate for the true proportion of overfilled bags p is given by . The test statistic is given by which is distributed as a standard normal variable approximately because we have a large sample. The observed value for the test statistic in this case is

none of the option is correct.

step-by-step explanation:

it says to find which expression equals 9^3 sqrt 10 = ?

9^3 sqrt 10 = 729 sqrt 10.

checking option a. 5 sqrt 10 + 4 sqrt 10

5 sqrt 10 + 4 sqrt 10

= 9 sqrt 10.

checking option b. 5^3 sqrt 10 + 4^3 sqrt 10

5^3 sqrt 10 + 4^3 sqrt 10

= 125 sqrt 10 + 64 sqrt 10

= 189 sqrt 10.

checking option c. 5 sqrt 10 + 4^3 sqrt 10

5 sqrt 10 + 4^3 sqrt 10

= 5 sqrt 10 + 64 sqrt 10

= 69 sqrt 10.

checking option d. 5^3 sqrt 10 + 4 sqrt 10

5^3 sqrt 10 + 4 sqrt 10

= 125 sqrt 10 + 4 sqrt 10

= 129 sqrt 10.

hence, none of the option is correct.

table 1

step-by-step explanation:

1-16

2-32

4-64

8-128

all multiples of 16