Answer:
0.0039 is the probability that the sample mean hardness for a random sample of 12 pins is at least 51.
Step-by-step explanation:
We are given the following information in the question:
Mean, μ = 50
Standard Deviation, σ = 1.3
Sample size, n = 12
We are given that the distribution of hardness of pins is a bell shaped distribution that is a normal distribution.
Formula:
Standard error due to sampling =

P(sample mean hardness for a random sample of 12 pins is at least 51)
Calculation the value from standard normal z table, we have,
0.0039 is the probability that the sample mean hardness for a random sample of 12 pins is at least 51.
Rounded to the nearest whole number it would be 13
Step-by-step explanation:
1075 students were asked how close they live to the college. The table shows the results below with some values missing. Enter the correct values in the boxes remembering to use the % symbol where necessary.
<u>20 to 25: </u>given 20%
20% of 1,075 = 215
<u>15 to 19: </u>given 12%
12% of 1,075 = 129
<u>10 to 14: </u>given 516 students
(516/1,075)*100 = 48%
<u>5 to 9: </u>given 162 students
(162/1,075)*100 = 15.07%
<u>< 5: </u>given 53 students
(53/1,075)*100 = 4.93%
Answer:
1. There are 8 big fish for every 10 small fish.
2. There are 4 big fish for every 5 small fish.