Answer:
The Sample size is 1918.89035
Step-by-step explanation:
Consider the provided information.
It is given that 14 out of 105 samples failed.
Therefore p = 14/105 = 0.13 3... and q=1-0.133=0.867
Samples would be needed to create a 99 percent confidence interval.
Subtract the confidence level from 1, then divide by two.
By standard normal table z=2.5758≈2.58
Calculate the sample size as:
Where, e is the margin of error,
Substitute the respective values.
Hence, the Sample size is 1918.89035
The question says that the end of the cave is 380 meters below.
Lets say the sea level or the surface is at 0 meters or we can say that it is the reference level for us.
Now if we go up the height will be measured with positive integer but if we go down the depth will be represented by a negative integer.
Negative integer also represents the depth or the distance below the surface level.
Here we need to generate an integer that can represent the depth of 380 meters.
So if we are going down we will use negative integer to represent.
Therefore, the integer to represent the depth is meters.