Answer:
Step-by-step explanation:
The volume of a sphere is given by :
The rate of change of volume means,
We have,
So,
So, the volume is increasing at the rate of .
Answer:
The t-score is -1.8432
Step-by-step explanation:
We are given the following in the question:
98, 99.6, 97.8, 97.6, 98.7, 98.4, 98.9, 97.1, 99.2, 97.4, 99.1, 96.9, 98.8, 99.9, 96.8, 97, 98.7, 97.6, 98.7, 98.2
Formula:
where are data points,
is the mean and n is the number of observations.
Sum of squares of differences = 16.152
Population mean, μ = 98.6
Sample mean, = 98.22
Sample size, n = 20
Sample standard deviation, s = 0.922
First, we design the null and the alternate hypothesis
Formula:
Putting all the values, we have
The t-score is -1.8432