A rectangular prism has a length of 11 centimeters, a width of 9 centimeters, and a height of 3 centimeters. What is the cubic c
2 answers:
You might be interested in
Answer:
The degrees of freedom are given by:
The p value would be given by:
Since the p value is higher than 0.1 we have enough evidence to FAIl to reject the null hypothesis and we can't conclude that the true mean is less than 60
Step-by-step explanation:
Information given
60, 56, 60, 55, 70, 55, 60, and 55.
We can calculate the mean and deviation with these formulas:
Replacing we got:
represent the mean
represent the sample standard deviation for the sample
sample size
represent the value that we want to test
represent the significance level
t would represent the statistic
represent the p value
Hypothesis to test
We want to test if the true mean is less than 60, the system of hypothesis would be:
Null hypothesis:
Alternative hypothesis:
The statistic would be given by:
(1)
Replacing the info we got:
The degrees of freedom are given by:
The p value would be given by:
Since the p value is higher than 0.1 we have enough evidence to FAIl to reject the null hypothesis and we can't conclude that the true mean is less than 60
Option B: is the correct answer.
Explanation:
The exponential equation is
If , then
Thus, the equation becomes
Applying log rule, and thus the equation becomes
Since, we know that, , using this we get,
Hence, the logarithmic equation which is equivalent to the exponential equation is
Thus, Option B is the correct answer.