Answer:
The sampling distribution of the sample mean of size 30 will be approximately normal with mean 15 and standard deviation 2.19.
Step-by-step explanation:
The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean
and standard deviation
, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean
and standard deviation
.
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
For the population, we have that:
Mean = 15
Standard deviaiton = 12
Sample of 30
By the Central Limit Theorem
Mean 15
Standard deviation 
Approximately normal
The sampling distribution of the sample mean of size 30 will be approximately normal with mean 15 and standard deviation 2.19.
Expression as a single natural logarithm is 2.48490664979.
<h3>What is natural logarithm?</h3>
ln 3+ ln 4
ln (3×4)
ln(12) =2.48490664979
The inverse of an exponential function, the natural log is the logarithm to the base of the number e. Natural logarithms are unique varieties of logarithms that are employed in the treatment of time and growth-related issues.
The distinction between log and ln is that log is expressed in terms of base 10, while ln is expressed in terms of base e. As an illustration, log of base 2 is denoted by log2 and log of base e by loge = ln (natural log).
To learn more about natural logarithm from the given link:
brainly.com/question/20785664
#SPJ4
A negative divided by a negative is a positive, so -14/-2 = 7
Hope this helped!
Answer:
.75 * 6 = 4.5 minutes
Step-by-step explanation:
.75 is 3/4 multiply by 6 because 6/6 is a whole tank of gas.
Sawyers tank takes 4.5 minutes to be filled up.
Answer:
45 miles in 1 hour
Step-by-step explanation:
135/3 = 45
45 miles in 1 hour