Find the area of the shape shown below:
1 answer:
You might be interested in
Answer:
a) Mean = 133, Standard deviation = 2.5
b) Normal distribution
c) 0.0026
Step-by-step explanation:
We are given the following in the question:
Sample size, n = 4
Mean = 133
Standard deviation = 5
a) Mean and the standard deviation of the sampling distribution of the sample mean for the four observations each day.
The sampling distribution has a mean equal to the population mean
The standard deviation of the sampling distribution is given by:
b) Shape of the sampling distribution
Central limit theorem:
When a large sample is drawn from a normal distribution, then the distribution of sample means approaches a normal distribution.
Since the distribution is normal, the sampling distribution of the sample mean will be bell shaped and follow a normal distribution.
c) P(sample mean exceeds 140)
Calculation the value from standard normal z table, we have,
0.0026 is the probability that the sample mean exceeds 140.
Answer:
The root of is 10.5.
Step-by-step explanation:
Given that,
As we have a square root term along with a single term on left side. We will move the single term on right side.
Taking the square on both sides, we get
Square will cancel the impact of square root, therefore:
Therefore, the root of is 10.5.