Using the Empirical Rule and the Central Limit Theorem, we have that:
- About 68% of the sample mean fall with in the intervals $1.64 and $1.82.
- About 99.7% of the sample mean fall with in the intervals $1.46 and $2.
<h3>What does the Empirical Rule state?</h3>
It states that, for a normally distributed random variable:
- Approximately 68% of the measures are within 1 standard deviation of the mean.
- Approximately 95% of the measures are within 2 standard deviations of the mean.
- Approximately 99.7% of the measures are within 3 standard deviations of the mean.
<h3>What does the Central Limit Theorem state?</h3>
By the Central Limit Theorem, the sampling distribution of sample means of size n has standard deviation 
.
In this problem, the standard deviation of the distribution of sample means is:
68% of the means are within 1 standard deviation of the mean, hence the bounds are:
99.7% of the means are within 3 standard deviations of the mean, hence the bounds are:
More can be learned about the Empirical Rule at brainly.com/question/24537145
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Answer:
264 degree angle
Step-by-step explanation:
Hi.
The first question is a direct variation — specifically y = 1.8x
In the second one (if my calculations are correct), it's not a direction variation.
Hope this helps :)
Calculations:
y = 1.8(3) = 5.4
y does not equal x, 2x, or -2x.
Answer:
In this section, we discuss box-and-whisker plots and the five key values. The key values are called a five-number summary, which consists of the minimum, first quartile, the set is put into increasing order, divides the data into two equal parts. First, we put the values in the data set into increasing order: 3, 5, 7, 8, 12, 13, the middle score for a set of data that has been arranged in order from least to greatest. A box-and-whisker plot shows the distribution of a set of data along with... Quartiles are values that divide a set of data into four equal parts. The second Quartile ( designated Q2) also called the median or the 50th percentile (cuts data set in half ).
Step-by-step explanation:
Answer:
m = -2
y-intercept = 4
Step-by-step explanation:
m = y2-y1/x2-x1
so
m = -2-4/3-0
=-2
y=mx+b
Substitute the coordinates into the equation to find b
4=-2(0)+b
4=b
so y intercept is 4
y=-2x+4
