Answer:
E
Step-by-step explanation:
If you add 22 onto the sum of all the points and divide by the amount of games (6), you get 12.
4.133 kilometers
2.063 + 2.07 = 4.133
Answer:
If the game with 3 hits is ignored the data becomes:
- 7, 7, 8, 8, 8, 8, 9, 9, 9, 9, 9, 10, 10, 10, 10, 11, 11, 11, 11
a) The mean will increase.
<u>With 3:</u>
- (3 + 7*2 + 8*4 + 9*5 + 10*4 + 11*4)/20 = 8.9
<u>Without 3:</u>
- (7*2 + 8*4 + 9*5 + 10*4 + 11*4)/19 = 9.21
b) The median will remain as is.
- With 3 and without the median is same = 9
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:
He is incorrect.
Step-by-step explanation:
The correct answer is 4,160.