Answer:
The value of x would be 16.
Step-by-step explanation:
In a data,
Median : middle value of the data when the data is written is ascending order.
While,
Here, the given data is,
4, 5, 6, 8, 10, and x
So, median = = = 7.
Number of the observations = 6,
Sum of the observations = 4+ 5+6+8+10+x = 33 + x
Thus,
Average =
According to the question,
Therefore, the value of x would be 16.
Answer: 95% confidence interval = 20,000 ± 2.12
( 19228.736 , 20771.263 ) OR ( 19229 , 20771 )
Step-by-step explanation:
Given :
Sample size(n) = 17
Sample mean = 20000
Sample standard deviation = 1,500
5% confidence
∴ = 0.025
Degree of freedom () = n-1 = 16
∵ Critical value at ( 0.025 , 16 ) = 2.12
∴ 95% confidence interval = mean ±
Critical value at 95% confidence interval = 20,000 ± 2.12
( 19228.736 , 20771.263 ) OR ( 19229 , 20771 )