Answer:
That sucks
Step-by-step explanation:
Answer:
56 different tests
Step-by-step explanation:
Given:
Number of wires available (n) = 8
Number of wires taken at a time for testing (r) = 5
In order to find the number of different tests required for every possible pairing of five wires, we need to find the combination rather than their permutation as order of wires doesn't disturb the testing.
So, finding the combination of 5 pairs of wires from a total of 8 wires is given as:
![^nC_r=\frac{n!}{r!(n-r)!}](https://tex.z-dn.net/?f=%5EnC_r%3D%5Cfrac%7Bn%21%7D%7Br%21%28n-r%29%21%7D)
Plug in the given values and solve. This gives,
![^8C_5=\frac{8!}{5!(8-5)!}\\\\^8C_5=\frac{8\times 7\times 6\times 5!}{5!\times 3\times2\times1}\\\\^8C_5=56](https://tex.z-dn.net/?f=%5E8C_5%3D%5Cfrac%7B8%21%7D%7B5%21%288-5%29%21%7D%5C%5C%5C%5C%5E8C_5%3D%5Cfrac%7B8%5Ctimes%207%5Ctimes%206%5Ctimes%205%21%7D%7B5%21%5Ctimes%203%5Ctimes2%5Ctimes1%7D%5C%5C%5C%5C%5E8C_5%3D56)
Therefore, 56 different tests are required for every possible pairing of five wires.
Median = 41
hope that helps
We are given the following data:
Sample Size = n = 1000
Sample Mean = u = 15 hours
Population Standard Deviation = s = 2 hours
Since we know the population standard deviation, we can use z distribution to find the confidence interval about the mean. z value for 95% confidence interval is 1.96.
Formula for the confidence interval is:
![(u-z\frac{s}{\sqrt{n}} , u+z\frac{s}{\sqrt{n}})](https://tex.z-dn.net/?f=%20%28u-z%5Cfrac%7Bs%7D%7B%5Csqrt%7Bn%7D%7D%20%2C%20%20u%2Bz%5Cfrac%7Bs%7D%7B%5Csqrt%7Bn%7D%7D%29%20)
Using the values in the formula, we get:
![(15-1.96\cdot\frac{2}{\sqrt{1000}}, 15+1.96\cdot\frac{2}{\sqrt{1000}})\\ \\ (14.88,15.12)](https://tex.z-dn.net/?f=%20%2815-1.96%5Ccdot%5Cfrac%7B2%7D%7B%5Csqrt%7B1000%7D%7D%2C%20%2015%2B1.96%5Ccdot%5Cfrac%7B2%7D%7B%5Csqrt%7B1000%7D%7D%29%5C%5C%20%5C%5C%20%20%2814.88%2C15.12%29%20)
Therefore, the 95% confidence interval about the population mean is 14.88 hours to 15.12 hours. So B option is the correct answer.