Answer:
The 95% confidence interval for the measurements is [48.106, 53.494].
Step-by-step explanation:
The average M of this sample is
The standard deviation s of this sample is
![s=\sqrt{\dfrac{1}{4}\cdot [(52-50.8)^2+(48-50.8)^2+(49-50.8)^2+(52-50.8)^2+(53-50.8)^2]}](https://tex.z-dn.net/?f=s%3D%5Csqrt%7B%5Cdfrac%7B1%7D%7B4%7D%5Ccdot%20%5B%2852-50.8%29%5E2%2B%2848-50.8%29%5E2%2B%2849-50.8%29%5E2%2B%2852-50.8%29%5E2%2B%2853-50.8%29%5E2%5D%7D)
![s=\sqrt{\dfrac{1}{4}\cdot [(1.44)+(7.84)+(3.24)+(1.44)+(4.84)]}=\sqrt{\dfrac{18.8}{4}}=\sqrt{4.7}\\\\\\s=2.168](https://tex.z-dn.net/?f=s%3D%5Csqrt%7B%5Cdfrac%7B1%7D%7B4%7D%5Ccdot%20%5B%281.44%29%2B%287.84%29%2B%283.24%29%2B%281.44%29%2B%284.84%29%5D%7D%3D%5Csqrt%7B%5Cdfrac%7B18.8%7D%7B4%7D%7D%3D%5Csqrt%7B4.7%7D%5C%5C%5C%5C%5C%5Cs%3D2.168)
The degrees of freedom are
Then, the critical value of t for a 95% CI and 4 degrees of freedom is t=2.776.
The margin of error of the CI is:
Then, the lower and upper bounds of the CI are:
The 95% confidence interval for the measurements is [48.106, 53.494].
Answer:
Total probability value is 1
P(green) = 0.2 , P(brown) = 0.54
Given P(red) = P(yellow) = x
Total Probability = P(green) + P(Brown) + x + x
1 = 0.2 + 0.54 + 2x
1 - 0.74 = 2x
x = 0.13
P(red) = P(yellow) = 0.13
Now number of times it landed on each color :
Since P(red) = P(yellow) , the number of time on yellow and red are same.
Answer :
Red 156
Green 240
Brown 648
Yellow 156
Since the manufacturing company is expected to have a lower output by 8.4%, the output in 2016 will only be 91.6%. Given also that their output in 2006 is 1.8 billion dollars, we multiply this value by the decimal equivalent of 91.6% to determine the answer. That is,
projected output in 2016 = ($1.8 B) x (0.916)
= $1.6488 B
Thus, the expected output in 2016 is approximately $1.6488 B.
For the initial 600 days the sun was shining for a total of 360 days. This can be found by converting the percentage to a decimal by dividing its value by 100 and then multiplying that value by the initial total number of days shining.
(60/100) x (600) = 360 days
She then observes the sun for an additional 200 days increasing the total amount of days from 600 to 800. As a result the percentage of sunny days drops from 60% to 50%. To help solve the problem you have to determine what 50% of the new total amount of days is.
(50/100) x 800 = 400 days
Lastly to determine how many of the days during the final 200 days were sunny subtract the number of sunny days from the first equation from the second.
400 days - 360 days = 40 days
This means that 40 of the final 200 days were sunny.
Answer: 875
Step-by-step explanation:
