The answer is going to be 20x-4
Answer: -1.5
Step-by-step explanation:
When population standard deviation is known, then the formula to find the z-test statistic for population mean is given by :-
![z=\dfrac{\overline{x}-\mu}{\dfrac{\sigma}{\sqrt{n}}}](https://tex.z-dn.net/?f=z%3D%5Cdfrac%7B%5Coverline%7Bx%7D-%5Cmu%7D%7B%5Cdfrac%7B%5Csigma%7D%7B%5Csqrt%7Bn%7D%7D%7D)
, where n= Sample size.
= Population mean
= Sample mean
= Population standard deviation.
As per given , we have
(average infants contracted typhoid each month)
![\sigma=40](https://tex.z-dn.net/?f=%5Csigma%3D40)
n= 4 (No. of months)
Then , the value of the appropriate test statistic will be :
![z=\dfrac{90-120}{\dfrac{40}{\sqrt{4}}}](https://tex.z-dn.net/?f=z%3D%5Cdfrac%7B90-120%7D%7B%5Cdfrac%7B40%7D%7B%5Csqrt%7B4%7D%7D%7D)
![z=\dfrac{-30}{\dfrac{40}{2}}](https://tex.z-dn.net/?f=z%3D%5Cdfrac%7B-30%7D%7B%5Cdfrac%7B40%7D%7B2%7D%7D)
![z=\dfrac{-30}{20}](https://tex.z-dn.net/?f=z%3D%5Cdfrac%7B-30%7D%7B20%7D)
![z=-1.5](https://tex.z-dn.net/?f=z%3D-1.5)
Hence, the value of the test statistic = -1.5
She could have hiked one 2 mile trail and one 1 mile trail or she could’ve hiked one 2.5 mile trail and another 0.5 mile trail
Estimate...not an exact answer
73,404....rounds to 73,000
27,865...rounds to 28,000
73,000 + 28,000 = 101,000 <=
Answer:
<em>Expected Payoff ⇒ $ 1.50 ; Type in 1.50</em>
Step-by-step explanation:
Considering that 1 out of the 100 tickets will have a probability of winning a 150 dollar prize, take a proportionality into account;
![100 - Number of Tickets,\\1 - Number of Tickets You Can Enter,\\\\1 / 100 - Probability of Winning,\\$ 150 - Money Won,\\\\Proportionality - 1 / 100 = x / 150, where x - " Expected Payoff "\\\\1 / 100 = x / 150,\\100 * x = 150,\\\\Conclusion ; x = 1.5 dollars](https://tex.z-dn.net/?f=100%20-%20Number%20of%20Tickets%2C%5C%5C1%20-%20Number%20of%20Tickets%20You%20Can%20Enter%2C%5C%5C%5C%5C1%20%2F%20100%20-%20Probability%20of%20Winning%2C%5C%5C%24%20150%20-%20Money%20Won%2C%5C%5C%5C%5CProportionality%20-%201%20%2F%20100%20%3D%20x%20%2F%20150%2C%20where%20x%20-%20%22%20Expected%20Payoff%20%22%5C%5C%5C%5C1%20%2F%20100%20%3D%20x%20%2F%20150%2C%5C%5C100%20%2A%20x%20%3D%20150%2C%5C%5C%5C%5CConclusion%20%3B%20x%20%3D%201.5%20dollars)
<em>Thus, Solution ; Expected Payoff ⇒ $ 1.50</em>