Answer: z=-1.00
Step-by-step explanation:
Given : Population mean : ![\mu=39.0](https://tex.z-dn.net/?f=%5Cmu%3D39.0)
Sample size : n=120 ;
Sample mean:
;
Standard deviation: ![s=2.2](https://tex.z-dn.net/?f=s%3D2.2)
Test statistic for population mean:
![z=\dfrac{\overline{x}-\mu}{\dfrac{s}{\sqrt{n}}}\\\\\Rigtarrow\ z=\dfrac{38.8-39.0}{\dfrac{2.2}{\sqrt{120}}}\\\\\Rightarrow\ z=-0.995859195464\aprox-1.00\ \ \text{[Rounded to 2 decimal places]}](https://tex.z-dn.net/?f=z%3D%5Cdfrac%7B%5Coverline%7Bx%7D-%5Cmu%7D%7B%5Cdfrac%7Bs%7D%7B%5Csqrt%7Bn%7D%7D%7D%5C%5C%5C%5C%5CRigtarrow%5C%20z%3D%5Cdfrac%7B38.8-39.0%7D%7B%5Cdfrac%7B2.2%7D%7B%5Csqrt%7B120%7D%7D%7D%5C%5C%5C%5C%5CRightarrow%5C%20z%3D-0.995859195464%5Caprox-1.00%5C%20%5C%20%5Ctext%7B%5BRounded%20to%202%20decimal%20places%5D%7D)
Hence, the value of the test statistic : z=-1.00
Answer:
3 1/8 or 3.125.
Step-by-step explanation:
First you would change 1 1/4 to 5/4. Then you would make a proportion of 5/4 or I like to use decimals, 1.25, over 8. Your proportion would look like: 1.25/8 = x/20. Then cross multiply 1.25 and 20 then divide your product by 8. Your final answer is 3.125 or 3 1/8. Hope this helps!
Answer:
400,000
Step-by-step explanation:
Calculate the doubling time period-
Doubling time period(t)=
doubling time period(t)= 2
<em>Calculate the new population using the doubling time formula below where t is the number of doubling periods:</em>
Population = Initial Population * ![2^{t}](https://tex.z-dn.net/?f=2%5E%7Bt%7D)
Population = 100000 * ![2^{2}](https://tex.z-dn.net/?f=2%5E%7B2%7D)
Population = 100000 * 4
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