Answer: p-value is 0.016.
Step-by-step explanation:
Since we have given that
![H_0:\mu=20\\\\H_a:\mu](https://tex.z-dn.net/?f=H_0%3A%5Cmu%3D20%5C%5C%5C%5CH_a%3A%5Cmu%3C20)
Sample mean = 19.4
Sample size n = 50
Standard deviation = 2
We need to find the test statistic value which is given by
![z=\dfrac{\bar{x}-\mu}{\dfrac{\sigma}{\sqrt{n}}}\\\\\\z=\dfrac{19.4-20}{\dfrac{2}{\sqrt{50}}}\\\\\\z=\dfrac{-0.6}{0.28}\\\\z=-2.14](https://tex.z-dn.net/?f=z%3D%5Cdfrac%7B%5Cbar%7Bx%7D-%5Cmu%7D%7B%5Cdfrac%7B%5Csigma%7D%7B%5Csqrt%7Bn%7D%7D%7D%5C%5C%5C%5C%5C%5Cz%3D%5Cdfrac%7B19.4-20%7D%7B%5Cdfrac%7B2%7D%7B%5Csqrt%7B50%7D%7D%7D%5C%5C%5C%5C%5C%5Cz%3D%5Cdfrac%7B-0.6%7D%7B0.28%7D%5C%5C%5C%5Cz%3D-2.14)
p-value is given by
![P(Z>Z_{critical})\\\\=P(Z>-2.14)\\\\=0.016](https://tex.z-dn.net/?f=P%28Z%3EZ_%7Bcritical%7D%29%5C%5C%5C%5C%3DP%28Z%3E-2.14%29%5C%5C%5C%5C%3D0.016)
Hence, p-value is 0.016.
Answer:
second equation
Step-by-step explanation:
10a + 12p = 70 (10 goes with almonds [a], 12 goes with pistachios[p], $10 and $12 is price per pound and $70 is total price, so that's why its = to 70)
a + p = 6.3 (this is total almonds and pistachios adding up to 6.3 pounds)
a = pounds of almonds
p = pounds of pistachios
First you distribute. 4 to x-1 and 3 times 2x-5 you should get 4x-4-6x+15 because -3 times -5 is positive 15. Combine like terms 6x-4x is 2x and 15-4 is 11
Answer:
if your talking about the earth i dont know because no one have ever compared some random planet and earths weight
Step-by-step explanation:
That’s because the planets weigh different amounts, and therefore the force of gravity is different from planet to planet. For example, if you weigh 100 pounds on Earth, you would weigh only 38 pounds on Mercury. That’s because Mercury weighs less than Earth, and therefore its gravity would pull less on your body.