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:
a. 10
b. 0.1
Step-by-step explanation:
a. The t-shirts comes in 5 sizes (Small,medium,large, extra large and extra extra large) and two colors orange and black. The total different type of shirts are 5*2=10 different type of t-shirts.Also if we make sample space of all shirts we can assess the total different type of t-shirts. sample space=S={small orange,medium orange,large orange,XL orange,XXL orange,small black,medium black,large black,XL black,XXL black}. n(S)=total different type of shirts=10.
b. P( large orange t-shirt)=n(large orange t-shirt)/n(S)=1/10=0.10.
Answer:
Step-by-step explanation:
Here are some steps to help you
Step 1
30x2 - 25x -30 Factoring
Step 2
30x2 - 25x -30 factor out the equation
5(3x+2)(2x-3)
Step 3
5(3x+2)(2x-3) Check by simplifying
When you check, you will get the question back
Answer
5(3x+2)(2x-3)
Hope this helps
Answer:
what graph?
Step-by-step explanation: