Check the picture below.
make sure your calculator is in Degree mode.
Answer:
a
The null hypothesis is
The alternative hypothesis is ![H_a : \mu < 32.48](https://tex.z-dn.net/?f=H_a%20%20%3A%20%20%5Cmu%20%20%3C%20%2032.48)
b
![t = -1.504](https://tex.z-dn.net/?f=t%20%20%3D%20%20-1.504)
c
There is no sufficient evidence to conclude that the mean price in Providence for a bottle of red wine that scores 4.0 or higher on the Vivino Rating System is less than the population mean of $32.48
Step-by-step explanation:
From the question we are told that
The mean price of is ![\mu = \$ 32.48](https://tex.z-dn.net/?f=%5Cmu%20%20%3D%20%20%5C%24%2032.48)
The sample size is n = 56
The sample mean is ![\= x = \$30.15](https://tex.z-dn.net/?f=%5C%3D%20%20x%20%20%3D%20%20%5C%2430.15)
The standard deviation is ![\sigma = \$12](https://tex.z-dn.net/?f=%5Csigma%20%3D%20%20%5C%2412)
The null hypothesis is
The alternative hypothesis is ![H_a : \mu < 32.48](https://tex.z-dn.net/?f=H_a%20%20%3A%20%20%5Cmu%20%20%3C%20%2032.48)
Generally the test statistic is mathematically represented as
![t = \frac{\= x - \mu }{\frac{\sigma }{\sqrt{n} } }](https://tex.z-dn.net/?f=t%20%3D%20%20%5Cfrac%7B%5C%3D%20x%20%20-%20%5Cmu%20%7D%7B%5Cfrac%7B%5Csigma%20%7D%7B%5Csqrt%7Bn%7D%20%7D%20%7D)
=> ![t = \frac{30.15 - 32.48 }{\frac{12 }{\sqrt{60} } }](https://tex.z-dn.net/?f=t%20%3D%20%20%5Cfrac%7B30.15%20%20-%2032.48%20%7D%7B%5Cfrac%7B12%20%7D%7B%5Csqrt%7B60%7D%20%7D%20%7D)
=> ![t = -1.504](https://tex.z-dn.net/?f=t%20%20%3D%20%20-1.504)
Generally the p-value is mathematically represented as
![p-value = P (t < -1.504 )](https://tex.z-dn.net/?f=p-value%20%20%3D%20%20P%20%28t%20%3C%20-1.504%20%29)
From the z-table
![P(t < -1.504) = 0.066291](https://tex.z-dn.net/?f=P%28t%20%3C%20%20-1.504%29%20%3D%20%20%200.066291)
So
![p-value = 0.066291](https://tex.z-dn.net/?f=p-value%20%20%3D%200.066291%20)
From the value we obtain we see that
![p -value > \alpha](https://tex.z-dn.net/?f=p%20-value%20%20%3E%20%20%5Calpha)
Then we fail to reject the null hypothesis
Hence there is no sufficient evidence to conclude that the mean price in Providence for a bottle of red wine that scores 4.0 or higher on the Vivino Rating System is less than the population mean of $32.48
Answer:
Don't worry, I've got you covered.
1) g=33
2) y=17
3) r=15
4) m=48
5) I=108
6) a=63
7) t=54
8) x=21
9) y=63
Answer:
53, 57, 59
Step-by-step explanation:
i searched it up