Answer:
x=1337/528
Step-by-step explanation:
-314x-214x=-1312-25
-528x=-1337
x=1337/528
Answer:
The value of the test statistic and degrees of freedom is 2.148 and 11 respectively.
Step-by-step explanation:
Consider the provided information.
The mean annual tuition and fees for a sample of 12 private colleges was 36,800 with a standard deviation of 5,000 .
Thus, n = 12,
σ = 5000
degrees of freedom = n-1 = 12-1 = 11
![H_0: \mu = 33700\ and\ H_a: \mu \neq 33700](https://tex.z-dn.net/?f=H_0%3A%20%5Cmu%20%3D%2033700%5C%20and%5C%20H_a%3A%20%5Cmu%20%5Cneq%2033700)
Formula to find the value of z is: ![z=\frac{\bar x-\mu}{\frac{\sigma}{\sqrt{n}}}](https://tex.z-dn.net/?f=z%3D%5Cfrac%7B%5Cbar%20x-%5Cmu%7D%7B%5Cfrac%7B%5Csigma%7D%7B%5Csqrt%7Bn%7D%7D%7D)
Where
is mean of sample, μ is the mean of population, σ is the standard deviation of population and n is number of observations.
![z=\frac{36800-33700}{\frac{5000}{\sqrt{12}}}](https://tex.z-dn.net/?f=z%3D%5Cfrac%7B36800-33700%7D%7B%5Cfrac%7B5000%7D%7B%5Csqrt%7B12%7D%7D%7D)
![z=2.148](https://tex.z-dn.net/?f=z%3D2.148)
Hence, the value of the test statistic and degrees of freedom is 2.148 and 11 respectively.
Answer:
Step-by-step explanation:
Answer:
12
Step-by-step explanation:
12 divided by 1 using long division is 12. As long as a number is divided by 1 the number is the same as the dividends number.