Answer:
$600...
↓↓↓↓↓
Step-by-step explanation:
25x 24 = 600
Answer:
58
Step-by-step explanation:
58.58 - 0.58 = 58
Let
x---------------> long side rectangle------------> 13.5 in
y---------------> wide side rectangle------------> 10 in
d--------------> <span>length of a diagonal
</span>
we know <span>applying the Pythagorean theorem
</span>d²=x²+y²-----------> d²=13.5²+10²-> d²=282.25
d=√282.25=16.80 in
the answer is 16.8 in
Answer:
The decision rule is
Fail to reject the null hypothesis
The conclusion is
There is no sufficient evidence to show that the average room price is significantly different from $108.50
Step-by-step explanation:
From the question we are told that
The sample size is n = 64
The average price is ![\= x = \$ 112](https://tex.z-dn.net/?f=%5C%3D%20x%20%20%3D%20%5C%24%20112)
The population standard deviation is ![\sigma = \$ 16](https://tex.z-dn.net/?f=%5Csigma%20%20%3D%20%5C%24%2016)
The level of significance is ![\alpha = 0.05](https://tex.z-dn.net/?f=%5Calpha%20%20%3D%200.05)
The population mean is ![\mu = \$ 108.5](https://tex.z-dn.net/?f=%5Cmu%20%3D%20%5C%24%20108.5)
The null hypothesis is ![H_o : \mu = 108.50](https://tex.z-dn.net/?f=H_o%20%3A%20%20%5Cmu%20%3D%20108.50)
The alternative hypothesis is ![H_a : \mu \ne 108.50](https://tex.z-dn.net/?f=H_a%20%20%3A%20%20%5Cmu%20%5Cne%20%20108.50)
Generally the test statistics is mathematically represented as
![z = \frac{\= x - \mu }{ \frac{ \sigma}{\sqrt{n} } }](https://tex.z-dn.net/?f=z%20%3D%20%5Cfrac%7B%5C%3D%20x%20-%20%5Cmu%20%7D%7B%20%5Cfrac%7B%20%5Csigma%7D%7B%5Csqrt%7Bn%7D%20%7D%20%7D)
=>
=> ![z = 1.75](https://tex.z-dn.net/?f=z%20%3D%201.75)
From the z table the area under the normal curve to the left corresponding to 1.75 is
![P( Z > 1.75) = 0.040059](https://tex.z-dn.net/?f=P%28%20Z%20%3E%20%201.75%29%20%3D%200.040059)
Generally p-value is mathematically represented as
![p-value = 2 * P( Z > 1.75)](https://tex.z-dn.net/?f=p-value%20%3D%202%20%2A%20P%28%20Z%20%3E%20%201.75%29)
=> ![p-value = 2 * 0.040059](https://tex.z-dn.net/?f=p-value%20%3D%202%20%2A%200.040059)
=> ![p-value = 0.08012](https://tex.z-dn.net/?f=p-value%20%3D%200.08012)
From the values obtained we see that
hence
The decision rule is
Fail to reject the null hypothesis
The conclusion is
There is no sufficient evidence to show that the average room price is significantly different from $108.50