Answer:
a
The null hypothesis is
$98
The alternative hypothesis is
$98
b
test statistics ![t_s = 1.091](https://tex.z-dn.net/?f=t_s%20%20%3D%20%201.091)
c
The the result of the test statistics is significant
Step-by-step explanation:
From the question we are told that
The population mean is
$98
The standard deviation is
$11
The sample size is ![n = 36](https://tex.z-dn.net/?f=n%20%20%3D%20%2036)
The sample mean is
$100
The level of significance is
% = 0.05
The null hypothesis is
$98
The alternative hypothesis is
$98
Now the critical values for this level of significance obtained from critical value for z-value table is ![z_\alpha = 1.645](https://tex.z-dn.net/?f=z_%5Calpha%20%20%3D%20%201.645)
The test statistics is mathematically evaluated as
![t_s = \frac{\= x - \mu}{ \frac{\sigma }{ \sqrt{n} } }](https://tex.z-dn.net/?f=t_s%20%20%3D%20%20%5Cfrac%7B%5C%3D%20x%20-%20%20%5Cmu%7D%7B%20%5Cfrac%7B%5Csigma%20%7D%7B%20%5Csqrt%7Bn%7D%20%7D%20%7D)
substituting values
![t_s = \frac{100 - 98}{ \frac{11 }{ \sqrt{36} } }](https://tex.z-dn.net/?f=t_s%20%20%3D%20%20%5Cfrac%7B100%20-%20%2098%7D%7B%20%5Cfrac%7B11%20%7D%7B%20%5Csqrt%7B36%7D%20%7D%20%7D)
![t_s = 1.091](https://tex.z-dn.net/?f=t_s%20%20%3D%20%201.091)
Looking at
we see that
hence the we fail to reject the null hypothesis
hence there is no sufficient evidence to conclude that the mean weekly food budget for all households in this community is higher than the national average.
Thus the the result is significant
To find the area of a triangle, you have to multiply the height and the base length, and divide that by two.
In this question, the height is 3 square units and the base length is 4 square units.
Therefore, to find the area, you must multiply 3 by 4, which is 12, and then divide this by 2, which is 6.
So the area of this triangle is 6 square units.
Answer:
first graph
Step-by-step explanation:
Answer:
SSA can not be used
Step-by-step explanation:
Answer:
2 out of 5 chance of being red
Step-by-step explanation: