Answer:
The decision rule is
Reject the null hypothesis
Step-by-step explanation:
From the question we are told that
The population mean is 
The sample size is n = 160
The sample mean is 
The variance is 
The level of significance is 
The null hypothesis is 
The alternative hypothesis is 
Generally the standard deviation is mathematically represented as
=> 
=> 
Generally the test statistics is mathematically represented as
=> 
=> 
From the z table the area under the normal curve to the left corresponding to 2.53 is
From the value obtained we see that the 
hence
The decision rule is
Reject the null hypothesis
The conclusion is
There is sufficient evidence to conclude that the believe that the valve performs above the specifications is true
Answer:
D: [0,8]
R: [0,3]
Step-by-step explanation:
The domain is the x-values covered by the graph, while the range is the y-values. So to find each, find the lowest and highest x and y value; since this graph is continuous the domain and range will include all values between these points. In this case, the lowest x is 0 and the highest is 8; the lowest y is 0 and the highest is 3. Then to write the answer write is from least to greatest, finally, surround the point by a parenthesis or bracket. The difference is that parenthesis means the value is not included while a bracket means it is. On this graph all points are included, therefore brackets should be used.
The answer is 10
This is because both points have the same x value, which is 2, which means the distance between them is a straight line. That means that we can simply find the distance between the y values, and -4 to 0 is 4 units, and 0 to 6 is 6 units, so 4 + 6 = 10.
I hope this helps!
Yes. This is because if you multiply 2 variables together you can make an exponent available. Also, you could do h to the first power plus h to the first power which would equal h ²
