Answer:
a) 0.057
b) 0.5234
c) 0.4766
Step-by-step explanation:
a)
To find the p-value if the sample average is 185, we first compute the z-score associated to this value, we use the formula
where
N = size of the sample.
So,
As the sample suggests that the real mean could be greater than the established in the null hypothesis, then we are interested in the area under the normal curve to the right of 1.5811 and this would be your p-value.
We compute the area of the normal curve for values to the right of 1.5811 either with a table or with a computer and find that this area is equal to 0.0569 = 0.057 rounded to 3 decimals.
So the p-value is
b)
Since the z-score associated to an α value of 0.05 is 1.64 and the z-score of the alternative hypothesis is 1.5811 which is less than 1.64 (z critical), we cannot reject the null, so we are making a Type II error since 175 is not the true mean.
We can compute the probability of such an error following the next steps:
<u>Step 1
</u>
Compute 
So <em>we would make a Type II error if our sample mean is less than 185.3721</em>.
<u>Step 2</u>
Compute the probability that your sample mean is less than 185.3711
So, <em>the probability of making a Type II error is 0.5234 = 52.34%
</em>
c)
<em>The power of a hypothesis test is 1 minus the probability of a Type II error</em>. So, the power of the test is
1 - 0.5234 = 0.4766
Jerrad has a 3-day vacation, Max has a 6-day vacation, and Wesley's vacation is 12 days
Answer:
B1: -9, -3, and 10
B2: 5
Step-by-step explanation:
mark brainliest
I think there are missing details in this question. I'll just discuss what an unenrolled tax preparer is.
Unenrolled Tax Preparers are individuals who <span>possess the minimum qualifications required to prepare federal taxes and are granted a Preparer Tax Identification Number (PTIN) but are not Certified Public Accountants (CPA), lawyers, or enrolled agents.
They are only limited to filing only certain types of tax returns and can only represent their client on the basic audit level before the IRS.
In order for an unenrolled tax preparer to become an enrolled agent, he or she must do the following:
1) Pass a three-part examination before the IRS
2) Undergo compliance check on their tax history
3) Complete 16 hours of continuing education every year to retain their status. </span>
Answer:
x'-5x=0, or x''-25x=0, or x'''-125x=0
Step-by-step explanation:
The function 
is infinitely differentiable, so it satisfies a infinite number of differential equations. The required answer depends on your previous part, so I will describe a general procedure to obtain the equations.
Using rules of differentiation, we obtain that 
. Differentiate again to obtain, 
. Repeating this process, 
.
This can repeated infinitely, so it is possible to obtain a differential equation of order n. The key is to differentiate the required number of times and write the equation in terms of x.
