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hope this helps I found this in my notes and looked it up to see if its correct .
Using the z-distribution, it is found that the p-value for this test is of 0.0375.
At the null hypothesis, it is <u>tested if the expenses are the same as the national average</u>, that is, of $5,423. Hence:
At the alternative hypothesis, it is <u>tested if it is higher</u>, hence:
We have the <u>standard deviation for the population</u>, thus, the z-distribution is used. The test statistic is given by:
The parameters are:
is the sample mean.
is the value tested at the null hypothesis.
is the standard deviation of the sample.
- n is the sample size.
For this problem, the values of the <u>parameters</u> are:
The value of the <u>test statistic</u> is:
The p-value is the probability of finding a sample mean above $5,516, which is <u>1 subtracted by the p-value of z = 1.78</u>.
- Looking at the z-table, z = 1.78 has a p-value of 0.9625.
1 - 0.9625 = 0.0375
Hence, the p-value for this test is of 0.0375.
A similar problem is given at brainly.com/question/25549474
Answer:
351π ft³
Step-by-step explanation:
Volume of a Cone is:
Where r is the radius and h is the height.
The cone's radius is 9 while the height is 13.
The volume of the cone in exact form is 351π ft³.