Answer:
Step-by-step explanation:
Given data and notation
indicates the sample mean
refers to the sample standard deviation
is the sample size
represents the value we are testing.
indicates the significance level for the hypothesis test.
t refers to the statistic of interest.
is the p-value for the test (the variable we are interested in).
Formulate the null and alternative hypotheses.
I will set up the hypotheses to verify if the mean weight falls below 4 ounces, formalizing:
Null hypothesis: 
Alternative hypothesis: 
Since our sample size is < 30 and the population standard deviation is unknown, it’s advisable to utilize a t test to compare the actual mean against the reference value, with the statistic calculated as follows:
(1)
t-test: "This test compares group means and is commonly utilized to determine if the mean is (greater than, less than, or not equal to) a specific value."
Calculate the statistic
We can substitute the provided information into formula (1):
To solve this problem, simply sum all of the grocery expenses and then divide that total by 4...
This can be expressed using the general formula for a² – b².
Answer:
172.7 sqft (square feet)
Step-by-step explanation:
SA = 2(pi)(r)(h) + 2(pi)r^2
Insert the radius and height to derive SA, then multiply by 10 for the total number of fenceposts.
SA= 2(3.14)(.5)(6)
Calculate
SA=14.39166
Then multiply by 12
The result is 172.7 sqft
Hope this helps!
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