(05.01)A company makes triangular plates for individual slices of pizza. For each plate, the base is 7 inches and the height is
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Answer:
The standard deviation of the data set is .
Step-by-step explanation:
The Standard Deviation is a measure of how spread out numbers are. Its symbol is σ (the greek letter sigma)
To find the standard deviation of the following data set
we use the following formula
Step 1: Find the mean .
The mean of a data set is the sum of the terms divided by the total number of terms. Using math notation we have:
Step 2: Create the below table.
Step 3: Find the sum of numbers in the last column to get.
Step 4: Calculate σ using the above formula.
Answer:
Step-by-step explanation:
Hello!
Given the linear regression of Y: "Annual salary" as a function of X: "Mean score on teaching evaluation" of a population of university professors. It is desired to study whether student evaluations are related to salaries.
The population equation line is
E(Y)= β₀ + β₁X
Using the information of a n= 100 sample, the following data was calculated:
R²= 0.23
Coefficient Standard Error
Intercept 25675.5 11393
x 5321 2119
The estimated equation is
^Y= 25675.5 + 5321X
Now if the interest is to test if the teaching evaluation affects the proffesor's annual salary, the hypotheses are:
H₀: β = 0
H₁: β ≠ 0
There are two statistic you can use to make this test, a Student's t or an ANOVA F.
Since you have information about the estimation of β you can calculate the two tailed t test using the formula:
~
= 25.1109
The p-value is two-tailed, and is the probability of getting a value as extreme as the calculated under the distribution
p-value < 0.00001
I hope it helps!