Respuesta :
Answer:
[tex]F=\frac{s^2_A}{s^2_B}=\frac{28.284^2}{20^2}=1.99996[/tex]
Step-by-step explanation:
Data given and notation
[tex]n_A = 21[/tex] represent the sampe size for A
[tex]n_B =16[/tex] represent the sample size for B
[tex]s_A = 28.284[/tex] represent the sample deviation for A
[tex]s_B = 20[/tex] represent the sample deviation for B
[tex]\alpha[/tex] represent the significance level provided
F test is a statistical test that uses a F Statistic to compare two population variances, with the sample deviations s1 and s2. The F statistic is always positive number since the variance it's always higher than 0. The statistic is given by:
[tex]F=\frac{s^2_1}{s^2_2}[/tex]
Solution to the problem
System of hypothesis
We want to test if we have the same variation, so the system of hypothesis are:
H0: [tex] \sigma^2_A = \sigma^2_B[/tex]
H1: [tex] \sigma^2_A \neq \sigma^2_B[/tex]
Calculate the statistic
Now we can calculate the statistic like this:
[tex]F=\frac{s^2_A}{s^2_B}=\frac{28.284^2}{20^2}=1.99996[/tex]
In order to determine whether the variance of the sale of 2 small grocery stores is equal. As per the question answer will be F = 1.99.
The sample of 21 days is used for sales at a store where the A is a sample and the 16 days of the sale in store B.
- They have values of n A 21, NB 16, SA 28.284 SB of 20.
- The test statics is the F test. F test s a distribution under the null hypothesis It's used to compare the statistical models and identify the by fit of the population.
Learn more about the interest in determining.
brainly.com/question/14310031.
