One way to observe the skewness of a data set is to find the quartiles: Q₁, Q₂, Q₃ and then sketch the box plot
We have the data set already in ascending order, so finding the quartiles is quite straight forward.
We have Q₁ = 2, Q₂ = 3, Q₃ = 5 (refer to the first picture below)
The box plot is given in the second picture and from this plot, we can see that the data tail slightly on the right, and this shows a positive skew.
Answer:
28a³ - 5a² - 23a - 5
Step-by-step explanation:
FOIL and Distribute Parenthesis
Step 1: Write out expression
(4a + 1)(7a² - 3a - 5)
Step 2: Distribute 4a
28a³ - 12a² - 20a
Step 3: Distribute 1
7a² - 3a - 5
Step 4: Combine
28a³ - 12a² - 20a + 7a² - 3a - 5
Step 5: Combine like terms
28a³ - 5a² - 23a - 5
Answer:
For this case the p value calculated is higher than the significance level used of 0.05 so then we have enough evidence to FAIL to reject the null hypothesis and the best conclusion for this case would be:
a) do not reject the null hypothesis and conclude that the mean IQ is not greater than 100
Step-by-step explanation:
Information given
We want to verify if he mean IQ of employees in an organization is greater than 100 , the system of hypothesis would be:
Null hypothesis:
Alternative hypothesis:
The statistic for this case is given by:
(1)
The statistic calculated for this case 
The degrees of freedom are given by:
Now we can find the p value using tha laternative hypothesis and we got:
For this case the p value calculated is higher than the significance level used of 0.05 so then we have enough evidence to FAIL to reject the null hypothesis and the best conclusion for this case would be:
a) do not reject the null hypothesis and conclude that the mean IQ is not greater than 100
Answer:
blue
Step-by-step explanation: