Answer:
1 : 9
Step-by-step explanation:
Given 2 similar figures with sides in ratio a : b , then
ratio of areas = a² : b²
Here the ratio of sides = 1 : 3 , thus
ratio of areas = 1² : 3² = 1 : 9
The outlier in the data set is 5
Answer: D. 3 2/3 - 2
Step-by-step explanation: If you add up all of the boxes, you get 3 4/6, which is simplified to 3 2/3. Then, subtract the marked boxes (which equal 1 2/3) from 3 2/3 and you get 2. Hence, your answer: 3 2/3 - 2 (= 1 2/3)
Answer:
Now we can calculate the p value but first we need to calculate the degrees of freedom for the statistic. For the numerator we have
and for the denominator we have
and the F statistic have 15 degrees of freedom for the numerator and 15 for the denominator. And the P value is given by:
For this case the p value is highert than the significance level so we haev enough evidence to FAIL to reject the null hypothesis and we can conclude that the true deviations are not significantly different
Step-by-step explanation:
Information given
represent the sampe size 1
represent the sample 2
represent the sample deviation for 1
represent the sample variance for 2
represent the significance level provided
The statistic is given by:
Hypothesis to test
We want to test if the variations in terms of the variance are equal, so the system of hypothesis are:
H0:
H1:
The statistic is given by:
Now we can calculate the p value but first we need to calculate the degrees of freedom for the statistic. For the numerator we have
and for the denominator we have
and the F statistic have 15 degrees of freedom for the numerator and 15 for the denominator. And the P value is given by:
For this case the p value is highert than the significance level so we haev enough evidence to FAIL to reject the null hypothesis and we can conclude that the true deviations are not significantly different