Find the approximate side length of a square game board with an area of 179in ^2.
2 answers:
Answer:
13.38 in
Step-by-step explanation:
The area of a square can be found using the following formula.
where a is the area and s is the side length.
We know that the area of the square is 179 in^2. We can substitute that value in for a.
We want to find the side length. Therefore, we have to isolate the variable, s.
s is being squared. The inverse of a square is the square root. Take the square root of both sides of the equation.
We want to find the approximate side length. Round to the nearest hundredth. The 9 in the thousandth place tells us to round the 7 to a 8,
The side length of the board game is about 13.38 inches.
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Answer:
A. As we are trying to test if the two processes yield different average errors, we are interested in any of the two posibilities: the average error of process A being statistically significant lower or bigger than the average error of Process B. That is why this is a two-tailed test.
B. t=-3.144
C. The critical value for a significance level of 0.05, a two tailed test with 4 degrees of freedom is t=±2.064.
D. P-value = 0.004
E. Reject H0
F. The probability of making a Type I error is equal to the significance level: P(Type I error) = 0.05.
Step-by-step explanation:
This is a hypothesis test for the difference between populations means.
The claim is that the two processes yield different average errors.
As we are trying to test if the two processes yield different average errors, we are interested in any of the two posibilities: the average error of process A being statistically significant lower or bigger than the average error of Process B. That is why this is a two-tailed test.
Then, the null and alternative hypothesis are:
being μ1: average error for Process A and μ2: average error fo Process B.
The significance level is 0.05.
The sample 1, of size n1=12 has a mean of 2 and a standard deviation of 1.
The sample 1, of size n1=14 has a mean of 3 and a standard deviation of 0.5.
The difference between sample means is Md=-1.
The estimated standard error of the difference between means is computed using the formula:
Then, we can calculate the t-statistic as:
The degrees of freedom for this test are:
The critical value for a significance level of 0.05, a two tailed test with 4 degrees of freedom is t=±2.064.
This test is a two-tailed test, with 24 degrees of freedom and t=-3.144, so the P-value for this test is calculated as (using a t-table):
As the P-value (0.004) is smaller than the significance level (0.05), the effect is significant.
The null hypothesis is rejected.
There is enough evidence to support the claim that the two processes yield different average errors.
Answer:
Step-by-step explanation:
This explains step by step
Hope this helps! <3 -K
