Eighty-one random people were surveyed about the time it takes to commute to work in the morning. The standard deviation of the simple random sample is 2.3 minutes. The test statistic for the sample is 105.8. Find the critical values, using a significance level of 0.10, needed to test a claim that the standard deviation of all commute times is equal to 2.0 minutes. State the initial conclusion.

The critical values are 101.879 and 60.391.

Step-by-step explanation:

A hypothesis test for variance is performed to test whether the variance of all commute times is equal to 4.0 minutes.

The hypothesis for this test is:

H₀: The variance of all commute times is equal to 4.0 minutes, i.e.σ² = 4.

Hₐ: The variance of all commute times is equal to 4.0 minutes, i.e.σ² ≠ 4.

The test statistic is:

Decision rule:

If the test statistic value is less than or greater than then the null hypothesis is rejected.

The significance level of the test is, α = 0.10.

The degrees of freedom is, n - 1 = 81 - 1 = 80

Compute the critical values as follows:

*Use a Chi-square table.

Thus, the critical values are 101.879 and 60.391.

i think it is everything has to equal 180 so, if i correct 4=c. 6=d. 8=a. 7=b. and the last question would be c. because they are parallel lines and they are congruent.

step-by-step explanation:

the reason everything has to equal to 180 is because that is how it works. i'm guessing that is its rule. 4 and 8 are congruent and parallel so, that would be 30+30 because they have the same number. it would equal 60. 6 and 7 are congruent and parallel so, that would be 30+30 because they have the same number. it would equal 60. 60+60 is 180. so, now you have your answer

step-by-step explanation:

no, her answer is not correct.   we square the lengths of all sides and then determine whether the pythagorean theorem holds here:

9² + 15² = 306.   this is not equal to the square of the longest side ( that square being 395.   answer c is correct.