Atextbook company states that the average time a student needs to take a quiz from its book is 30 minutes with a standard deviation of 3 minutes. a teacher using the book is not sure that this is correct for her classes and wants to check. she collects data on 10 random students and finds that the average time to take the quiz was only 25 minutes. as a result, the teacher performs a two-tailed hypothesis test with a significance level of 5%. which conclusion is valid based on the results of the test?

We accept the alternate hypothesis and the teacher was correct in claiming that the mean time to attempt quiz is not 30 minutes. Step-by-step explanation:

We are given the following in the question:

Population mean, μ = 30 minutes

Sample mean, = 25 minutes

Sample size, n = 10

Alpha, α = 0.05

Population standard deviation, σ = 3 minutes

First, we design the null and the alternate hypothesis

We use Two-tailed t test to perform this hypothesis.

Formula:

Putting all the values, we have

Now,

Since,  

We reject the null hypothesis and fail to accept it.

We accept the alternate hypothesis and the teacher was correct in claiming that the mean time to attempt quiz is not 30 minutes.

europa2433

europa2433

step-by-step explanation:

statement #3: proof- ang is congruent to ang ecd : angles are congruent.  

step-by-step explanation:

1: the missing angles in statement #3  

a.) acb  

reason- the reason why the answer is acb is because angle ecd and angle acb are both the same size *that's what the word congruent means this is really simple.  

2: the missing word in reason #3  

c.) vertical  

reason- the reason why the answer is vertical is because the angles in that diagram on figure 2 is slanted, which is vertical, and the e and a both lay on vertical lines. along with the other's, but e and a are the 2 main points you want to focus on. and c is kind of like your starting point, because c is for both angles, not just one.  

i hope that was and understanding.