Acommonly cited standard for one-way length (duration) of school bus rides for elementary school children is 30 minutes. a local government office in a rural area randomly samples 100 elementary school children in their district and find an average one-way commute time of 38 minutes with a standard deviation of 8 minutes. which of the following is the correct set of hypotheses for testing if the average commute time of elementary school students in this district is different than the commonly cited standard of 30 minutes? h0: x = 38; ha: μ = 30

h0: μ = 30; ha: μ ≠ 30

h0: μ = 30; ha: x = 38

ha: μ = 30; h0: x ≠ 30

h0: μ = 30; ha: μ > 30

H0: μ = 30; HA: μ ≠ 30

Step-by-step explanation:

1) Data given and notation    

represent the mean of one way conmute time repellent for the sample    

represent the sample standard deviation

sample size  

represent the value that we want to test  

not given represent the significance level for the hypothesis test.  

t would represent the statistic (variable of interest)    

represent the p value for the test (variable of interest)

2) State the null and alternative hypotheses.    

We need to conduct a hypothesis in order to determineif the average commute time of elementary school students in this district is different than the commonly cited standard of 30 minutes, the system of hypothesis would be:    

Null hypothesis:    

Alternative hypothesis:    

We don't know the population deviation, so for this case is better apply a t test to compare the actual mean to the reference value, and the statistic is given by:    

(1)    

t-test: "Is used to compare group means. Is one of the most common tests and is used to determine if the mean is (higher, less or not equal) to an specified value".

3) Calculate the statistic    

We can replace in formula (1) the info given like this:    

4) Calculate the P-value    

First we need to calculate the degrees of freedom given by:

Since is a one-side upper test the p value would be:    

In Excel we can use the following formula to find the p value "=2*(1-T.DIST(10,99,TRUE))"  

5) Conclusion    

If we compare the p value and if we use a significance level, for example we see that so we can conclude that we reject the null hypothesis, so we can conclude that the average commute time of elementary school students in this district is different than the commonly cited standard of 30 minutes at 0.05 of signficance.    

i'm not sure what you mean but in todays world there is a lot of women that are the bread winners in the family. there is a lot more single mothers now that are going back to get an education which is boosting the economy. i believe there has been a boost in the economy due to women the cosmetic industry is boosting, chemist, the sky is becoming the limit for women in todays economy. most women are also putting off having kids just to make sure they have a education. i don't know how these two relate though to scriptures because it's not the way the lord wanted it. the man is suppose to be the bread winner and due to social media and the easy access we have there is a lot of cheating going on.

step-by-step explanation:

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step-by-step explanation: