Richard wants to compare the data transfer rate of two internet connections. The difference between the means of samples taken for the two connections is 18 Mbps. The standard deviation of the distribution of the difference between the sample means is 6.64. Which statement is true if we are testing the null hypothesis at the 95% confidence level?

1The difference between the two means is significant at the 95% confidence level, so the null hypothesis must be rejected.

2 The difference between the two means is significant at the 95% confidence level, so the null hypothesis must be accepted

Question

Richard wants to compare the data transfer rate of two internet connections. The difference between the means of samples taken for the two connections is 18 Mbps. The standard deviation of the distribution of the difference between the sample means is 6.64. Which statement is true if we are testing the null hypothesis at the 95% confidence level?

1The difference between the two means is significant at the 95% confidence level, so the null hypothesis must be rejected.

2  The difference between the two means is significant at the 95% confidence level, so the null hypothesis must be accepted

anonymous · Answer

3 The difference between the two means is not significant at the 95% confidence level, so the null hypothesis must be rejected.

4 The difference between the two means is not significant at the 95% confidence level, so the null hypothesis must be accepted.

anonymous · Answer

@amistre64

amistre64 · Answer

weve covered a few of these, what are your thoughts and reasoning?

amistre64 · Answer

how many standard deviation do we have to have, in order to equal the difference of the means?

what is 6.64n = 18, what is n?

anonymous · Answer

I'm choosing between 1 and 2 because the means are significant.

anonymous · Answer

I just don't know if the null hypothsis should be rejected or not.

amistre64 · Answer

whats our null hypot?

amistre64 · Answer

a null hypot always has an equivalnce notion to it.

in this case:

we hypot that u1 = u2, therefore the alternative hypot is that u1 not= u2

amistre64 · Answer

so, if we null hypot that u1 = u2, then we are saying that the difference between them is:

u1 - u2 = 0

anonymous · Answer

So the null hypo is accepted.

amistre64 · Answer

is there a sgnificant difference?

amistre64 · Answer

if 18 is not that bad ... then we fail to reject the null

if 18 is bad ... then we reject the null

anonymous · Answer

18 is significant so the null should be rejected.

amistre64 · Answer

Barb - you are being rude.  do not ask for help, or post your own questions in another persons question.  My time is being spent right now on this question.  When im done, i might be able to help you.

anonymous · Answer

Do u agree with answer 1?

amistre64 · Answer

18 is a significant difference  therefore

null (there is no significant differnce) should be rejected

amistre64 · Answer

1 states that perfectly yes