1. Internet users for two service providers were sampled to...

1. Internet users for two service providers were sampled to study the difference in download speeds between the providers. For each provider, 25 users reported the download speed (in mb/sec) for a test file, and the data are summarized below. Mean Stddev Size ISP 1 40.2 6.5 25 ISP 2 42.5 7.1 25 (a) 3pts—State the appropriate hypotheses to test whether there is a difference between the two speeds on average. Define any parameter(s) used. (b) 5pts—Carry out the test of the hypotheses above using ? = .05. Report your test statistic and conclusion. State any assumptions you make about the data.

Transcript

00:01 Hi, i'm david and i'm here to have you and see your question.

00:03 Now let me bring up your question here.

00:06 In the question here, we want to perform the hybrid testing to test the difference in the load split between the provider for each provider.

00:17 And here we're given in the question here, we have the ibs 1 and isp2.

00:25 We have the two commoner providers and we will in the question, are you? that's going to write down the null and alternative hypothesis.

00:34 And it will bid the mu.

00:36 1, it will equal to the mu 2 versus the alternative hypothesis, m1 will not equal to the m2.

00:43 And then the parameter is used here will be the mean.

00:48 So the parameter, it will be the mean, m1 and the m2.

00:58 And then for the question b, we need to conduct the hybrid testing.

01:03 Using the unfind equal to the 0 .05.

01:06 In the equation, we're given the n1 equal to the 25 each.

01:13 And then we're given the x bar 1 equal to the 40 .2, the s1, it will equal to the 6 .5.

01:26 And n2 equal to the 25 x bar 2 equal to the 42 .5.

01:35 5 and the s2 equal to the 7 .1.

01:41 Now the first time we need to do, based on this summary here, we need to find the test statistics, but we have to assume here equal variance.

01:56 And that will be the only assumption we need to use in it to confine the test statistics.

02:02 Here the test statistics denoted by the t, the formula will be the xx by 1 minus the x part 2, divided by the pune standard division of the square of the n1 plus one over n2.

02:17 When the formula for the sp equal to the square root of the n1 minus 1 times the s1 square plus n2 minus 1 times s2 square, divided with n1 plus n2 minus 2.

02:30 Now if we're looking the value, we have both n1 and n2 equal to each other.

02:35 Minus only be the 24 and we factor the 24 outside inside we have the 6 .5 square plus 7 .1 square divided by the 25 plus 25 minus 2...

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