The internet provider claims that their router gives a speed of 25 Mbps with a standard deviation of 4.8 Mbps. The computer engineer wants to check whether the speed is different than what the provider claims. For this study, the engineer collects the speed of 40 routers and found that the average speed is 23.2 Mbps for those 40 routers. Plot the acceptance and rejection region for a two-sided test to test the claim of engineer with 90% confidence.
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37. Normally the mean speed of cable internet in the Apartment you are living now is 35 MBps. The internet provider, Sudden Link charged you more for the last month claiming that the mean speed of your cable Internet connection is more than 35 MBps per second. Ofcourse, you are skeptical, so you went ahead and collected your daily internet usage data for the last 30 days. Data looks like 37, 50, 32, 40, 42, 28, 33, You calculated the average usage of your sample to be 36.2 and you calculated the standard deviation of the sample, 4.23.
Answer the following and the next 5 questions. What is the appropriate Null and Alternative Hypothesis.
(a) Ho : X = 35 vs H₁ : X > 35
(b) Ho: X < 35 vs H₁ : X = 35
(c) Ho = 35 vs H₂ : μ> 35
(d) Ho: μ< 35 vs Ha : μ = 35
38. After choosing the appropriate test, What do you conclude?
(a) The pvalue is 0.066, and we reject the null claim at 5% level
(b) The pvalue is 0.934, and we reject the null claim at 5% level
(c) The pvalue is 0.066, and we fail to reject the null claim at 5% level
(d) The pvalue is 0.934, and we fail to reject the null claim at 5% level
39. Suppose the suddenLink manager asked you to provide a 95% confidence interval for the true mean speed of the Internet based on your sample. What should be your answer?
(a) 4.32 36.2±1.96 x 432 √30
(b) 36.22.045 x 4.32 √30
(c) 351.96 x 4.32 ✓30
(d) 35 +2.045 × 30 4.32