Helmet Telecom Ltd. claims that, on average, their new design for a…
Question Answered step-by-step Helmet Telecom Ltd. claims that, on average, their new design for a… Helmet Telecom Ltd. claims that, on average, their new design for a wireless router has increased the speed to at least 1.70 Gbps, a big improvement over 1.50 Gbps maximum of the previous version. An independent testing laboratory in Hamilton found that a random sample of 12 of the newest version routers delivered speed of 1.64 Gbps, on average, with a standard deviation of 0.09 Gbps. Test the manufacturer’s claim using a 0.03 significance level. Assume that the speeds are approximately normally distributed as the histogram of the sample values is roughly symmetric and bell-shaped, so t-distribution is applicable for hypothesis testing.Round to 3 decimal places where appropriate.(a) State the null and alternative hypotheses; identify which hypothesis is the claim and what is the type of the test.H0H0: Select an answer σ p x̄ s μ ? ≥ = < ≠ > ≤ H1H1: Select an answer p σ s μ x̄ ? ≤ < > ≠ ≥ = Which one is the claim?H1H1H0H0The test is Select an answer two-tailed right-tailed left-tailed .For parts (b), (c) use the correct sign for the critical t-value and test statistic.(b) What is the critical t-value? (c) What is the test statistic?(d) Is the null hypothesis rejected? Is the alternative hypothesis supported?Reject H0H0 and fail to support H1H1 (claim)Fail to reject H0H0 (claim) and fail to support H1H1Fail to reject H0H0 and support H1H1 (claim)Reject H0H0 (claim) and support H1H1(e) Select the correct statement.We prove that the average speed is still 1.50 Gbps.At 0.03 significance level, there is not sufficient evidence to warrant rejection of the claim that, on average, the new wireless router has increased the speed to at least 1.70 Gbps.At 0.03 significance level, there is sufficient sample evidence to warrant rejection of the claim that, on average, the new wireless router has increased the speed to at least 1.70 Gbps.We are sure that, on average, the speed is at most 1.50 Gbps.None of the above. Math Statistics and Probability STATS 1112 Share QuestionEmailCopy link Comments (0)
