Tilda Telecom Ltd. claims that, on average, their new design for a wireless router has increased the speed to at least 1.? Gbps, a big improvement over 1.5 Gbps maximum of the previous version. An independent testing laboratory in Brampton found that a random sample of 11} of the newest version routers delivered speed of 1.63 Gbps, on average, with a standard deviation of 1.1.1 th5. Test the manufacturer's claim using a H.015 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 vmich one is the claim and type of the test. JigI: JanI: Which one is the claim? 0H0 0H1 Means _ For parts {b}, {:1 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? {3' Reject Ha {claim} and support H1 0 Reject Hg and fail to support H1 [claim] 0 Fail to reject Ha {claim} and fail to support HI {3' Fail to reject H" and support H1 {claim} {e} Select the correct statement. D At 0.015 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.? l1.\":bps. C} We prove that the average speed is still 1.5 Gbps. C} At 0.015 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.? Gbps. C} We are sure that, on average, the speed is between 11.3 Gbps and 1.? lifubps. {3' None of the above