Sigma Telecom Ltd. claims that, on average, their new design for a wireless router has increased the speed to at least 1.8 Gbps, a big improvement over 1.5 Gbps maximum of the previous version. An independent testing laboratory in Hamilton found that a random sample of 19 of the newest version routers delivered speed of 1.73 Gbps, on average, with a standard deviation of 0.1 Gbps. Test the manufacturer's claim using a 0.04 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 one is the claim and type of the test. Ho: Select an answer V ? V H: Select an answer V ? V Which one is the claim? O Ho OH, The test is |Select an answer V ] . 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? O Fail to reject Ho and support Hi (claim) O Reject Ho and fail to support H1 (claim) OFail to reject Ho (claim) and fail to support HI O Reject Ho (claim) and support HI (e) Select the correct statement. O We are sure that, on average, the speed is between 1.73 Gbps and 1.8 Gbps. O We prove that the average speed is still 1.5 Gbps. O At 0.04 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 1.8 Gbps. At 0.04 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 1.8 Gops. None of the above