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Sigma Telecom Led. 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 Gops maximum of the previous version. An independent testing laboratory in Oshawa found that a random sample of 17 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 0.005 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 H1: Select an answer ? Which one is the claim? OH1 O Ho 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? Fail to reject Ho and support H1 (claim) O Reject Ho (claim) and support H1 O Reject Ho and fail to support H1 (claim) O Fail to reject Ho (claim) and fail to support H1 (e) Select the correct statement. We are sure that, on average, the speed is between 1.73 Gops and 1.8 Gbps. O We prove that the average speed is still 1.5 Gbps. At 0.005 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. O At 0.005 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 Gbps. O None of the above