Use or = 0.05 to test for any signicant difference in the means for the three assembly methods. State the null and alternative hypotheses. Ho: i'1 = I\": = \"3 Ha: #1 =_u2 1=p3 '12} H0: Not all the population means are equal. Hal \"1 Z I\": Z \"3 H0: #1 #142 at p3 Ha: #1 = #2 = .143 133' H0: #1 2 p2 = .u.) _I Ha: Not all the population means are equal. EH0: at least two of the population means are equal. Ha: At least two of the population means are different. Find the value of the test statistic. (Round your answer to two decimal places.) E Find the p-value. {Round your answer to four decimal places.) State you r conclusion. '33} Do not reject Ho' There is sufficient evidence to conclude that the means of the three assembly methods are not equal. '12} Do not reject HQ. There is not sufficient evidence to conclude that the means of the three assembly methods are not equal. '32} Reject Hg. There is not sufcient evidence to conclude that the means of the three assembly methods are not equal. '12} Reject \"(3' There is sufficient evidence to conclude that the means of the three assembly methods are not equal. An amusement park studied methods for decreasing the waiting time (minutes) for rides by loading and unloading riders more efficiently. Two alternative loadingfunloading methods have been proposed. To account for potential differences due to the type of ride and the possible interaction between the method of loading and unloading and the type of ride, a factorial experiment was designec. Use the following data to test for any.r significant effect due to the loading and unloading method, the type of ride, and interaction. Use or = 0.05. Type of Ride Roller Coaster Screaming Demon Log Flume 43 5c: 5-: Method 1 45 42 46 47 52 43 Method 2 49 4s 4d Find the value of the test statistic for method of loading and unloading. |:| Find the ll:I-\\.ralue for method of loading and unloading. (Round your answer to three decimal places.) State your conclusion about method of loading and unloading. '3.:.3' Because the pivalue E a = 0.05, method of loading and unloading is not significant. Because the pvalue S a = 005, method of loading and unloading is significant. '3._.-' Because the pivalue > a = 0.05, method of loading and unloading is significant. '22} Because the pvalue > a = 005, method of loading and unloading is not significant