In problem that he ate. We have some deter on the old production yield by Eka for 39 countries from the 68 upper Midwest area of the United States, and we're going to use this data to tell whether there's a significant difference in the many illiterates. For the sixth. It's so these are the six categories here, the six sticks and we're going to be using Alfa. It could 0.5 okay, so to tell whether there's a significant difference in the means yield rates for the sixth, it's would have to perform analysis of variance. So we go to data, deter analyses, a nova single factor, then press OK, then for the it would change. We want to select the data for the sixth. It's you need to ignore the last the fast column because it's just available. Then they would want to ensuring that the details group by columns, and that the Liberals and Fast Room and the half A 0.6 and the outputs should be right next to the details that sell any press with King. And these are the results with the analysis of variance at the 0.0 point 05 Significant comes now we check the Peabody and the Peabody for this deter is 0.9 5879 and the offer is 0.5 So because the P value is greater than the level of significance Alice what? He failed to reject the night services. So this indicates that oh, from the sample, there's no the evidence is not enough evidence to show that there is a significant difference in the mean yield rates For the sixth. It's next part b of the question the good to drug ra that demonstrates the results founding. But and the best graph here would be a box plot. So we need to select the six columns and then we go to incite and you pick these box and whisker. Dad grabbed. Okay, so the box and whisker diagram here with box blood side by side box plot is showing us the the results, and we're going to explain the meaning off the results using the graft. So, as you can see, the grass are somewhat showing very slight differences between the six, uh, six regions. So, as you can see here they is a lot of overlapping to even the first US, the first region on a The rest of the regions are not so different from each other at 0.5 level of significance.