A seed company is developing many strains of tomatoes byselective breeding. Trials of two similar but not identical strainswith favorable qualities were done in two fields under similarconditions. The company would like to know if the populationaverage weight of tomato for strain 2 (u2) is statisticallysignificantly larger than the population average weight for stain 1(u1). Consequently they picked at random 15 tomatoes from the fieldwith strain 1 and 14 from the field with strain 2 and weighedthem.
Weight grams:
strain 1
132, 68, 74, 93, 61, 81, 62, 68, 103, 72, 64, 104, 62, 86,95.
strain 2
40, 88, 112, 127, 114, 124, 95, 125, 989, 86, 142, 130, 70,81.
Does the strain 2 have significantly greater mean weight thanfor strain 1? Test this hypothesis at the alpha = 0.01 and 0.05levels, using the two samples. Make the assumption that the weightis distributed normally in both populations with equal variances.You will be testing u1 vs u2.
1) Which diagram shows reject/ fail to reject regions for thisproblem?
2) what is the test statistic is use for question?
3) compute the sample means and standard deviations that youwill need for 5 &6.
4) what is the test statistic value computed from the data inquestion 1 &3?
5) if the level of significance alpha is .01 state the criticalvalues which you would use relevant to questions 1&4.
6) if the level of significance alpha is 0.05 state the criticalvalue which you would use relevant to questions 1 and4.
