Asample of 65 observations is selected from one population with a population standard deviation of 0.75. the sample mean is 2.67. a sample of 50 observations is selected from a second population with a population standard deviation of 0.66. the sample mean is 2.59. conduct the following test of hypothesis using the .08 significance level. here the null hypothesis and alternative hypothesis are h0: µ1 is less than or equal to µ2ha: µ1is greater than µ2a. is this a one-tailed or a two-tailed test? b. state the decision rule. c. compute the value of the test statistic. d. what is your decision regarding h0? e. what is the p-value?

Each of the following data sets has a mean of x = 10. (i) 8 9 10 11 12 (ii) 7 9 10 11 13 (iii) 7 8 10 12 13 (a) without doing any computations, order the data sets according to increasing value of standard deviations. (i), (iii), (ii) (ii), (i), (iii) (iii), (i), (ii) (iii), (ii), (i) (i), (ii), (iii) (ii), (iii), (i) (b) why do you expect the difference in standard deviations between data sets (i) and (ii) to be greater than the difference in standard deviations between data sets (ii) and (iii)? hint: consider how much the data in the respective sets differ from the mean. the data change between data sets (i) and (ii) increased the squared difference îł(x - x)2 by more than data sets (ii) and (iii). the data change between data sets (ii) and (iii) increased the squared difference îł(x - x)2 by more than data sets (i) and (ii). the data change between data sets (i) and (ii) decreased the squared difference îł(x - x)2 by more than data sets (ii) and (iii). none of the above