A standardized math test was administered to two groups of 5th graders, one group sampled from classes whose teachers had followed the existing curriculum and one group sampled from classes whose teachers had followed a new curriculum, and the scores were compared using a t-test with the following results:   Old Curriculum               New Curriculum Mean                                65.06382979                    66.5106383 Variance                           822.4523589                    127.5161887 Obervations                                      47                                    47 Hypothesized Mean Difference          0 df                                                      60 t Stat                               -0.321814324 P(T<=t)                                          0.37 t Critical one-tail              1.670648865 P(T<=t) two-tail                             0.75 t Critical two-tail               2.000297822 You decide to use the conventional p=.05 as your cutoff for statistical significance.  What do you conclude from this analysis? a.  The wrong t-test was conducted because of the relative sizes of the two groups' variances. b.  We should reject the null hypothesis, which is that the two groups' means are equal in the populaton of 5th graders. c.  We should not reject the null hypothesis, which is that the two groups' means are equal in the population of 5th graders. d.  We should reject the null hypothesis, which is that the two groups'means are not equal in the population of 5th graders.

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A standardized math test was administered to two groups of 5th graders, one group sampled from classes whose teachers had followed the existing curriculum and one group sampled from classes whose teachers had followed a new curriculum, and the scores were compared using a t-test with the following results:   Old Curriculum               New Curriculum

Mean                                65.06382979                    66.5106383

Variance                           822.4523589                    127.5161887

Obervations                                      47                                    47

Hypothesized Mean Difference          0

df                                                      60

t Stat                               -0.321814324

P(T<=t)                                          0.37

t Critical one-tail              1.670648865

P(T<=t) two-tail                             0.75

t Critical two-tail               2.000297822

You decide to use the conventional p=.05 as your cutoff for statistical significance.  What do you conclude from this analysis?

a.  The wrong t-test was conducted because of the relative sizes of the two groups' variances.

b.  We should reject the null hypothesis, which is that the two groups' means are equal in the populaton of 5th graders.

c.  We should not reject the null hypothesis, which is that the two groups' means are equal in the population of 5th graders.

d.  We should reject the null hypothesis, which is that the two groups'means are not equal in the population of 5th graders. 

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