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 75.31914894 75.4893617 Variance 118.613321 33.8640148 Obervations 47 47 Hypothesized Mean Difference 0 df 70 t Stat -0.094501437 P(T<=t) 0.46 t Critical one-tail 1.666914479 P(T<=t) two-tail 0.92 t Critical two-tail 1.994437112 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 population 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. e. We should not reject the null hypothesis, which is that the two groups' means are not equal in the population of 5th graders.
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 75.31914894 75.4893617
Variance 118.613321 33.8640148
Obervations 47 47
Hypothesized Mean Difference 0
df 70
t Stat -0.094501437
P(T<=t) 0.46
t Critical one-tail 1.666914479
P(T<=t) two-tail 0.92
t Critical two-tail 1.994437112
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 population 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.
e. We should not reject the null hypothesis, which is that the two groups' means are not equal in the population of 5th graders.
Given information
Mean 75.31914894 75.4893617
Variance 118.613321 33.8640148
Obervations 47 47
Hypothesized Mean Difference 0
df 70
t Stat -0.094501437
P(T<=t) 0.46
t Critical one-tail 1.666914479
P(T<=t) two-tail 0.92
t Critical two-tail 1.994437112
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