Mean and standard deviation

Running head: Analytic Thinking 1
Analytic Thinking
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Analytic Thinking
2
Question 1
Correctly answered questionsCorrect questions summary
statistics
Mean
7.6085626
91
Standard Error
0.0887626
15
Median 8
Mode 8
Standard
Deviation
1.6051069
04
Sample
Variance
2.5763681
73
Count 327
Table 1
Question 2
Hypothesis
H0: μ = 4.5
H1: μ > 4.5
α.= 0.05
Table of results
t-Test: One Sample for Means
correct
questions
Mean 7.608562691
Variance 2.576368173
Observations 327
Hypothesized Mean
Difference 4.5
df 326
t Stat 35.02108072
P(T<=t) one-tail 8.1697E-113
t Critical one-tail 1.649541157
P(T<=t) two-tail 1.6339E-112
t Critical two-tail 1.967267522
Table 2

Analytic Thinking
3
From the table of results above, it can be observed that the p-value is 0.00. This is less than the
level of significance which is 0.05. This therefore means that we reject the null hypothesis and
conclude that the mean number of correct scores is greater than 4.5.
Question 3
Mean and standard deviation for odd and even correctly answered questionsOdd correct questions
(COND 2)
Even correct questions
(COND 1)
Mean
7.786516
854 Mean
7.255813
953
Standard Deviation
1.640897
136 Standard Deviation
1.681638
182
Table 3
Question 4
Difference for the mean test scores between odd and even correct questions
Hypothesis
H0: There is no difference in the mean score between odd and even correct questions
H1: There is a significant difference in the mean score between odd and even correct questions
α.= 0.05
Table of results
t-Test: Two-Sample Assuming Equal
Variances
Odd correct
questions
Even correct
questions
Mean 7.456790123 7.776397516
Variance 2.597500192 2.549689441
Observations 89 86
Pooled Variance 2.573669288
Hypothesized Mean Difference 0
df 321
t Stat -1.790233293
P(T<=t) one-tail 0.037179372
t Critical one-tail 1.649614384