1. The average standardized math score for eighth graders in the state of California is 70. We
want to find out if the average standardized math score in district A is higher than the average
score for the state of California. The mean for a random sample of 36 students from this district is
72 with deviation = 10
a.
The pvalue is around 0.24 and it is concluded that the average standardized math score
in this district is not higher than the overall population mean
b.
The pvalue is around 0.76 and it is concluded that the average standardized math score
in this district is not different from the overall population mean
c.
The pvalue is around 0.88 and it is concluded that the average standardized math score
in this district is not higher than the overall population mean
d.
The pvalue is around 0.12 and it is concluded that the average standardized math score
in this district is not higher than the overall population mean
2. Statistics show that the average level of a mother's education for a city of 300,000 people is 14
years. A major state university is located in this town. The administrators in this university think
that the average level of a mother's education for the freshmen who are admitted to this school is
higher than 14 years. The average education level of mothers for a random sample of 100
freshmen who were admitted to this university within the last two years was 14.7 years with
deviation of 1.5 years. We want to test the null at the level of alpha = 0.01. What is the best
answer?
a.
In order to be certain about the conclusion we reach, a larger sample size is needed to
increase the power of the test and the margin of error
b.
We reject the null at 0.01 and conclude that the average level of a mother's education is
higher for university freshmen
c.
We reject the alternative and believe that the level of a mother's education for university
freshmen is not higher than the overall population average
d.
We fail to reject the null and conclude that the level of a mother's education for university
freshmen is not higher than the overall population average
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 Winter '08
 Ioudina
 Statistics, Statistical hypothesis testing, average standardized math, standardized math score

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