SOLUTION: A researcher knows that the population mean among college students taking the Social Conformity Test is a "neutral" 100. (scores higher than 100 are assumed to represent more confo

Question 446385: A researcher knows that the population mean among college students taking the Social Conformity Test is a "neutral" 100. (scores higher than 100 are assumed to represent more conformity than average, and those lower than 100 indicate less conformity). A random sample of 30 students was selected, and the following values were recorded:
sample mean = 103
sample standard deviation= 10.83
Is this sample significantly different than the population?
State the null and alternative hypotheses.
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
A researcher knows that the population mean among college students taking the Social Conformity Test is a "neutral" 100. (scores higher than 100 are assumed to represent more conformity than average, and those lower than 100 indicate less conformity).
A random sample of 30 students was selected, and the following values were recorded:
sample mean = 103
sample standard deviation= 10.83
Is this sample significantly different than the population?
State the null and alternative hypotheses.
----
Ho: u = 100
Ha: u is not equal to 100 (the sample is significantly different)
---------
t(103) = (103-100)/[10.83/sqrt(30)] = 1.5172..
---
p-value = 2P(t>1.5172 when df = 29) == 2*0.07 = 14%
----
Since the p-value is greater than 5%, fail to reject
Ho at the 5% level of significance.
The sample is not significantly different than the population.
===========================
Cheers,
Stan H.
RELATED QUESTIONS
Assume that scores on a widely used standardized test are normally distributed with a... (answered by ewatrrr)

A researcher believes that smoking affects a person’s sense of smell. To test this, he... (answered by Boreal)

A researcher wants to determine a 95% confidence interval for the mean number of hours... (answered by ewatrrr)

There are 1500 juniors in a college. Among the 1500 juniors, 200 students are taking... (answered by psbhowmick)

Numerous studies have shown that IQ scores have been increasing, generation by... (answered by stanbon)

Please help me solve this problem. The combined math and verbal scores for students... (answered by ewatrrr,Theo)

An educational researcher is analyzing the test scores for physics students taught using (answered by )

In aa U.S. shchool distrct, a standrdized reading test is used to test the performance of (answered by stanbon)

Suppose that from the past experience a professor knows that the test score of a student... (answered by Boreal)