Question

In: Statistics and Probability

A researcher wants to test if the mean G.P.A. of CC students transferring to Sac State...

A researcher wants to test if the mean G.P.A. of CC students transferring to Sac State is above 3.3. She randomly samples 25 CC students and finds that their average G.P.A. is 3.45. Assuming that the standard deviation of G.P.A.’s is 0.5, what can the researcher conclude at the 5% significance level?

Solutions

Expert Solution

: Mean GPA of CC students

Null hypothesis : Ho : = 3.3

Alternate hypothesis : Ha: > 3.3

Right tailed test:

Hypothesized mean : = 3.3

Given,

Number of students in the sample : sample size : n=25

Sample average GPA : sample mean : = 3.45

standard deviation of G.P.A.’s is 0.5 i.e Population standard deviation : = 0.5

For right tailed test :

p-value = 0.0668

Level of significance : = 0.05

As P-Value i.e. is greater than Level of significance i.e (P-value:0.0668 > 0.05:Level of significance); Fail to Reject Null Hypothesis
There is not sufficient evidence to conclude that mean G.P.A. of CC students transferring to Sac State is above 3.3


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