Test the claim that the mean GPA of Orange Coast students is larger than the mea

Question

Test the claim that the mean GPA of Orange Coast students is larger than the mean GPA of Coastline students at the 0.01 significance level. The null and alternative hypothesis would be: The test is: The sample consisted of 80 Orange Coast students, with a sample mean GPA of 2.55 and a standard deviation of 0.04, and 80 Coastline students, with a sample mean GPA of 2.52 and a standard deviation of 0.03. (to 2 decimals) The test statistic is: The p-value is: Based on this we: (to 2 decimals) Reject the null hypothesis Fail to reject the null hypothesis Points possible: 2 This is attempt 1 of 3. FOF 4) #7 delete 7 0

Explanation / Answer

Solution :

The Null and alternative hypothesis would be:

• (Option 4)

Ho: µo ? µc

H1: µo > µc

The test is :

• Right tailed test

Sample mean 1 = 2.55

Sample mean 2 = 2.52

Sample size n1= n2= 80

S1=0.04

S2=0.03

• The test statistic is : 5.37

• The p value is : 0.00

Based on this value:

• Reject the Null Hypothesis

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