Test the claim that the mean GPA of night students is smaller than 2.6 at the 0.
ID: 2948562 • Letter: T
Question
Test the claim that the mean GPA of night students is smaller than 2.6 at the 0.025 significance level.
The null and alternative hypothesis would be:
H0:p?0.65
H1:p<0.65
H0:??2.6
H1:?>2.6
H0:?=2.6
H1:??2.6
H0:??2.6
H1:?<2.6
H0:p?0.65
H1:p>0.65
H0:p=0.65
H1:p?0.65
The test is:
right-tailed,two-tailed, or left-tailed
Based on a sample of 50 people, the sample mean GPA was 2.55 with a standard deviation of 0.07
The p-value is: (to 2 decimals)
Based on this we:
Reject the null hypothesis or Fail to reject the null hypothesis
Explanation / Answer
The statistical software output for this problem is:
One sample T summary hypothesis test:
? : Mean of population
H0 : ? = 2.6
HA : ? < 2.6
Hypothesis test results:
Hence,
Hypotheses:
H0:??2.6
H1:?<2.6
The test is left - tailed
p-value = 0.00
Reject the null hypothesis
Mean Sample Mean Std. Err. DF T-Stat P-value ? 2.55 0.0098994949 49 -5.0507627 <0.0001Related Questions
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