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uppose that I gathered a random sample of 5 people and surveyed them about their GPA....

uppose that I gathered a random sample of 5 people and surveyed them about their GPA. The results are listed below.

Student GPA
A 3
B 2.49
C 1.65
D 1.91
E 3.05


I hypothesize that the population mean for GPA is 3.16. What is the t-statistic for my sample mean given this null hypothesis?

What is the critical value for the t-statistic at the 95% confidence level when you have 5 observations?

Hint: You'll need a t-table. Round your answer to three decimal places like the table does.

math   Statistics-And-Probability   
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Answer #1

(X-X) 0.580 0.070 0.770 0.510 0.630 (x-x)2 0.3364 0.0049 0.5929 0.2601 0.3969 1.5912 0.3978 0.631 S.No 3.000 2.490 1.650 1.910 3.050 2 4 Ex 12.1 2.420-(x-x)/(n-1)- null hypothesis Alternate Hypothesis 3.16 3.16 for 0.05 level with two tailed test and n-1-4 degree of freedom, critical value of t- Decision rule: 2.776 reject Ho if absolute value of test statistic |t| >2.776 population mean sample mean sample size sample std deviation 3.16 2.42 5.00 0.63 μ= n= standard errror of means s,-s/in= 0.282 test statistic t 2.624

5) t-statistic for sample mean=-2.624

6)

critical value =2.776

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