A college indicates that, on average, graduating students achieve a GPA of at most 2.6 from their science programs. The board of Governors commissions a study to verify this information. A random...

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A college indicates that, on average, graduating students achieve a GPA of at most 2.6 from their science programs. The board of Governors commissions a study to verify this information. A random sample of 8 graduate student's GPAs is taken and the following results are obtained. 3.0, 2.4, 3.5, 2.1, 2.6, 2.5, 3.6, 3.4. At a 0.01 significance level, test the hypothesis that the average GPA of graduating students is more than 2.6.
a) Identify the null hypothesis and alternative hypothesis. Ho: p = 2.6 p # 2.6. Ho: p s 2.6 p > 2.6. Ho: p = 2.6 p b) State the critical value. For full marks your answer should be accurate to at least three decimal places. ICritical value: 0
c) Determine the value of the test statistic. For full marks your answer should be accurate to at least three decimal places. Test statistic: 0 I
d) Identify the correct interpretation. Since the test statistic is in the rejection region, reject Ho and accept Hi. Since the test statistic is in the rejection region, reject Hi. Since the test statistic is not in the rejection region, reject Ho and accept Hi. Since the test statistic is not in the rejection region, reject Hi.


Answered Same DayDec 21, 2021

Answer To: A college indicates that, on average, graduating students achieve a GPA of at most 2.6 from their...

David answered on Dec 21 2021
121 Votes
a. Option B
b. The t value is with 7 degrees freedom = 2.998
    MEAN
    2.8875
    STDEV
    0.566789
c.
Test statistic = ( 2.8875-2.6)/(.566789/√8)= 1.435
d. OPTION D
e. OPTION C
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