14. The correct null/alternative hypothesis pair is: A)Ho:?=12.5 vs Ha:??12.5? B
ID: 3155902 • Letter: 1
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14. The correct null/alternative hypothesis pair is: A)Ho:?=12.5 vs Ha:??12.5? B) Ho: ? ? 12.5 vs Ha: ? >12.5? C) Ho: ? = 16.97 vs Ha: ? ? 16.97 D)Ho:??12.5 vs Ha:?=12.5 E) Ho: ? = 12.5 vs Ha: ? ? 12.5
15. The rejection region for this test is: A) t < - 2.262 or t > 2.262 B) t < - 1.833 or t > 1.833 C) t < -1.833 D) t > 2.262 E) t < - 4.653 or t > 4.653
16. The test statistic is:? A) 3.038 B) 4.470 C) 1.470 D) 4.653 E) 16.970
STAT 201 Practice Exam 3 Use the information in the following setting to answer questions 14 through 18 An agronomist believes that the average yield of a certain variety of tomato plant is 12.5 pounds per plant. In order to test this claim, a SRS of 10 plants are grown and the yields in pounds are recorded. Descriptive statistics are in the output follow. Let alpha-0.05 Table 1: Output 1: Descriptive Statistics Variable N Mean StDev weight 10 16.970 3.038Explanation / Answer
14.
Formulating the null and alternative hypotheses,
Ho: u = 12.5
Ha: u =/ 12.5 [ANSWER, A]
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15.
As we can see, this is a two tailed test.
Thus, getting the critical t,
df = n - 1 = 9
tcrit = +/- 2.262157163
Hence, reject Ho when
A) t < - 2.262 or t > 2.262 [ANSWER, A]
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16.
Getting the test statistic, as
X = sample mean = 16.97
uo = hypothesized mean = 12.5
n = sample size = 10
s = standard deviation = 3.038
Thus, t = (X - uo) * sqrt(n) / s = 4.653 [ANSWER, D]
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