STAT 200: Introduction to Statistics Final Examination, Summer 2016 OL1$ 60.00


STAT 200: Introduction to Statistics     Final Examination, Summer 2016 OL1                    Page 1 of 7

Record your answers and work on the separate answer sheet provided.
 
Thisexam has 200 total points; 10 points for each question.
 

STAT 200: Introduction to Statistics     Final Examination, Summer 2016 OL1                    Page 2 of 7
1.            True or False. Justify for full credit.
 
(a) If P(A) = 0.4, P(B) = 0.5, and A and B are independent, then P(A AND B) = 0.9.
 
(b) If the variance of a data set is 0, then all the observations in this data set must be zero.
 
(c) The mean is always equal to the median for a normal distribution.
 
(d) A 95% confidence interval is wider than a 90% confidence interval of the same parameter.
 
(e) In a two-tailed test, the value of the test statistic is 2. The test statistic follows a
 
distribution with the distribution curve shown below. If we know the shaded area is 0.03,
 
then we have sufficient evidence to reject the null hypothesis at 0.05 level of significance.
 
2.            Choose the best answer. Justify for full credit.
 

(ii)                parameter
 
(iii)         cannot be determined
 

(ii)                nominal
 
(iii)                ordinal
 
(iv)         ratio
 

(i)              cluster
 
(ii)              convenience
 
(iii)              systematic
 
(iv)              stratified
 

STAT 200: Introduction to Statistics     Final Examination, Summer 2016 OL1                    Page 3 of 7
3.            Choose the best answer. Justify for full credit.
 

(ii)          linear regression
 
(iii)                ANOVA
 
(iv)         confidence interval
 

(ii)          t-test for matched samples
 
(iii)         z-test for two samples
 
(iv)         F- test
 

STAT 200: Introduction to Statistics     Final Examination, Summer 2016 OL1                    Page 4 of 7

(a)          Provide a written description of the complement event of (S OR F).
 
(b)          What is the probability of complement event of (S OR F)?
 

(a)          What is the probability that the sum of the two dice is 8 given that the first one is a multiple of
 
3? Show all work. Just the answer, without supporting work, will receive no credit.
 
(b)          Are event A and event B independent? Explain.
 

STAT 200: Introduction to Statistics     Final Examination, Summer 2016 OL1                    Page 5 of 7

STAT 200: Introduction to Statistics     Final Examination, Summer 2016 OL1                    Page 6 of 7

Assume Mimi wants to use a 0.05 significance level to test the claim.
 
(a)          Identify the null hypothesis and the alternative hypothesis.
 
(b)          Determine the test statistic. Show all work; writing the correct test statistic, without supporting
 
work,will receive no credit.
 
(c)          Determine the P-value for this test. Show all work; writing the correct P-value, without
 
supportingwork, will receive no credit.
 
(d)          Is there sufficient evidence to support the claim that banana is the favorite fruit for more than
 
80% of the adults? Explain.
 

Assume we want to use a 0.10 significance level to test the claim.
 
(a)          Identify the null hypothesis and the alternative hypothesis.
 
(b)          Determine the test statistic. Show all work; writing the correct test statistic, without supporting
 
work,will receive no credit.
 
(c)          Determine the P-value for this test. Show all work; writing the correct P-value, without
 
supportingwork, will receive no credit.
 

STAT 200: Introduction to Statistics     Final Examination, Summer 2016 OL1                    Page 7 of 7
(d)          Is there sufficient evidence to support the claim that the mean weight of the freshmen in April
 
is greater than the mean weight in September? Justify your conclusion.
 


(a)          Identify the null hypothesis and alternative hypothesis.
 
(b)          Determine the test statistic. Show all work; writing the correct test statistic, without
 


(a) Identify the null hypothesis and the alternative hypothesis.
 
(b) Determine the test statistic. Show all work; writing the correct test statistic, without
 
supportingwork, will receive no credit.
 
(c) Determine the P-value. Show all work; writing the correct P-value, without supporting
 
work,will receive no credit.
 
(d) Is there sufficient evidence to support the claim that the published color distribution is
 
correct? Justify your answer.
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