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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