STAT200 Final Exam Complete Solution
1. True or False. Justify for full credit.
(a) The volume of milk in a jug of milk is 128 oz. The value 128 is from a discrete data set.
(25 pts)
Refer to the following frequency distribution for Questions 2, 3, 4, and 5. Show all work. Just the answer, without supporting work, will receive no credit.
A random sample of 25 customers was chosen in UMUC MiniMart between 3:00 and 4:00 PM on a Friday afternoon. The frequency distribution below shows the distribution for checkout time (in minutes).
Checkout Time (in minutes) |
Frequency |
Relative Frequency |
1.0 - 1.9 |
6 |
|
2.0 - 2.9 |
8 |
|
3.0 - 3.9 |
|
|
4.0 - 5.9 |
5 |
|
Total |
25 |
|
2. Complete the frequency table with frequency and relative frequency.
Refer to the following information for Questions 6, 7, and 8. Show all work. Just the answer, without supporting work, will receive no credit.
A 6-faced die is rolled two times. Let A be the event that the outcome of the first roll is an even number, and B be the event that the outcome of second roll is greater than 4.
Refer to the following situation for Questions 9, 10, and 11.
The five-number summary below shows the grade distribution of two STAT 200 quizzes.
|
Minimum |
Q1 |
Median |
Q3 |
Maximum |
Quiz 1 |
12 |
40 |
60 |
95 |
100 |
Quiz 2 |
20 |
35 |
50 |
90 |
100 |
For each question, give your answer as one of the following: (a) Quiz 1; (b) Quiz 2; (c) Both quizzes have the same value requested; (d) It is impossible to tell using only the given information. Then explain your answer in each case. (5 pts each)
Refer to the following information for Questions 12 and 13. Show all work. Just the answer, without supporting work, will receive no credit.
There are 1000 juniors in a college. Among the 1000 juniors, 200 students are taking STAT200, and 100 students are taking PSYC300. There are 50 students taking both courses.
16. Mimi just started her tennis class three weeks ago. On average, she is able to return 20% of her opponent’s serves. Assume her opponent serves 8 times. Show all work. Just the answer, without supporting work, will receive no credit.
(a) Let X be the number of returns that Mimi gets. As we know, the distribution of X is a binomial probability distribution. What is the number of trials (n), probability of successes (p) and probability of failures (q), respectively?
Refer to the following information for Questions 17, 18, and 19. Show all work. Just the answer, without supporting work, will receive no credit.
(5 pts) (10 pts) (5 pts)
The heights of pecan trees are normally distributed with a mean of 10 feet and a standard deviation of 2 feet.
In a random sample of 225 subjects, the sample proportion is found to be pˆ 0.51.
(a) Determine the test statistic. Show all work; writing the correct test statistic, without supporting work, will receive no credit.
(b) Determine the p-value for this test. Show all work; writing the correct P-value, without supporting work, will receive no credit.
(c) Is there sufficient evidence to justify the rejection of H0 at the a=0.01 Explain.
22. Consumption of a large amount of alcohol is known to increase reaction time. To investigate the effects of small amounts of alcohol, reaction time was recorded for five individuals before and after 2 ounces of alcohol was consumed by each. Does the data below suggest that the consumption of 2 ounces of alcohol increases mean reaction time?
Assume we want to use a 0.01 significance level to test the claim.
(d) Is there sufficient evidence to support the claim that the consumption of 2 ounces of alcohol increases mean reaction time? Justify your conclusion.
23. A STAT 200 instructor is interested in whether there is any variation in the final exam grades between her two classes Data collected from the two classes are as follows:
Her null hypothesis and alternative hypothesis are:
b. Determine the p-value for this test. Show all work; writing the correct P-value, without supporting work, will receive no credit.
(c) Is there sufficient evidence to justify the rejection of H0 at the 0.01 Explain.
STAT200 Final Exam Complete Solution
Answer: 3.0 - 3.9 Work: The median is the middle most value in the ordered dataset. Here the values are already ordered in terms of class intervals. So the class interval containing the middle value would be the median class. Here total freque...
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