Register to read the introduction…
(5 pts)
Let event A be the selected student having a laptop, and event B be the selected student having a tablet. Are A and B independent events? Why or why not?
(5 pts)
A combination lock uses three distinctive numbers between 0 and 49 inclusive. How many different ways can a sequence of three numbers be selected? (Show work)
(5 pts)
15.
Let random variable x represent the number of heads when a fair coin is tossed three times. Show all work. Just the answer, without supporting work, will receive no credit.
(a)
(b)
Construct a table describing the probability distribution.
(5 pts)
Determine the mean and standard deviation of x. (Round the answer to two decimal places)
(10 pts)
STAT 200: Introduction to Statistics
Final Examination, Fall 2015 OL1/US1
Page 4 of 6
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 10 times.
(a)
(b)
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), …show more content…
Do the data below suggest that consumption of 2 ounces of alcohol increases mean reaction time?
Reaction Time (seconds)
Before
After
6
7
8
8
4
6
7
8
9
8
Subject
1
2
3
4
5
Assume we want to use a 0.01 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. 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 consumption of 2 ounces of alcohol increases mean reaction time? Justify your conclusion.
(15 pts)
23.
The UMUC MiniMart sells four different types of Halloween candy bags. The manager reports that the four types are equally popular. Suppose that a sample of 500 purchases yields observed counts 150, 110, 130, and 110 for types 1, 2, 3, and 4, respectively.
Type
Number of Bags
1
150
2
110
3
Let event A be the selected student having a laptop, and event B be the selected student having a tablet. Are A and B independent events? Why or why not?
(5 pts)
A combination lock uses three distinctive numbers between 0 and 49 inclusive. How many different ways can a sequence of three numbers be selected? (Show work)
(5 pts)
15.
Let random variable x represent the number of heads when a fair coin is tossed three times. Show all work. Just the answer, without supporting work, will receive no credit.
(a)
(b)
Construct a table describing the probability distribution.
(5 pts)
Determine the mean and standard deviation of x. (Round the answer to two decimal places)
(10 pts)
STAT 200: Introduction to Statistics
Final Examination, Fall 2015 OL1/US1
Page 4 of 6
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 10 times.
(a)
(b)
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), …show more content…
Do the data below suggest that consumption of 2 ounces of alcohol increases mean reaction time?
Reaction Time (seconds)
Before
After
6
7
8
8
4
6
7
8
9
8
Subject
1
2
3
4
5
Assume we want to use a 0.01 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. 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 consumption of 2 ounces of alcohol increases mean reaction time? Justify your conclusion.
(15 pts)
23.
The UMUC MiniMart sells four different types of Halloween candy bags. The manager reports that the four types are equally popular. Suppose that a sample of 500 purchases yields observed counts 150, 110, 130, and 110 for types 1, 2, 3, and 4, respectively.
Type
Number of Bags
1
150
2
110
3