I promise this will help you ace your statistics midterm exam. If you need further help, just message me in this website. I am archmage, a statistics expert tutor. Godbless!
1.The MPG (miles per gallon) for a certain compact car is normally distributed with a mean of 31 and a standard deviation of 0.8. What is the probability that the MPG for a randomly selected compact car would be less than 32?
0.5596
0.3944
0.8944
0.1056
2.In a simple regression, there are n – 2 degrees of freedom associated with the error sum of squares (SSE).
True
False
3.A researcher’s results are shown below using Femlab (labor force participation rate among females) to try to predict Cancer (death rate per 100,000 population due to cancer) in the 50 U.S. states.
Source of variation df SS MS F
Regression 1 5377.836 5377.836 5.228879
Residual 48 49367.389 1028.487
Total 49 54745.225
What is the R2 for this regression?
.1605
.0982
.9018
.8395
[The following information applies to the questions displayed below.]
The sodium content of a popular sports drink is listed as 204 mg in a 32-oz bottle. Analysis of 14 bottles indicates a sample mean of 210.5 mg with a sample standard deviation of 24.2 mg.
4.(a)
State the hypotheses for a two-tailed test of the claimed sodium content.
H0: µ ≤ 204 vs. H1: µ > 204
H0: µ = 204 vs. H1: µ ≠ 204
H0: µ ≥ 204 vs. H1: µ < 204
5.
(b)
Calculate the t test statistic to test the manufacturer’s claim. (Round your answer to 4 decimal places.)
Test statistic
6.
(c)
At the 1 percent level of significance (α = 0.01) does the sample contradict the manufacturer’s claim?
H0. The sample
the manufacturer’s claim.
7.
(d-1)
Use Excel to find the p-value and compare it to the level of significance. (Round your answer to 4 decimal places.)
The p-value is . It is
than the significance level 0.01.
(d-2) Did you come to the same conclusion as you did in part (c)?
Yes
No
8.A charity raffle prize is $1,000. The charity sells 4,000 raffle tickets. One winner will be selected at random. At what ticket price would a ticket buyer expect to break even?
$0.25
$0.50
$0.75
$1.00
9.At Joe’s Restaurant, 80 percent of the diners are new customers (N), while 20 percent are returning customers (R). Fifty percent of the new customers pay by credit card, compared with 70 percent of the regular customers. If a customer pays by credit card, what is the probability that the customer is a new customer?
.7407
.5000
.5400
.8000
10.Within a given population, 22 percent of the people are smokers, 57 percent of the people are males, and 12 percent are males who smoke. If a person is chosen at random from the population, what is the probability that the selected person is either a male or a smoker?
.67
.22
.43
.79
11.A fair die is rolled. If it comes up 1 or 2 you win $2. If it comes up 3, 4, 5, or 6 you lose $1. Find the expected winnings.
$1.00
$0.50
$0.00
$0.25
12.Assume that X is normally distributed with a mean μ = $64. Given that P(X ≥ $75) = 0.2981, we can calculate that the standard deviation of X is approximately:
$13.17.
$5.83.
$7.05.
$20.76.
13.If the attendance at a baseball game is to be predicted by the equation Attendance = 16,500 – 75 Temperature, what would be the predicted attendance if Temperature is 90 degrees?
9,750
6,750
10, 020
12,250
[The following information applies to the questions displayed below.]
A random sample of 140 items is drawn from a population whose standard deviation is known to be σ = 50. The sample mean is x = 780.
14.
(a)
Construct an interval estimate for μ with 98 percent confidence. (Round your answers to 4 decimal places.)
The 98 percent confidence interval is from to .
15.
(b)
Construct an interval estimate for μ with 98 percent confidence, assuming that σ = 100. (Round your answers to 4 decimal places.)
The 98 percent confidence interval is from to .
16.
(c)
Construct an interval estimate for μ with 98 percent confidence, assuming that σ = 200. (Round your answers to 4 decimal places.)
The 98 percent confidence interval is from to .
17.
(d) Describe how the confidence interval changes as σ increases.
The interval stays the same as σ increases.
The interval gets wider as σ increases.
The interval gets narrower as σ increases.
The interval gets wider as σ decreases.
18.What are the mean and standard deviation for the standard normal distribution?
μ = 0, σ = 1
μ = 0, σ = 0
μ = 1, σ = 0
μ = 1, σ = 1
19.A negative value for the correlation coefficient (r) implies a negative value for the slope (b1).
True
False
20.The Poisson distribution has only one parameter.
True
False
21.Find the probability that either event A or B occurs if the chance of A occurring is .5, the chance of B occurring is .3, and events A and B are independent.
.15
.80
.65
.85
22.The total sum of squares (SST) will never exceed the regression sum of squares (SSR).
True
False
23.A prediction interval for Y is narrower than the corresponding confidence interval for the mean of Y.
True
False
24.A biometric security device using fingerprints erroneously refuses to admit 2 in 1,400 authorized persons from a facility containing classified information. The device will erroneously admit 2 in 1,004,000 unauthorized persons. Assume that 95 percent of those who seek access are authorized.
If the alarm goes off and a person is refused admission, what is the probability that the person was really authorized? (Round your answer to 5 decimal places.)
Probability
25.The fracture strength of a certain type of manufactured glass is normally distributed with a mean of 534 MPa with a standard deviation of 13 MPa.
(a)
What is the probability that a randomly chosen sample of glass will break at less than 534 MPa? (Round your answer to 2 decimal places.)
Probability
(b)
What is the probability that a randomly chosen sample of glass will break at more than 559 Mpa? (Round your answer to 4 decimal places.)
Probability
(c)
What is the probability that a randomly chosen sample of glass will break at less than 567 MPa? (Round your answer to 4 decimal places.)
Probability
26.Half of a set of the parts are manufactured by machine A and half by machine B. Five percent of all the parts are defective. Two percent of the parts manufactured on machine A are defective.
Find the probability that a part was manufactured on machine A, given that the part is defective. (Round your answer to 4 decimal places.)
Probability
27.A student’s grade on an examination was transformed to a z value of 0.67. Assuming a normal distribution, we know that she scored approximately in the top:
25 percent.
40 percent.
50 percent.
15 percent.
28.Which pairs of events are independent?
(a) P(A) = 0.28, P(B) = 0.14, P(A∩B) = 0.10.
A and B are
.
(b) P(A) = 0.15, P(B) = 0.48, P(A∩B) = 0.05.
A and B are
.
(c) P(A) = 0.80, P(B) = 0.10, P(A∩B) = 0.08.
A and B are
.
29.A large number of applicants for admission to graduate study in business are given an aptitude test. Scores are normally distributed with a mean of 460 and standard deviation of 80. The top 2.5 percent of the applicants would have a score of at least (choose the nearest integer):
646.
617.
606.
600.
30.A random variable X is best described by a continuous uniform distribution from 20 to 45 inclusive. The mean of this distribution is:
33.5.
32.5.
31.5.
30.5.
Try it now!
How it works?
Follow these simple steps to get your paper done
Place your order
Fill in the order form and provide all details of your assignment.
Proceed with the payment
Choose the payment system that suits you most.
Receive the final file
Once your paper is ready, we will email it to you.
Our Services
Custom Writings Help is a Quality-Oriented Company in Online Writing as a result of hiring exceptional professionals to execute clients' tasks.
Essays
At Custom Writings Help,We understand the struggle of research paper writing, and that is why at Custom WritingS Help, we are all out to help you. We pride ourselves on having a team of clinical writers. The stringent and rigorous vetting process ensures that only the 'BEST' Writers are chosen for the job. We have highly qualified Ph.D. and MA writers working with us; we equally offer these experienced writers specific bonuses and incentives to make them deliver highly original, unique, and informative content at reasonably low prices.
Admissions
Thesis Writing Service
Worlwide, Many Masters Students are struggling with Thesis Completion. A thesis is likely to be the longest and most challenging piece of work a student has ever completed. However, unlike essays and other assignments, a student can pick a particular interest topic and work on their initiative. Fortunately, we are there for you. At Custom Writings Help, you are assured of an authentic, imaginative, informative, linguistically great, and advantageous thesis that adheres to all your needs. So, why continue considering different writers when you have discovered the best in the field?
Editing
Custom Papers
Not a single student can avoid writing custom papers. However, a total lack of experience, skills, and time makes it very hard to produce a superb writing piece. Therefore, if you are seeking professional help, turn to us. Our specialized and experienced writers compose a variety of model papers, including custom essays, college term papers, research papers, book reports, MBA essays, executive summaries, dissertations, Ph.D. theses, admission essays, and research proposals for college and university students at any level.
Coursework
Essay Writing
Most of the students disregard the critical principles of essay writing and compose papers below sensible guidelines. Therefore, with Custom Writings Help, one should not worry about his/her essay. Our Writers compose informative and engaging content on all complexities and topics. We write meaningful and smart essays while prioritizing all aspects that bring about a good grade, such as impeccable grammar, proper structure, zero-plagiarism, and conformance to guidelines.
Coursework
Coourse Work Writing
Don't let the seemingly never-ending onslaught of writing assignments get you down. If you are looking where to get course work assistance online, the writers at Custom Writings Help are here to assist you with all of your writing needs. We undertake to unique delivery of papers that meet the professor's requirements. The content is proofread, edited, and checked plagiarism before submission to customers. No matter how big or small your work is, we will deliver on time. Try US Now! !
Coursework
Dissertation Writing Service
High-Quality Dissertation Writing Services are rare. They require Ph.D. academicians – not easily found. However, are an exception. The years, time, and resources we have invested in the dissertation world has given us a competitive advantage over others. Choose to come to Custom Writings Help; You will find perfect Ph.D. consultants who have written hundreds of dissertations theses ready to help you. Let our dissertation-writing services help you craft your dissertation, for you are assured we will give you the results.