STATS:DATA+MODELS-W/DVD
4th Edition
ISBN: 9780321986498
Author: DeVeaux
Publisher: PEARSON
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Chapter 15, Problem 5E
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Test the claim about the population mean μ at the level of significance α. Assume the population is normally distributed.
μ
Claim: <4715; α = 0.05
Sample statistics: x = 4917, s = 5501, n = 54
What are the null and alternative hypotheses?
Ho:
Ha
(Type integers or decimals. Do not round.)
Find the standardized test statistic t.
t = ☐
(Round to two decimal places as needed.)
Find the P-value.
P =
(Round to three decimal places as needed.)
Decide whether to reject or fail to reject the null hypothesis. Choose the correct answer below.
Ho. There
enough evidence at the ☐ % level of significance to
Fail to reject
Reject
....
the claim.
A politician claims that the mean salary for managers in his state is more than the national mean, $85,000. Assume the the population is normally distributed and the population standard deviation is
$8700. The salaries (in dollars) for a random sample of 30 managers in the state are listed. At α = 0.01, is there enough evidence to support the claim? Use technology.
92,421
81,412
85,143
97,220
99,317
71,884
97,762
86,108
98,385
73,869
81,391
95,997
98,828
86,476
77,893
74,995
90,472
81,330
92,183
94,649
77,880
91,821
90,907
84,640
78,479
81,703
89,573
89,948
70,938
81,300
(a) Identify the null hypothesis and alternative hypothesis.
O A. Ho: " =85,000
Нa: μ85,000
D. Hoi u >85,000
Нa: μ≤85,000
(b) Identify the standardized test statistic.
Z=
B. Hoμ≥85,000
Haμ85,000
Haμ≤85,000
(Round the final answer to two places as needed. Round all intermediate values to three places as needed.)
(c) Find the P-value. Use technology.
(Round to three decimal places as needed.)
(d) Decide whether to reject…
I would like to get help to know how to make a report of the multiple regression analysis I performed about 30 employees salaries. it should include a description of the predictice model, pre-analysis, regression analysis, interpretation of the relevant findings and a conclusion with recommendations. thank you
Chapter 15 Solutions
STATS:DATA+MODELS-W/DVD
Ch. 15.1 - 1. One of the authors took his minivan in for...Ch. 15.3 - 2. Suppose the time it takes a customer to get and...Ch. 15 - Prob. 1ECh. 15 - 2. Caffeinated A coffee shop tracks sales and has...Ch. 15 - 3. Oranges again What is the standard deviation...Ch. 15 - 4. Caffeinated again What is the standard...Ch. 15 - 5. Salary An employer pays a mean salary for a...Ch. 15 - 6. Golf scores A golfer keeps track of his score...Ch. 15 - 13. Battery The life span of a calculator battery...Ch. 15 - 14. Ketchup An automatic filling machine in a...
Ch. 15 - 15. Expected value Find the expected value of each...Ch. 15 - 16. Expected value Find the expected value of each...Ch. 15 - 17. Pick a card, any card You draw a card from a...Ch. 15 - 18. You bet! You roll a fair die. If it comes up a...Ch. 15 - 19. Kids A couple plans to have children until...Ch. 15 - 20. Carnival A carnival game offers a $100 cash...Ch. 15 - 21. Software A small software company bids on two...Ch. 15 - Prob. 16ECh. 15 - Prob. 17ECh. 15 - Prob. 18ECh. 15 - Prob. 19ECh. 15 - 26. The die Find the standard deviation of the...Ch. 15 - Prob. 21ECh. 15 - Prob. 22ECh. 15 - Prob. 23ECh. 15 - 30. Red lights A commuter must pass through five...Ch. 15 - 31. Defects A consumer organization inspecting new...Ch. 15 - 32. Insurance An insurance policy costs $100 and...Ch. 15 - Prob. 27ECh. 15 - Day trading An option to buy a stock is priced at...Ch. 15 - Prob. 29ECh. 15 - 36. Contracts Your company bids for two contracts....Ch. 15 - Prob. 31ECh. 15 - Prob. 32ECh. 15 - Prob. 33ECh. 15 - Prob. 34ECh. 15 - Random variables Given independent random...Ch. 15 - 42. Random variables Given independent random...Ch. 15 - Prob. 37ECh. 15 - 44. Garden A company selling vegetable seeds in...Ch. 15 - Prob. 39ECh. 15 - Stop! Find the mean and standard deviation of the...Ch. 15 - Tickets A delivery company’s trucks occasionally...Ch. 15 - Donations Organizers of a televised fundraiser...Ch. 15 - 49. Fire! An insurance company estimates that it...Ch. 15 - Prob. 45ECh. 15 - 52. Pets The American Veterinary Association...Ch. 15 - Prob. 47ECh. 15 - More pets You’re thinking about getting two dogs...Ch. 15 - 55. Medley In the 4 × 100 medley relay event, four...Ch. 15 - Prob. 50ECh. 15 - Prob. 51ECh. 15 - 58. Bike sale The bicycle shop in Exercise 56 will...Ch. 15 - 59. Coffee and doughnuts At a certain coffee shop,...Ch. 15 - Prob. 54E
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- THE QUESTION: Set up a free RStudio account at posit.cloud. At the start of your R session, you should enter the following commands. set.seed(1) e<-rnorm(n = 100,mean = 0,sd = 80) x<-seq(1,100,1) y<-10+15*x + e Follow the examples in the Panopto Videos to use R to obtain the values requested below. (As always, if you round your answers, make sure you do so correctly and keep at least three decimal places.) (a) The smallest value of y = (b) The largest value of y = (c) The standard deviation of y = (d) The mean of y = (e) The median of y = (f) The correlation between x and y = (g) Using the variable e as data, the p-value for a test of Ho = 0 vs. Hд μ0 is ANSWERS I HAVE TRIED THAT ARE NOT CORRECT ↓ Answer Preview (BESIDES F, F IS CORRECT) (A) -104.123 (B) 1545.84 (C) 448.543 (D) 752.347 (E) 775.533 (F) (G) 0.987 0.497 PLEASSSEEE DO NOT GIVE ME BACK THE SAME ANSWERS THAT I HAVE SAID ARE WRONG Result incorrect incorrect incorrect incorrect incorrect correct incorrectarrow_forward3:23 Search 1 of 2 UMCISI mville.brightspace.com onomic Statistics our grade, can be done as a 2 people's group) - Due date Sunday, 12/08/202 through Brightspace portal. College students' physical, emotional, and mental health are at the forefront of many national discussions and statistical studies. Many factors can influence students' overall health, including diet, sleep, exercise, social media usage, etc. In this project, you will look at real data gathered from 30 college students and determine related descriptive and inferential statistics. Please use MS Excel (see attached file) to collect your data and complete the assignment. The students surveyed were asked the following questions: On a typical weekday, Are you an on-campus student or a commuter? How many hours of sleep do you get? How many hours do you study? How many calories do you intake? How many hours do you exercise? How many hours do you spend on social media? How many hours do you spend with your friends and family…arrow_forwardIs the area to the right of the left-tail critical value Chi-squared(1-alpha) of the chi-squared distribution always (1-alpha), and is the area to the left of this critical value always alpha? Does this apply to all chi-squared distributions?Please see image attachedarrow_forward
- Set up a free RStudio account at posit.cloud. At the start of your R session, you should enter the following commands. set.seed(1) e<-rnorm(n = 100,mean = 0,sd = 80) x<-seq(1,100,1) y<-10+15*x + e Follow the examples in the Panopto Videos to use R to obtain the values requested below. (As always, if you round your answers, make sure you do so correctly and keep at least three decimal places.) (a) The smallest value of y = (b) The largest value of y = (c) The standard deviation of y = (d) The mean of y = (e) The median of y = (f) The correlation between x and y = : (g) Using the variable e as data, the p-value for a test of Hoμ = 0 vs. HA μ0 isarrow_forwardDoes Chi-squared(alpha) always represent the right tail of the the chi-square distribution and does Chi-squared(1-alpha) always represent the left tail of the the chi-square distribution. Also, for a standard normal distribution would Z(1-alpha) be equivalent to -Zalpha in represneting the left tail of the standard normal distribution curve because they both have the same z-score. Furthermore, is my understanding correct in the sense that if we have a critical value,say Zalpha, would the area to the right of it will be alpha and to the left of it would be 1-alphaarrow_forwardOne bulb manufacturer claims an average bulb life of 1,600 hours. It is suspected that the actual average is significantly lower. To verify this, a sample of 49 bulbs is selected and the life of each bulb is measured. A sample mean of 1,500 hours and a standard deviation of 120 hours were obtained from them. Can you be sure, at 5% significance, that the mean life is less than what the manufacturer claims?arrow_forward
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