Beginning Statistics, 2nd Edition
2nd Edition
ISBN: 9781932628678
Author: Carolyn Warren; Kimberly Denley; Emily Atchley
Publisher: Hawkes Learning Systems
expand_more
expand_more
format_list_bulleted
Question
Chapter 3.1, Problem 2E
To determine
To find:
The
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solutionStudents have asked these similar questions
A sample survey reveals that 206 preschool children in a sample of 300
have protein deficient diets. Compute a 98% confidence interval for the
population proportion.
The above table reports the distribution of student admissions for the Fall semester at Kinzua University, based on past data.
What is the expected number of admissions for the Fall semester?
(1000*06) =600
(1200*0.3) = 360
(1500*0.1) = 150
(600+360+150=1110) the expected number of admission for the fall semester is 1110.
Compute the variance and standard deviation of the number of admissions. (You have to use Excel for completing this).
In the general population, 10% of households own stocks. For a randomly
chosen group of 10 households, let X be the number of those who own
stocks.
(a) Find the probability that X equals 8.
(b) Find the mean and standard deviation of X.
(c) What assumptions are necessary for the Binomial distribution to
be applicable?
Chapter 3 Solutions
Beginning Statistics, 2nd Edition
Ch. 3.1 - Prob. 1ECh. 3.1 - Prob. 2ECh. 3.1 - Prob. 3ECh. 3.1 - Prob. 4ECh. 3.1 - Prob. 5ECh. 3.1 - Prob. 6ECh. 3.1 - Prob. 7ECh. 3.1 - Prob. 8ECh. 3.1 - Prob. 9ECh. 3.1 - Prob. 10E
Ch. 3.1 - Prob. 11ECh. 3.1 - Prob. 12ECh. 3.1 - Prob. 13ECh. 3.1 - Prob. 14ECh. 3.1 - Prob. 15ECh. 3.1 - Prob. 16ECh. 3.1 - Prob. 17ECh. 3.1 - Prob. 18ECh. 3.1 - Prob. 19ECh. 3.1 - Prob. 20ECh. 3.1 - Prob. 21ECh. 3.1 - Prob. 22ECh. 3.1 - Prob. 23ECh. 3.1 - Prob. 24ECh. 3.1 - Prob. 25ECh. 3.1 - Prob. 26ECh. 3.1 - Prob. 27ECh. 3.1 - Prob. 28ECh. 3.1 - Prob. 29ECh. 3.1 - Prob. 30ECh. 3.1 - Prob. 31ECh. 3.1 - Prob. 32ECh. 3.1 - Prob. 33ECh. 3.1 - Prob. 34ECh. 3.2 - Prob. 1ECh. 3.2 - Prob. 2ECh. 3.2 - Prob. 3ECh. 3.2 - Prob. 4ECh. 3.2 - Prob. 5ECh. 3.2 - Prob. 6ECh. 3.2 - Prob. 7ECh. 3.2 - Prob. 8ECh. 3.2 - Prob. 9ECh. 3.2 - Prob. 10ECh. 3.2 - Prob. 11ECh. 3.2 - Prob. 12ECh. 3.2 - Prob. 13ECh. 3.2 - Prob. 14ECh. 3.2 - Prob. 15ECh. 3.2 - Prob. 16ECh. 3.2 - Prob. 17ECh. 3.2 - Prob. 18ECh. 3.2 - Prob. 19ECh. 3.2 - Prob. 20ECh. 3.2 - Prob. 21ECh. 3.2 - Prob. 22ECh. 3.2 - Prob. 23ECh. 3.2 - Prob. 24ECh. 3.2 - Prob. 25ECh. 3.2 - Prob. 26ECh. 3.2 - Prob. 27ECh. 3.2 - Prob. 28ECh. 3.2 - Prob. 29ECh. 3.2 - Prob. 30ECh. 3.2 - Prob. 31ECh. 3.2 - Prob. 32ECh. 3.2 - Prob. 33ECh. 3.2 - Prob. 34ECh. 3.2 - Prob. 35ECh. 3.2 - Prob. 36ECh. 3.2 - Prob. 37ECh. 3.3 - Prob. 1ECh. 3.3 - Prob. 2ECh. 3.3 - Prob. 3ECh. 3.3 - Prob. 4ECh. 3.3 - Prob. 5ECh. 3.3 - Prob. 6ECh. 3.3 - Prob. 7ECh. 3.3 - Prob. 8ECh. 3.3 - Prob. 9ECh. 3.3 - Prob. 10ECh. 3.3 - Prob. 11ECh. 3.3 - Prob. 12ECh. 3.3 - Prob. 13ECh. 3.3 - Prob. 14ECh. 3.3 - Prob. 15ECh. 3.3 - Prob. 16ECh. 3.3 - Prob. 17ECh. 3.3 - Prob. 18ECh. 3.3 - Prob. 19ECh. 3.3 - Prob. 20ECh. 3.3 - Prob. 21ECh. 3.3 - Prob. 22ECh. 3.3 - Prob. 23ECh. 3.3 - Prob. 24ECh. 3.3 - Prob. 25ECh. 3.3 - Prob. 26ECh. 3.3 - Prob. 27ECh. 3.3 - Prob. 28ECh. 3.3 - Prob. 29ECh. 3.3 - Prob. 30ECh. 3.3 - Prob. 31ECh. 3.CR - Prob. 1CRCh. 3.CR - Prob. 2CRCh. 3.CR - Prob. 3CRCh. 3.CR - Prob. 4CRCh. 3.CR - Prob. 5CRCh. 3.CR - Prob. 6CRCh. 3.CR - Prob. 7CRCh. 3.CR - Prob. 8CRCh. 3.CR - Prob. 9CRCh. 3.CR - Prob. 10CRCh. 3.CR - Prob. 11CRCh. 3.CR - Prob. 12CRCh. 3.CR - Prob. 13CRCh. 3.CR - Prob. 14CRCh. 3.CR - Prob. 15CRCh. 3.PA - Prob. 1PCh. 3.PA - Prob. 2PCh. 3.PA - Prob. 3PCh. 3.PA - Prob. 4PCh. 3.PA - Prob. 5PCh. 3.PA - Prob. 6PCh. 3.PA - Prob. 7PCh. 3.PA - Prob. 8PCh. 3.PA - Prob. 9PCh. 3.PA - Prob. 10PCh. 3.PB - Prob. 1PCh. 3.PB - Prob. 2PCh. 3.PB - Prob. 3PCh. 3.PB - Prob. 4P
Knowledge Booster
Similar questions
- The distribution of X = number of service contracts signed by a com- pany in a given week is given in the following table (assume X ≤3). 700.45 0.45 1 0.3 ? || 2 7 | 306 0.1 (a) Fill in the "?" (b) Compute the mean and standard deviation of Xarrow_forwardAmong the employees who received the safety training, the percent of workdays with incidents was 5%. Among the employees who did not have had the safety training, the percent of days with incidents was 9%. 70% of all employees received the safety training. (a) Among all employees, what was the percentage of workdays with incidents? P(BT P(B₂) P(A|B) P(An B₁)= (b) Given that an employee has had an incident, what is the probability he/she did not receive the safety training?arrow_forwardA researcher randomly polled (n=300) recent RIT graduates and asked them whether they were satisfied with the quality of their education. Exactly 201 indicated satisfaction with the type of education they received. Obtain a 99% confidence interval for the proportion of recent graduates indicating satisfaction with RIT. (Handwritten Please)arrow_forward
- The New York State Department of Corrections has a policy that only applicants who score in the top 5 percent of a qualifying exam are accepted. The mean of this test is 85, and the standard deviation is 10. [Hand calculations - I prefer handwritten] (a) Would a person with a raw score of 95 be accepted? Justify the decision with your calculations.(b) Would a person with a raw score of 105 be accepted? Justify the decision with your calculations.(c) What percentage of examinees scored below an 80? Justify the decision with your calculations.(d) What percentage of examinees scored between 80 and 95? Justify the decision with your calculations.arrow_forwardSuppose we randomly sample 8 students in their 1st year and record their final average at the end of year 1. We follow up with the same 8 people one year later, and record their final average at the end of year 2. The results are presented below: Final Average year 1:7673669575789693 year 2: 75 80 70 93 81908879 We want to test whether the grades have improved for these 8 students between year 1 and year 2. What is the observed value of the test statistic corresponding to the appropriate hypothesis test? What is the p-value corresponding to the observed value of the test statistic you computed? Give your answer to 3 decimal places. Based on the p-value, there is no indication that the final average has improved from year 1 to year 2. Select one: True Falsearrow_forwardSuppose we observe two independent random samples X1,...,X, with each X ~ N(1,02) and Y₁,..., Y, with each Y ~N(2,σ²). We will assume that μ1, μ₂ and σ² are unknown. We are given = 10.1, y = 7.1, s² = 5.5 and s² = 6.4, with n₁ = 13 and n₂ = 19. We would like to test the hypothesis Ho₁ = 2 versus H₁ = 11 12. What test statistic should you use? You may assume the samples come from populations with equal variances. Oa. Z= b. T= X-Y 0²√1/n₁+1/na X-Y Sov/1/n₁+1/12 ~ N(0, 1), where² = 6.04. ~t+-2, where S2 is the pooled estimate of variance. ○ c. T= d Sal√12 ~12, where d is the mean and S is the sample variance of paired differences d₁ = x - yi, i = 1,..., 13. Clear my choice Suppose we want to formally test the assumption that the variances of the two populations the samples come from are equal. What is the test statistic we should use? a. W = b. F= ○ c. W = (n-1)S ~ 5.5 ~PM-1 (n-1)S -1 ~ 6.4 We will now compute a 95% confidence interval for the ratio of 1. Here, we are no longer assuming…arrow_forward
- Suppose we observe two independent random samples X1,..., X, with each X ~~N(1,0²) and Y₁,..., Y₁₂ with each Y ~ N(μ2,σ²). We will assume that μ1, 2 and σ² are unknown. We are given = 10.1, y = 7.1, s² = 5.5 and s² = 6.4, with n₁ = 13 and n₂ = 19. We would like to test the hypothesis Ho₁ =μ2 versus H₁₁ 12. What test statistic should you use? You may assume the samples come from populations with equal variances. Oa. Z= b. T= ○ c. T= X-Y 0²√1/+1/m X-Y Sov/1/n₁+1/3 ~ N(0, 1), where 26.04. ~ t+-2, where S is the pooled estimate of variance. Sal√2t12, where d is the mean and S is the sample variance of paired differences d₂ = x¡ — yi, i = 1,..., 13. Clear my choice What is the observed value of the test statistic for the appropriate hypothesis test of Hoμ₁ = μ₂ versus H₁ μ₁ µ₂? : What is the p-value of the observed test statistic you have just computed, for the appropriate hypothesis test?arrow_forwardConsider a linear model and y₁ = ẞ1 + ẞ2 (1 + α²) + ɛi, i = 1,3,5, ..., 2n - 1 yi = ß₁ + ß2 (1 − α²) + ɛi, i = 2,4,6, ...,2n where a is assumed to be a known constant and ɛi 's are independent and identically distributed N(0, 2) random variables. (i) Let B1 and B2 be the least squares estimators of ẞ₁ and ẞ2, respectively. Find the Var (C1ẞ₁ + C2ẞ2) for any constant C1 and C2 (ii) Find Var(B2 - B1). (iii) Find Var(B2 + ß1). (iv) Comment on the effect of a on the estimability of ẞ2 - ẞ₁ and ẞ2 + ẞ1.arrow_forwardSuppose you fit a multiple regression with quantitative predictors X2, X3, for the variance inflation factor of predictor Xi is 1/(1 – R;²). What does the R;² represent, and what is the range of values can it have? Xk. The formula 2 -arrow_forward
- Consider the following bi-matrix game: (2,5) (-2,6) (A, B) = ((-4) (1,2) wwwww. (1) For the non-cooperative version of the game, find all equilibrium points (i.e., all Nash equilibria) of this game in pure strategies. Show your working. wwwwwww. (2) Using the (appropriate) graphical method find all equilibrium points of this game in mixed strate- gies. Show your working. Explain how your answer to this part is related to your answer to part (1) above. (3) Draw the cooperative payoff region of this game. Find the status quo point and the bargaining set (show your working and your arguments). (4) Use Nash's arbitration procedure to find the arbitration pair and the joint strategy of the players corresponding to that pair. Show your working.arrow_forwardSuppose that we have a set G of gin merchants and a set W of tonic water merchants. For Є G, the ith gin merchant has a litres of gin, and for j Є W, the jth tonic water merchant has ẞi litres of tonic water. Assume that α; and ẞj are real positive numbers for each i and j (also mind that, in general, a₁'s are different for different i and Bi's are different for different j). The merchants can form any coalition (i.e., any subset of GUW), and when producing the gin and tonic cocktail they should 1) use only gin and tonic water which are available to them, 2) use twice bigger volume of tonic water than (that of) gin. In other words, the ratio of tonic water to gin in the cocktail has to be 2 1. The value of any coalition S ≤ GUW is then defined as the maximal volume of gin and tonic cocktail which S can produce.1 (i) Let G = {G₁, G₂} and W = {W₁} with α ₁ = 7, α₂ = 8 and ẞ₁ = 20. Find the values of all coalitions of these three merchants using the rule described above, and write out the…arrow_forward6.4. The data shown in Table 6E.1 are x and R values for 24 samples of size n = 5 taken from a process producing bearings. The measurements are made on the inside diameter of the bearing, with only the last three decimals recorded (i.e., 34.5 should be 0.50345). Table 6E.1 Bearing Diameter Data Sample Number Sample x R Number 7 R 1 34.5 3 13 35.4 2 34.2 4 14 34.0 88 6 3 31.6 4 15 37.1 4 31.5 4 16 34.9 5 35.0 5 17 33.5 6 34.1 6 18 31.7 7 32.6 4 19 34.0 8 33.8 3 20 35.1 9 34.8 7 21 33.7 10 33.6 8 22 32.8 11 12 12 31.9 3 23 33.5 38.6 9 24 34.2 5743 842-33 1 a. Set up x and R charts on this process. Does the process seem to be in statistical control? If necessary, revise the trial control limits. Draw x-bar control chart and R chart X₁ + x2 + ……. +xm x = ; m UCL× = X + A₂Ŕ CLx = x LCL = X — A₂Ŕ UCLR = DÅR CLR = R LCLR = D3R R R₁ + R₂ + ··· + Rm ... m Remove the data that are not in control and recalculate UCL, CL, LCL and redraw control chart. b. If specifications on this diameter are…arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
- MATLAB: An Introduction with ApplicationsStatisticsISBN:9781119256830Author:Amos GilatPublisher:John Wiley & Sons IncProbability and Statistics for Engineering and th...StatisticsISBN:9781305251809Author:Jay L. DevorePublisher:Cengage LearningStatistics for The Behavioral Sciences (MindTap C...StatisticsISBN:9781305504912Author:Frederick J Gravetter, Larry B. WallnauPublisher:Cengage Learning
- Elementary Statistics: Picturing the World (7th E...StatisticsISBN:9780134683416Author:Ron Larson, Betsy FarberPublisher:PEARSONThe Basic Practice of StatisticsStatisticsISBN:9781319042578Author:David S. Moore, William I. Notz, Michael A. FlignerPublisher:W. H. FreemanIntroduction to the Practice of StatisticsStatisticsISBN:9781319013387Author:David S. Moore, George P. McCabe, Bruce A. CraigPublisher:W. H. Freeman
MATLAB: An Introduction with Applications
Statistics
ISBN:9781119256830
Author:Amos Gilat
Publisher:John Wiley & Sons Inc
Probability and Statistics for Engineering and th...
Statistics
ISBN:9781305251809
Author:Jay L. Devore
Publisher:Cengage Learning
Statistics for The Behavioral Sciences (MindTap C...
Statistics
ISBN:9781305504912
Author:Frederick J Gravetter, Larry B. Wallnau
Publisher:Cengage Learning
Elementary Statistics: Picturing the World (7th E...
Statistics
ISBN:9780134683416
Author:Ron Larson, Betsy Farber
Publisher:PEARSON
The Basic Practice of Statistics
Statistics
ISBN:9781319042578
Author:David S. Moore, William I. Notz, Michael A. Fligner
Publisher:W. H. Freeman
Introduction to the Practice of Statistics
Statistics
ISBN:9781319013387
Author:David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:W. H. Freeman