(a) A population of size 20 is sampled without replacement. The standard deviation of the population is 0.35. Find the minimum sample size that the standard error of the mean is no more than 0.15. (b) A sample of 30 masks was taken randomly from the production line. Assume the strengths of the marks follow a normal distribution. The strength of each specimen was determined, giving a sample standard deviation of 10 kN/m2. With equal probabilities in the two tails, find the 95% confidence interval for the standard deviation of the strengths.
Q: For a population with u = 34, a score of X = 31 corresponds to z = -1.00. The standard deviation for…
A:
Q: population has parameters μ=140.6μ=140.6 and σ=27σ=27. You intend to draw a random sample of size…
A: Given that Mean=μ=140.6 Standard deviation=σ=27 n=186
Q: A population has parameters u = 20.2 and o = 10.4. You intend to draw a random sample of size n =…
A: From the above data we are given that n =195μ = 20.2σ = 10.4
Q: What is the mean of the distribution of sample means? μ¯x=μx¯= What is the standard deviation of…
A:
Q: A population has parameters μ = 248.1 and o = 31.5. You intend to draw a random sample of size n=…
A: Given data μ = 248.1σ = 31.5n = 141
Q: In the manufacture of light emitting diode (LED). different layers of ink are on the optic lens. The…
A: Let X1 and X2 be independently normal distributed. If T is the total thickness, then T=X1+X2.It is…
Q: A population has a mean μ = 130 and a standard deviation o =26. Find the mean and standard deviation…
A: Given that Population mean (μ) = 130 Population standard deviation (σ) = 26 Sample size (n) = 52…
Q: of size 25 taken from a normally distributed population whose standard deviation is 15. What is…
A: As the population standard deviation is known, we will use z distribution. The critical z-value for…
Q: A population has parameters μ=109.4μ=109.4 and σ=98.4σ=98.4. You intend to draw a random sample of…
A: Given problem Given that
Q: A sample of size n = 146 produced the sample mean of 22.5. Assuming the population standard…
A: Answer - A sample of size n = 146 produced the sample mean of μ = 22.5. Assuming the…
Q: The voltage of a received signal is assumed to be normally distributed with standard deviation 0.16…
A: here we have to test H0:μ=2 vsH1:μ≠2 x = output voltage X~ N(μ,σn=0.046188)
Q: A population has parameters μ=134.3 and σ=62.4. You intend to draw a random sample of size n=210.…
A:
Q: A population has parameters u = 184.3 and o = 7. You intend to draw a random sample of size n = 85.…
A:
Q: A normal distributed population has parameters μ=16.6μ=16.6 and σ=77σ=77. If a random sample of size…
A: Given data, μ=16.6 σ=77 n=160
Q: A sample is selected from a population with A = 150. After a treatment is administered to the…
A: We have given that Population mean = 150 Sample mean = 140 Sample size =18 Sample standard…
Q: Your decision about ( Ho) A Reject Ho В Fail to reject Ho
A:
Q: In a previous study conducted several years ago, a man owned on average 14 dress shirts. The…
A: Solution: Given information: n= 45 Sample size x= 13.8 Sample mean μ=14 Population mean σ= 3…
Q: A population has parameters μ = 180.7 and σ = 70.8 . You intend to draw a random sample of size n =…
A: It is given that the population mean is 180.7. The population standard deviation is 70.8. The sample…
Q: A chip company claims that their 28 gram bags of chips contain an average of at most 36.5 milligrams…
A: Given that, n= 28 Ho: 28 gram bags of chips contain an average of at most 36.5 milligrams of factory…
Q: parameters μ=204.5 and σ=36. If a random sample of size n=38 is selected, What is the mean of the…
A: Given that Sample size=38
Q: A test is made of H0 : ȝ = 44 versus H1 : ȝ > 44. A sample of size n = 80 is drawn, and x = 45. The…
A: It is given that Mean(μ) = 44 Sample mean(x̅) = 45 Standard deviation(σ) = 25 Sample size(n) = 80
Q: normally distributed population has parameters μ=602 and σ=39. You intend to draw a random sample of…
A:
Q: sample is selected from a population with µ = 50. After a treatment is administered to the 16…
A:
Q: A population has a mean μ=163and a standard deviation σ=30. Find the mean and standard deviation of…
A: Given : μ = 163 , σ= 30 and n= 46
Q: Determine the mean (ux), variance (a² x) and standard deviation (ax) of each. (Show your solution)…
A: According to policy we supposed to answer first question for remaining please repost the question.
Q: A population has parameters μ=38.2 and σ=97.1. You intend to draw a random sample of size n=106.…
A:
Q: A population has parameters µ = 41 and o = 71.4. You intend to draw a random sample of s n = 174.…
A:
Q: A random sample of n = 16 scores is obtained from a population with a standard deviation of σ = 18.…
A: Solution: From the given information, n=16, σ=18, x-bar=86 and z=2.
Q: the sample standard deviation is determined to be S = 2.7, compute the test statistic. Round to…
A: s = 2.7 sigma = 2.4 n = 16
Q: of detergent collected, the average viscosity of the sample was 812 centistokes and the standard…
A: We have given that, Hypothesized mean = 800 , Sample mean 812 , Sample standard deviation SD = 25 ,…
Q: A population has parameters = 245.2 and a 8.9. You intend to draw a random sample of size n = 80.…
A: μx=245.2,σx=8.9,n=80
Q: A statistician has a random sample of 30 observations from a population which has a normal…
A: It is interpreted that: σ population SD=5n sample size=30μ0 claimed population mean=0
Q: (a) Find a 90% confidence interval for μ 1 <μ< (b) Find a 95% confidence interval for μ <μ< (c) Find…
A: The sample size is 70, the sample mean is 24.1 and the population standard deviation is 3.68.
Q: What is the mean of the distribution of sample means? μ¯x=μx¯= What is the standard deviation of…
A: Answer:- Given, n=80 μ=184.7 σ=93.2 X~N(80,93.2)
Q: Consider a normal population with µ = 50 and σ = 6. A sample size of at least which size needs to be…
A: The population standard deviation is 6 and margin of error is 2 or less.
Q: A population has parameters μ=170.9 and σ=18. You intend to draw a random sample of size n=87n=87.…
A: The data is provided as follows:Population mean, Population standard deviation, Sample size,
Q: A population of values has a normal distribution with u = 236.9 and o = 16.8. You intend to draw a…
A: Note: Hi there! Thank you for posting the question. As there are several independent questions,…
Q: Suppose x has a distribution with a mean of 90 and a standard deviation of 27. Random samples of of…
A: Given data, μ=90σ=27n=36x=85.5z=?
Q: A normal distributed population has parameters μ=15.5μ=15.5 and σ=81σ=81. If a random sample of size…
A:
Q: A population has parameters μ=99.4μ=99.4 and σ=40.4σ=40.4. You intend to draw a random sample of…
A:
Q: A population has parameters μ = 19.3 and σ = 80.9 . You intend to draw a random sample of size n =…
A: Given A population has parameters μ=19.3 and σ = 80.9. And we draw a random sample of sizen =102
Q: A sample of n = 64 scores is selected from a population with µ = 80 and with σ = 24. On average, how…
A: Givenn=64μ=80σ=24
Q: If the sample has n = 18 scores, determine whether the sample is sufficient to conclude that the…
A:
Q: A sample is randomly selected from a population with a mean of μ = 50, and a treatment is…
A: Identify the most appropriate test to determine if there is difference between the means. The most…
(a) A population of size 20 is sampled without replacement. The standard deviation of the population is 0.35. Find the minimum
(b) A sample of 30 masks was taken randomly from the production line. Assume the strengths of the marks
follow a
Step by step
Solved in 2 steps with 2 images
- To compare the dry braking distances from 30 to 0 miles per hour for two makes of automobiles, a safety engineer conducts braking tests for 35 models of Make A and 35 models of Make B. The mean braking distance for Make A is 43 feet. Assume the population standard deviation is 4.6 feet. The mean braking distance for Make B is 46 feet. Assume the population standard deviation is 4.5 feet. At α=0.10, can the engineer support the claim that the mean braking distances are different for the two makes of automobiles? Assume the samples are random and independent, and the populations are normally distributed. The critical value(s) is/are Find the standardized test statistic z for μ1−μ2.A series of measurements of the angle of shearing resistance of a sand determined that the parameter had a mean value of 35º, a standard deviation of 3° and that its minimum and maximum values were 28° and 42° respectively. Fit the results to a symmetrical beta distribution.A population has parameters μ=37μ=37 and σ=54.8σ=54.8. You intend to draw a random sample of size n=209n=209.What is the mean of the distribution of sample means?What is the standard deviation of the distribution of sample means?(Report answer accurate to 2 decimal places.)
- A population has parameters μ=165.4μ=165.4 and σ=11.1σ=11.1. You intend to draw a random sample of size n=198n=198.What is the mean of the distribution of sample means?μ¯x=μx¯= What is the standard deviation of the distribution of sample means?(Report answer accurate to 2 decimal places.)σ¯x=σx¯=Suppose in a local Kindergarten through 12th grade (K -12) school district, 49% of the population favor a charter school for grades K through 5. A simple random sample of 144 is surveyed. a. Find the mean and the standard deviation of X of B(144, 0.49). Round off to 4 decimal places. O = b. Now approximate X of B(144, 0.49) using the normal approximation with the random variable Y and the table. Round off to 4 decimal places. Y - N( c. Find the probability that at most 81 favor a charter school using the normal approximation and the table. (Round off to z-values up to 2 decimal places.) P(X 75) - P(Y > a (Z > e. Find the probability that exactly 81 favor a charter school using the normal approximation and the table. (Round off to z-values up to 2 decimal places.) P(X = 81) - P(A population has parameters u = 239.9 and o = 18.4. You intend to draw a random sample of size n = 76. What is the mean of the distribution of sample means? What is the standard deviation of the distribution of sample means? (Report answer accurate to 2 decimal places.)A sample is selected from a population with A = 150. After a treatment is administered to the individuals, the sample mean is found to be = 140 and the standard deviation is S= 9. If the sample has n = 18 scores, determine whether the sample is sufficient to conclude that the treatment has significant effect. Use a two tail test with a = 0.02. (Assume the population is normally distributed)Suppose in a local Kindergarten through 12th grade (K -12) school district, 49% of the population favor a charter school for grades K through 5. A simple random sample of 144 is surveyed. a. Find the mean and the standard deviation of X of B(144, 0.49). Round off to 4 decimal places. O = b. Now approximate X of B(144, 0.49) using the normal approximation with the random variable Y and the table. Round off to 4 decimal places. Y - N( c. Find the probability that at most 81 favor a charter school using the normal approximation and the table. (Round off to z-values up to 2 decimal places.) P(X 75) - P(Y > a (Z > e. Find the probability that exactly 81 favor a charter school using the normal approximation and the table. (Round off to z-values up to 2 decimal places.) P(X = 81) - P(A sample of n=25 scores has a mean of M=68. Find the z-score for this sample: If it was obtained from a population with m=60 and s=10. If it was obtained from a population with m=60 and s=20. If it was obtained from a population with m=60 and s=40. A normal distribution has a mean of μ = 54 and a standard deviation of σ = 6. What is the probability of randomly selecting a score less than X = 51? What is the probability of selecting a sample of n = 4 scores with a mean less than M = 51? What is the probability of selecting a sample of n = 36 scores with a mean less than M = 51? A sample is selected from a population with a mean of and a standard deviation of . If the sample has scores, what is the expected value of and the standard error of If the sample has scores, what is the expected value of and the standard error of ? A random sample is obtained from a normal population with a mean of and a standard deviation of . The sample mean is Is this a…A population has a mean of 300 and a standard deviation of 40. Suppose a simple random sample of size 100 is selected and x¯ is used to estimate μ .What is the probability that the sample mean will be within +/- 5 of the population mean?A population has parameters u = 214.3 and o = 73.5. You intend to draw a random sample of size n = 237. What is the mean of the distribution of sample means? What is the standard deviation of the distribution of sample means? (Report answer accurate to 2 decimal places.) = 20Recommended textbooks for youMATLAB: An Introduction with ApplicationsStatisticsISBN:9781119256830Author:Amos GilatPublisher:John Wiley & Sons Inc
Probability and Statistics for Engineering and th…StatisticsISBN:9781305251809Author:Jay L. DevorePublisher:Cengage Learning
Statistics 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:PEARSON
The Basic Practice of StatisticsStatisticsISBN:9781319042578Author:David S. Moore, William I. Notz, Michael A. FlignerPublisher:W. H. Freeman
Introduction to the Practice of StatisticsStatisticsISBN:9781319013387Author:David S. Moore, George P. McCabe, Bruce A. CraigPublisher:W. H. FreemanMATLAB: 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 LearningElementary 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