Suppose we have a population with a normal distribution with mean = 50 and standard deviation = 10. 6.107 Suppose we want to choose a large enough sample so that the sample mean is within 1 unit of the population mean 99% of the time. What is the minimum sample size to achieve this goal?

Q: A normally distributed population with unknown variance has a mean of 20. If you took a random…

A: Given,  X is normally distributed with mean μ=20 and variance is unknown. A random sample of size…

Q: Consider the variable x = time required for a college student to complete a standardized exam.…

A: The proportion of students at this university would be unable to finish in the allotted time when 50…

Q: If a population has a mean of 228.8 and a standard deviation of 35.5 then a sampling distribution…

A: Given that, mean is 228.8 and standard deviation is 35.5. We will use z-standard normal…

Q: From sample sizes of 36 adults find the proportion of sample means having values of at least 170.

A: Here Given  Sample size=n=36  Population mean=μ=162 Population SD=σ= 58

Q: 2. The average time spent sleeping (in hours) for a group of medical residents at a hospital can be…

A: Given that  X~N(μ= 6.1 , σ= 1) μ= 6.1 , σ= 1 Formula for Z-score Z=(X-μ)/σ

Q: Suppose heights, in inches, of male orangutans have an unknown distribution with mean 56 and…

A: According to the central limit theorem,

Q: Suppose x has a distribution with a mean of 13.9 and a standard deviation of 2.1. Random samples of…

A: The mean is 13.9 and the standard deviation is 2.1, and the sample size is 49.

Q: The nails produced by a machine are assumed to have a mean of 5.0 cm. A random sample of 80 nails…

A: Null hypothesis: H0: µ=5. Alternative hypothesis: H1:µ>5. This is a right tailed test. Here, the…

Q: Suppose we have a population with a normal distribution with mean = 50 and standard deviation = 10…

A: Population standard deviation, sigma is 10. The z-critical value for 99% confidence interval is…

Q: A sample of 25 observations is taken from an infinite population with a mean of 45 and a standard…

A: It is given that, the mean and standard deviation are 45 and 10.

Q: A sample of n = 25 scores is determined to have a standard error of 2 points. what is the standard…

A: Given data, SE=2 n=25 s=?

Q: Suppose that you want to estimate the mean time it takes drivers to react following the application…

A: Note: Hi there! Thank you for posting the question. As there are multiple sub parts, according to…

Q: A psychologist believes that it will take at least an hour for certain disturbed children to learn a…

A:

Q: If the population standard deviation is 17, at 95% CI, sample mean is within 5 of the population…

A:

Q: suppose x has a normal distribution with mean= 18 and standard deviation =13. If you draw ramdom…

A: Given that mean=18 S.D=13 N=5

Q: If a student computes the standard deviation that was due to the analysis error from a homogenous…

A: Given SD from homogenous sample = 0.04 SD from heterogeneous sample = 0.05

Q: Suppose that the economic growth of a country is normally distributed with mean μ = 8 ppt, and…

A: Given : Economic growth of a country is normally distributed with mean μ = 8  and standard deviation…

Q: Suppose that the average number of hurricanes heading to RGV is 32 per year witha standard deviation…

A: It is given that the, Hurricanes heading follows the normal distribution with the average number of…

Q: A random sample of size 25 from a normal population has mean 47.5 and standard deviation 8.4. Does…

A: In order to test the claim that the mean of the population is 42.1, conduct a single mean comparison…

Q: If the population standard deviation is 8, at 95% CI, sample mean is within 4 of the population mean…

A:

Q: Women have pulse rates that are normally distributed with a mean of 77.5 beats per minute and a…

A: Given information Mean µ = 77.5 beats per minute Standard deviation σ = 11.6 beats per minute

Q: A random sample of size n1=25 taken from normal population with standard deviation =5.2 has mean…

A: From the provided information,

Q: Jam collects a sample with size 16 from a normally distributed population. The sample gives a mean…

A: Given : Sample size (n) = 16 Sample mean (X) = 30.4 Sample standard deviation (s) = 6.2 α = 0.001

Q: 7. For a population with a standard deviation of σ = 20, how large a sample is necessary to have a…

A: Standard deviation: Standard deviation is defined as the positive square root of Variance. It is…

Q: Assume the random variable X is normally distributed with a mean of 50 and a standard deviation of…

A:

Q: Suppose x has a normal with mean =20 and standard deviation =12. If you draw a random samples of…

A: Given: x~N(μ,σ)μ=20σ=12

Q: A sample of size 10 has a mean of 87 and a standard deviation of 8.5 is to be used to test the null…

A:

Q: 2) based on earlier studies it is known that the standard deviation is 12.3 days per year. How large…

A:

Q: 1. If the standard deviation of the mean for the sampling distribution of random samples of size 36…

A:

Q: Assume that the test scores for a large class are normally distributed with a mean of 64 and a…

A: Solution-: Given: We find P(the class received a higher score than 78)=?

Q: The average number of moves a person make in his/her lifetime is 12 and the standard deviation is…

A: Given,sample size(n)=25mean(μ)=12standard deviation(σ)=3.5

Q: In a specific year, SAT scores were Normally distributed with mean 1026 and standard deviation 209;…

A: Solution-: (a) Given: μ=1026,σ=209 We find P(scores will be above 1300)=? (b) Given: μ=1500,σ=250 We…

Q: Suppose a normal distribution has a mean of 50 and a standard deviation of 3. What is P(xs 53)?

A:

Q: Suppose the data have a bell-shaped distribution with a mean of 30 and a standard deviation of 5.…

A: a. The given information is that the data have bell shaped distribution with a mean of 30 and a…

Q: Random samples of size 25 are taken from an infinite population whose mean is 160 and standard…

A:

Q: Suppose a random sample of n = 25 observations is selected from a population that is normally…

A:

Q: Suppose weights of running shoes have an unknown distribution with mean 11 and standard deviation 2…

A: The standard deviation from the sample mean distribution is obtained below: From the information,…

Q: Suppose a random sample of size 1000 is selected from a large population where the population mean…

A: Obtain the standard error of the mean of the sampling distribution. The standard error of the mean…

Q: A sample of size 8 has a mean of 71 and a standard deviation of 8.5 is to be used to test the null…

A: Given that sample size n = 8 Sample mean = 71 Population SD = 5 Sample SD = 8.5

Q: If you draw a sample of size 10 from a population of size 35 with a population mean of 83.4 and…

A: In question, Given that you draw a sample of size 10 from a population of size 35 with a population…

Q: the sample size needed to estimate a population mean with 2 units with 95% confidence when the…

A:

Q: A sample of size 50 will be drawn from a population with mean 76 and standard deviation 14. Find the…

A:

Q: uppose samples of size 100 are drawn randomly from a population that has a mean of 20 and a standard…

A: Given that, μ=20,σ=5,n=100 The mean and standard deviation of the sampling distribution of sample…

Q: "suppose that a random sample of size 20 is taken from a normal distribution with unknown variance…

A: Given: n=20 μ=Unknownx=10σ2=1Andμ(Posterior)=15σ(Posterior)=0.1

Q: Suppose you could take all samples of size 77 from a population with a mean of 12 and a standard…

A: Given data, Mean μ=12 sd      σ=3.2 n=77 standard deviation of the sample means σx=?

Q: The capacitances of certain electronic components have a normal distribution with a mean μ = 175 and…

A: Given: Electronic components have a normal distribution with μ=175, σ=2.5 Sample size, n=10

Q: Suppose x has a distribution with a mean of 50 and a standard deviation of 36. Random samples of…

A: Solution: From the given information, X has a mean µ=50 and a standard deviation σ=36. The sample…

Q: the sample size needed to estimate a population mean within 2 units with 95% confidence when the…

A: From the provided information, Population standard deviation (σ) = 8 Margin of error (E) = 2…

Q: An elephant eats an average of 3 bushels of alfalfa per day, with a standard deviation of 0.8…

A: Let x be the number of bushels of alfalfa which follows normal distribution with mean 3 and standard…

Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.