Let the mean of the chance sample drawn from a population whose variance is known as 16 and normally distributed is determined as x = 12.8. What should be the sample width at which the mean is obtained so that the length of the 95% confidence interval for the population mean parameter U is 2.5 units?

Q: Find a 95% confidence interval for the sample mean of Y = X̄12 + X̄22 when X̄'s are obtained from…

A: Given X¯'s are obtained from standard normal population.

Q: Assuming that both populations are normally distributed, construct a 95% confidence interval about…

A: Sample Size Sample mean Sample S.D Sample 1 n₁ = 20 x̅₁ = 46 s₁ = 4.5 Sample 2 n₂ =25 x̅₂…

Q: The number of M&Ms in a 6 oz bag is normally distributed with a mean of 18.45 and a standard…

A:

Q: A sample of size 10 has a sample mean of 1000 and a sample variance of 100. Then a 90% Confidence…

A: We have given that,  Sample mean (x̄) = 1000 and sample variance (s^2) = 100 and sample size (n) =…

Q: A sample of size 85 from a population having standard deviation o = 45 produced a mean of 254.00.…

A:

Q: Assume that the population of serum amylase determinations from which the sample of size  15 (s = 33…

A: s = 33 n = 15 CL = 0.98

Q: A random sample of size 20 yields has a sample mean of 3.13 and a sample variance of 1.45. Calculate…

A: Given data, n=20 x=3.13 s2=1.45 s=1.20 α=0.01df=n-1=19tc at α=0.01 and df=19 is tc=2.861

Q: The minimum sample size needed to construct a 95% confidence interval for u, with error not…

A: formula for the sample size needed to estimate a population mean is

Q: A statistical research yields to the sample proportion of a certain feature in a certain community…

A: Givensample proportion(p^)=0.80Margin of error(E)=0.09Confidence level(α)=90%

Q: A random sample of size n = 40 is drawn from a population with the 9) ( (unknow population mean µ.…

A:

Q: A researcher studying reaction time of drivers states that, A 95% confidence interval for the time…

A:

Q: Use The t Distribution Table to find the tn value for a 90% confidence Interval for the mean when…

A:

Q: A random sample of size 20 yields has a sample mean of 3.13 and a sample variance of 1.45. Calculate…

A:

Q: The heights, in inches, of orangutans are normally distributed with a population standard deviation…

A: Here, σ=3, n=17, confidence level=95% .

Q: Let the mean of the chance sample drawn from a population whose variance is known as 16 and normally…

A: Given: x=12.8 and σ2=16.   The value of z at 95% confidence level is 1.96.

Q: f a random sample of size n = 20 from a normal population with the variance = 25 has the mean ī =…

A:

Q: If you were constructing a 95% confidence interval of the population mean based on a sample of n =…

A: Obtain the critical value of t. The critical value of t is obtained below: Obtain the degrees of…

Q: Suppose that the waiting times for patients at a local hospital are normally distributed with a…

A: solutionGiven the waiting time forpatients at a local hospital arenormally distributedPopulation…

Q: Suppose that the population standard deviation of student scores is 20. What will be the sample size…

A:

Q: Let the mean of the chance sample with a width of n = 9 taken in a normally distributed population…

A: The confidence interval gives a plausible range of values for an unknown parameter based on the…

Q: find the t/α2 value for a 98% confidence interval for the mean when the sample size is 39.  t/α2=

A: The objective is to find the critical value for 98% confidence interval for the mean.

Q: Let the observed value of the mean of a random sample of size n=20 from a normal distribution with…

A:

Q: A sample of size 26 has a sample variance of 100. Then a 90% Confidence Interval for o? is < o? <

A:

Q: Find a 98 % confidence interval for the mean of a normal distribution with known variance σ^2=16 ,…

A: Given, mean= 5 n=100 variance =σ2= 16  So, standard deviation=σ= 4 Confidence level= 98%= 0.98

Q: A sample of size n = 25 with the population standard deviation o = 3, compute the margin of error of…

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Q: A sample of size 16 was taken from a very large population. Sample statistics, x¯ and s, were used…

A:

Q: find the critical value t of alpha over 2 used to construct  the confidence interval for a mean from…

A: It is given that n is 5 and level of significance is 0.02.

Q: A símple random sample of size 100 has mean 15, the population variance being 25. Find an interval…

A:

Q: A statistical research yields to the sample proportion of a certain feature in a certain community…

A:

Q: A study is to be performed to determine a certain parameter in a community. From a previous study a…

A: We have given :  Standard deviation = 46 Sample error = 4 We have to find out n for 99% of…

Q: The mean annual income of certified welders is normally distributed with a mean of $50,000 and a…

A: The level of significance is 0.10.

Q: Find a 95% confidence interval for the variance when a random sample of size 10 is taken from a…

A: From the given information, the sample size is 10 and the sample variance is 16.00. Given that the…

Q: An interval estimate with a 99% confidence means that there is 0.99 probability that the population…

A: We have to interpret the confidence interval.

Q: Suppose a random sample of 25 individuals is taken and that average annual salary for that sample is…

A: From the given information, Sample size (n) =25 x=54000s=12000   Since, population standard…

Q: A sample of size 12 has d mean of 29 and a standard deviation of 6. Assuming the population is…

A: Given that sample size n = 12 Sample mean = 29 Sample SD = 6 The critical value of t at (n - 1) = 11…

Q: Assume that the population has a normal distribution. 5) The mean replacement time for a random…

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Q: The required sample size for the interval estimation of the population mean µ can be computed if we…

A:

Q: Use this data to calculate the mean WISC score, x, for these 40 students. Next, compute the standard…

A: Solution: From given data, you found correct sample mean as x = 118.7 As we have to find…

Q: Now suppose of interest is to estimate the mean number of children attending all 2017 Veterans Day…

A:

Q: Find the level of a two-sided confidence interval that is based on the given value of tn−1,α/2and…

A:

Q: A sample of size 25 was taken from a very large population. Sample statistics, x¯ and s, were used…

A:

Q: A random sample of size 30 from a normal population yields x̅ = 69  and s = 4.  The lower bound of a…

A:

Q: Random samples of sizes n1 = 25 and n2 = 20 were selected from populations A and B, respectively.…

A: Given :

Q: A recent study! found that, of the 1771 participants aged 12 to 19 in the National Health and…

A: H

Q: A research scholar wants to know how many times per hour a certain strand of virus reproduces. He…

A: From the provided information, Confidence level = 90% Margin of error (E) = 0.2 Population variance…

Q: Suppose that the waiting times for patients at a local hospital are normally distributed with known…

A: Given data,σ=30n=75x=90z-value at 95% confidence is Zc=1.96Margin of error(E)=?

Q: Suppose x has a mound-shaped distribution witho = 3. Find the minimal sample size required so that…

A:

Q: For a random sample of 36 items and a sample mean of 211, compute a 95% confidence interval for u if…

A: According to the given information, we have Population standard deviation = 23 Sample size = 36…

Q: a) Find a 90% confidence interval estimate for the mean college football score if a sample of 100…

A: a) Given data, σ=6n=100x=46z-value at 90% confidence is Zc=1.645

Q: An article reports that in a sample of 9 men, the average volume of femoral cartilage (located in…

A: Degrees of freedom:

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.