Construct a 95% confidence interval to estimate the population mean when x = 54 and s = 10.1 for the sample sizes below.a) n=22b) n= 43c) n= 60...a) The 95% confidence interval for the population mean when n= 22 is from a lower limit of ito an upper limit of(Round to two decimal places as needed.)

Answered: a) The 95% confidence interval for the…

a) The 95% confidence interval for the population mean when n= 22 is from a lower limit of an upper limit of (Round to two decimal places as needed.)

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

See similar textbooks

Related questions

Q: Suppose that you take 1000 simple random samples from a population and that, for each sample, you…

Q: b. Construct a confidence interval suitable for testing the claim that those treated with magnets…

A: Given, Treatment Sham μ μ1 μ2 n 25 25 x 0.53 0.41 s 0.67 1.47

Q: 1. Determine the critical value (z*) you would use to create a 94% confidence interval.

Q: IF n < 30 AND T = SHOW HOW THE 100(1-2a) % CONFIDENCE INTERVAL FOR μ IS DERIVED

A: Given n<30, construc 100(1-2ɑ)% CI for population mean μ

Q: When constructing a confidence interval for μwhen σis known, we assume that we have a simple random…

A: The standard deviation measures the distance between each data point and the mean. It measures the…

Q: Construct a 99% confidence interval to estimate the population mean using the data below. x=51 o =…

A: From the given information, x¯=51σ=12n=35 Given that 99% confidence level. The z critical value is…

Q: The purpose of a confidence interval is: O To test a claim about a population parameter. To find a…

A: It is needed to find the purpose of confidence interval.

Q: In a recent survey, a random sample of OSU football fans was asked if they would consider dating…

A: Solution: The 95% confidence interval for the population proportion p is ( 0.66, 0.80) Lower limit…

Q: A sample of size 10 has a sample mean of 1000. Knowing that o?=100, then a 95% Confidence Interval…

A: We want to find confidence interval Here z will be used as population standard deviation is known

Q: 4. Determine the value of z, that would be used in constructing a 90%confidence interval for a…

Q: If a 95% confidence interval for the difference in two independent means is (-4.5 to 2.1), then the…

A: Point estimate= (-4.5+2.1/2) Point estimate=-2.4/2 Point estimate= -1.2

Q: Suppose that 100 samples of size n = 50 are independently chosen from the same population and that…

A: The confidence interval at 100 (1 – α) % confidence level gives us an interval estimate about the…

Q: Determine the confidence level for confidence interval shown in the figure belov

A: The confidence level is described as (1 - α)

Q: The t distribution is used to make a confidence interval for the population mean if the population…

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

Q: the data obtained from the sample of children. Of the following, which is the smallest sample size…

A: It is given that Population SD = 1.5 Margin of error E = 0.1 Level of confidence = 99% The critical…

Q: (b) Construct a 90% confidence interval for o² if the sample size, n, is 30. The lower bound is…

A: The sample variance is 12.2 and the sample size is 30.

Q: Suppose X1.......,Xn is a sample of success and failures from a Bernoulli population with…

Q: 8. A sample of size n 100 is taken from a population that has a proportion a. Find δ such that…

A: Given Sample size = n = 100p = 1/5 = 0.2Here given that P(|p^-p| ≥ ?) = 0.025 we need to find value…

Q: What is the minimal sample size needed for a 95% confidence interval to have a maximal margin of…

Q: Which of the following is nota condition for constructing a confidence interval to estimate the…

A: Correct answer is C. When samples are taken without replacement, each population must be at least 10…

Q: a)In a random sample of 31 professional actors, it was found that 24 were extroverts. Find a 98%…

A: a) Given data, n=31 x=24 sample proportion p=xn=2431=0.774 z-value at 98% confidence is Zc=2.326

Q: (b) Find a 90% confidence interval for the P/E population mean μ of all large U.S. companies. (Round…

A: It is given that the P/E ratios of random selected 51 largest companies in the Unites States.

Q: An article published in the Canadian Journal of Zoology presented a method for estimating the body…

A: Solution

Q: Find t* for a 80% confidence interval based on N = 45 randomly selected observation

A: Given, Sample size n = 45 80% confidence interval

Q: Let us give a 95% confidence interval estimate for the population mean. If the sample mean is 1000…

A: Given Data: Sample mean(x¯)=1000 Standard error(SE)=50 Confidence Level=95%

Q: 13. In a recent survey, a random sample of OSU football fans was asked if they would consider dating…

Q: Suppose we take a random sample, N = 64, from the Texas population of adults and find that the…

A: It is given that, Sample size, n=64 x̅=14 and σ=4 We have, Z0.05/2 = 1.96 We can find 95% confident…

Q: 1. A simple random sample of 400 individuals provides 100 yes responses. Compute the 90%, 95%, and…

Q: A confidence interval is narrower if you use t than if you use Z. (Assume all else is the same.)…

A: We want to know the given statement is true or not

Q: A random sample of n measurements was selected from a population with unkown mean μ and standard…

A: Note: Please repost part d ,e as i can answer only first 3 subparts as per my policy.

Q: 7 14 9 8 11 4 1 16 Assuming that such times for all employees are normally distributed, make 95%…

Q: 14. Based on these results, a 95% confidence interval for . the coefficient of the variable $ Per…

A: Using the given table, Coeff for $Per Pupil = -0.012169 Standard error for $per Pupil = 0.0031

Q: 2 3. 4 5. 6 10 In random, independent samples of 225 adults and 200 teenagers who watched a certain…

Q: A 99% confidence interval for the average weight probability of a population is computed from a…

A: It is provided that the 99% confidence interval for the average weight probability of a population…

Q: An article published in the Canadian Journal of Zoology presented a method for estimating the body…

A: Solution

Q: An article published in the Canadian Journal of Zoology presented a method for estimating the body…

A: We have given 95% confidence interval for the average body fat percentage of porcupines is 17.4% to…

Q: If x is a value of a random variable having an exponen-tial distribution, find k so that the…

Q: According to the Central Limit Theorem (CLT), as sample size increases, the confidence intervals:…

A: The sample size is inversely proportion to standard error. If the sample size increases then the…

Q: A simple random sample of size n is drawn from a population that is normally distributed. The sample…

A: From the provided information, Sample mean (x̄) = 114 Standard deviation (s) = 10

Q: The general rule for the use of the Central Limit Theorem to reasonably assume that ¯xx¯ is normally…

A: The Central Limit Theorem states that the distribution of total or mean is approximately normal for…

Q: 7. The financial aid director of a college believes that at least 30% of the students are receiving…

A: Given Population proportion p=0.30, n=sample size=60, n=sample size=60, x=15, level of significance…

Q: IF n < 30 AND T = SHOW HOW THE 100(1-2a) % CONFIDENCE INTERVAL FOR IS DERIVED

A: If the sample size is less than 30 and the sample standard deviation is not known, one sample t-test…

Q: The biologist is studying Black Carp invasiveness in Lake Ontario next. He doesn't have time to…

A: Given,n=75x=29sample…

Q: In a Two Tailed Hypothesis Test, the calculated Z-test statistic is found to be Z=1.31 Use either…

Q: From a large number of actuarial exam scores, a random sample of 275 scores is selected, and it is…

A: Total number of scores = n = 275, Number of passing scores = x = 206. Here, significance level is…

Q: A random sample of size 30 from a normal population yields = 39 and s = 4.9. The lower bound of a…

A: Note:Hey there! Thank you for the question. In the first line, it is written “A random sample of…

Q: IF n < 30 AND T = Ý-μ SI√n² SHOW HOW THE 100(1-2α)% CONFIDENCE INTERVAL FOR IS DERIVED

Question

Construct a 95% confidence interval to estimate the population mean when x = 54 and s = 10.1 for the sample sizes below.
a) n=22
b) n= 43
c) n= 60
...
a) The 95% confidence interval for the population mean when n= 22 is from a lower limit of i
to an upper limit of
(Round to two decimal places as needed.)

Expert Solution

Step 1

It is given that $\bar{x} = 54$ and $s = 10.1$ .

It is required to find the 95% confidence interval for the different sample sizes n=22, 43, and 60.

The level of significance is 0.05 i.e. 5%.

Trending now

This is a popular solution!

Step by step

Solved in 4 steps

SEE SOLUTION Check out a sample Q&A here

Similar questions

Assume I observe 3 data points x1, x2, and x3 drawn independently from anunknown distribution. Given a model M, I can calculate the likelihood for each data point as Pr(x1 | M) = 0.5, Pr(x2 | M) = 0.1, and Pr(x3 | M) = 0.2. What is thelikelihood of seeing all of these data points, given the model M: Pr(x1, x2, x3 | M)?
A simple random sample of size n<30 has been obtained. From the boxplot, judge whether a t-interval should be constructed.
Let Yn denote the nth order statistic of a random sample of size n froma distribution of the continuous type. Find the smallest value of n for which theinequality P(ξ0.9 < Yn) ≥ 0.75 is true.
Ignaz Semmelweiss (1818-1865) was the doctor who first encouraged other doctors to wash their hands with disinfectant before touching patients. Before the new procedure was established, the rate of infection at Dr. Semmelweiss' hospital was about 10%. Afterward the rate dropped to about 1%. Assuming the population proportion of infections was 10%, find the probability that the sample proportion will be 1% or less, assuming a sample size of 200. Start by checking the conditions required for the Central Limit Theorem to apply.
Show that the t-distribution with r = 1 degree of freedom and the Cauchydistribution are the same.
A 99 percent one-sample z-interval for a proportion will be created from the point estimate obtained from each of two random samples selected from the same population: sample R and sample S. Let R represent a random sample of size 1,000, and let S represent a random sample of size 4,000. If the point estimate obtained from R is equal to the point estimate obtained from S, which of the following must be true about the respective margins of error constructed from those samples? (A) The margin of error for S will be 4 times the margin of error for R. (B) The margin of error for S will be 2 times the margin of error for R. (C) The margin of error for S will be equal to the margin of error for R. (D) The margin of error for R will be 4 times the margin of error for S. (E) The margin of error for R will be 2 times the margin of error for S.
The central limit theorem states that if all possible random samples of sizeNare drawnfrom a population with a mean ofμ ̄Xand a standard deviation ofσ ̄X, then asNbecomeslarger, the sampling distribution of sample means becomes approximately (_______) with a mean of (______) and a standard deviation of (______). Fill in the blanks
According to the central limit theorem (CLT), no matter which distribution the data is collected from, as long as some conditions are met, we can always expect the sample average to behave like a normal random variable, i.e., the sampling distribution can be approximated by a normal distribution. Which is NOT a CLT condition for sample mean? a) The sample size has to be larger than 10. b) The original distribution of the data is Normal. c) A random sample with sample size is less than 30 with no outliers. d) A random sample with sample size is larger than 30 with no extreme outlier
Test samples of mild steel rods are selected randomly from a large number of rods with mean strength 65 kips per rod and standard deviation 10 kips. Find the approximate values for the probability that 10 rods bundled together would have a combined strength (a) less than 680 kips, (b) less than 640 kips, (c) greater than 640 kips. (Hint: use the central limit theorem)
Are the sample sizes large enough for the central limit theorem?A) Yes because on sample sizes of 40 are neededB) Yes because on sample sizes of 15 are neededC) Yes since it is normally distributed any sample size will workD) No because the sample is small for the central limit theorem to apply
If X is a uniformly distributed random varibale with a=2 and b=6, then Calculate the standard deviation of X? Round to three decimal places
A researcher is using a two-tailed hypothesis test with α = 0.05 to evaluate the effect of a treatment. If the boundaries for the critical region are t = ± 2.080, then how many individuals are in the sample?