7. Bob draws a simple random sample from an original population. The sample size is n = 51, the sample78, and the sample standard deviation turns out to be s =mean turns out to be x14. Find the 95%confidence interval for the population mean µ.А. (74.062, 81.938)В. (74.062, 83.948)С. (74.062, 85.958)D. (74.062, 87.968)

According to the given information, we have Sample mean = 78 Sample standard deviation = 14 Sample…

7. Bob draws a simple random sample from an original population. The sample size is n = 51, the sample mean turns out to be = 78, and the sample standard deviation turns out to be s = 14. Find the 95% confidence interval for the population mean µ. А. (74.062, 81.938) В. (74.062, 83.948) С. (74.062, 85.958) D. (74.062, 87.968)

7. Bob draws a simple random sample from an original population. The sample size is n = 51, the sample mean turns out to be = 78, and the sample standard deviation turns out to be s = 14. Find the 95% confidence interval for the population mean µ. А. (74.062, 81.938) В. (74.062, 83.948) С. (74.062, 85.958) D. (74.062, 87.968)

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: A sample (X1, X2,..., X70) of size 70 was drawn from a population X. The mean of X is 30 and its…

A: According to the central limit theorem, when a sample a sufficiently large sample (size >= 30) is…

Q: A simple random sample of 40 items resulted in a sample mean of 25. The population standard…

A: Solution:- Given that n=40 sample mean X=25…

Q: To compare the dry braking distances from 30 to 0 miles per hour for two makes of automobiles, a…

A: we have given that n1=35 ,n2=35 xbar1=44 ,xbar2=46 ,sigma1=4.9, sigma2=4.7 and alpha =0.10 Note :…

Q: A simple random sample of 60 items resulted in a sample mean of 84. The population standard…

A: a. From the z-table, the critical value corresponding to 95% is 1.96 The 95% confidence interval for…

Q: A population has a mean μ=164 and a standard deviation σ=24. Find the mean and standard deviation of…

A: The mean is 164, the standard deviation is 24 and the sample size is 47.

Q: Suppose Diane and Jack are each attempting to use a simulation to describe the sampling distribution…

A: Mean = 70Standard deviation = 5Diane's n = 3Jack n = 40

Q: 29. A simple random sample of size n = 36 is taken from a normally distributed original population.…

A: Given Sample size, n = 36 Degree of freedom, n-1 =35 Sample standard deviation, s =7 α = 0.99 α2…

Q: Suppose that you draw a random sample from a population where you know the population mean is 36 and…

Q: A population has a mean μ = 157 and a standard deviation o=20. Find the mean and standard deviation…

A: Following solution is provided below

Q: At α=0.10, can the engineer support the claim that the mean braking distances are different for the…

A: For make A, sample size n1 = 35, sample mean = 40 and population SD = 4.8 For make B, sample size n2…

Q: Q10. Here is a calculation in a spreadsheet of the 5 numbers in a population of x = {1,2,3,4,5}.…

Q: A sample of n = 4 scores was collected from a population with unknown parameters. Scores: 1, 4, 6,…

A: Given that Sample size (n) = 4 Sample scores = 1 , 4 , 6 , 1 Sum of scores = 1+4+6+1 = 12 We know…

Q: Suppose a random sample of exponential random variables X1, ..., Xn is taken. Find the meanand…

A: Step 1:The sample mean, denoted by ˉXˉ, of a random sample of exponential random variables…

Q: Q10. A population, T is normally distributed with unknown mean, µ and variance 49. A sample of size…

Q: A population, T is normally distributed with unknown mean, u and variance 49. A sample of size 9…

A: Given : Population variance (σ2) = 49 Sample size (n) =9 Sample mean (X¯) = 20 Confidence level =…

Q: A population has a mean μ=169 and a standard deviation σ=21. Find the mean and standard deviation…

A: Mean()=169standard deviation()=21sample size(n)=46

Q: A population has a mean μ = 137 and a standard deviation o=20. Find the mean and standard deviation…

A: The question is about sampling distributionGiven :Mean of Population ( ) = 137Standard deviation…

Q: a. Calculate the estimate of the total profit using Ŷ. b. Is this an unbiased estimator for the…

A: Given,the total profit for of the largest computer companies was known to be (million dollars).For…

Q: A nutritionist claims that the mean tuna consumption by a person is 3.3 pounds per year. A sample of…

A: Given, Sample size = 70 Sample mean = 3.1 Population standard deviation = 1.14

Q: 11.A sample with a mean of M = 40 and a variance of s2 = 20 has an estimated standard error of 1…

Q: Find all the possible sample standard deviations of size n=2 (with replacement) from the population…

Q: A sample of 20 items provides a sample standard deviation of 4. a. Compute the 90% confidence…

Q: Q10. A population, T is normally distributed with unknown mean, µ and variance 49. A sample of size…

A: We have given that, Sample mean = 20 , variance (σ2) = 49 and sample size (n) = 9 then, standard…

Q: A simple random sample of 60 items resulted in a sample mean of 71. The population standard…

Q: A scientist studying babies born prematurely would like to obtain a n estimate for the mean birth…

A: It is given that confidence level is 0.99, standard deviation is 2.5 and the margin of error E is…

Concept explainers

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.

Question

7. Bob draws a simple random sample from an original population. The sample size is n = 51, the sample
78, and the sample standard deviation turns out to be s =
mean turns out to be x
14. Find the 95%
confidence interval for the population mean µ.
А. (74.062, 81.938)
В. (74.062, 83.948)
С. (74.062, 85.958)
D. (74.062, 87.968)

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

SEE SOLUTION Check out a sample Q&A here

Step 1: Given information

VIEW

Step 2: Confidence interval

VIEW

Step by step

Solved in 2 steps

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Point Estimation, Limit Theorems, Approximations, and Bounds$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.

Similar questions

A population has a meanu= 157 and a standard deviation o= 27. Find the mean and standard deviation of the sampling distribution of sample means with sample size n= 54. The mean is µ; = |, and the standard deviation is o; = (Round to three decimal places as needed.)
There are four numbers in a data set. They are 5, 3, 7, and 11. a) What is the ∑∑ x2x2 b) What is the (∑x)2(∑x)2 c) The formula for the population variance, σ2σ2 is ∑x2−(∑x)2nn∑x2-(∑x)2nn Use parts a and b to help calculate the population variance. d. Now get the population standard deviation.
An IQ test is designed so that the mean is 100 and the standard deviation is 10 for the population of normal adults. Find the sample size necessary to estimate the mean IQ score of statistics students such that it can be said with 99% confidence that the sample mean is within 8 IQ points of the true mean. Assume that σ=10 and determine the required sample size.
A simple random sample of 25 has been collected from a normally distributed population for which it is known the standard deviation is 17. The sample mean has been calculated as 342 and the sample standard deviation of 14.9. Construct a 95% confidential interval for the population mean
A sumple from a normal population with mu = 50 and sigma = 6 of M=48.20, . the sample mean.corresponds to tz = - 1.50 , then how many scores are in the sample?
Solve for the following
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 41 feet. Assume the population standard deviation is 4.6 feet.The mean braking distance for Make B is 42 feet. Assume the population standard deviation is 4.4 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. Complete parts (a) through (e). (a) Identify the claim and state Ho and Ha. What is the claim? A.The mean braking distance is different for the two makes of automobiles. This is the correct answer. B.The mean braking distance is the same for the two makes of automobiles. C.The mean braking distance is less for Make A automobiles than Make B automobiles. Your answer is…
A population has a mean μ=40 and a standard deviation σ=4. What is the standard deviation of the sampling distribution of the sample means if the sample size is n=16?
10
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?