Answered: from a population, the sample standard…

from a population, the sample standard deviation is 22.mthe upper bound of 95% confidence interval is 50, what is the value of sample mean?

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

See similar textbooks

Related questions

Q: A random sample of 21 Camden County College students had a mean age of 24 years, with a standard…

Q: A researcher developed a standardized test to measure anxiety so that the scores distribute normally…

A: Here we need to find the required proportion.

Q: The mean score on a stress test is 5 and the standard deviation is 2. The distribution is normal.…

A: The distribution is normal with mean score on a stress test 5 and the standard deviation 2. Let X is…

Q: The score for a standardized reading test are found to be normally distributed with a mean of 300…

A: The area under continuous distribution curve represents the proportion of data. So the area between…

Q: What distribution must be used to calculate confidence interval and hypothesis test if the standard…

A: GivenThe standard deviation of the population is unknown

Q: The mean value of the scores in a Statistics exam was 85 with a standard deviation of 4. Find an…

Q: Data on 4500 college graduates show that the mean time required to graduate with a bachelor's degree…

A: Given data: n = 4500 Mean(x-bar) = 6.35 years Standard deviation =1.73 years Confidence level = 95%

Q: The mean hours of worked for United Airlines pilots is 46 hours/month based upon a sample of 25…

A: Given: Sample size, n=25 Sample mean, X=46 hours Sample standard deviation, s=3 hours The level of…

Q: The mean age when smokers first start is 13 years old with a population standard deviation of 2…

A: Given that Sample size n =31 Sample mean =12.1 Population standard deviation =2

Q: The mean age when smokers first start is 13 years old with a population standard deviation of 2…

A: From the provided information, Sample size (n) = 31 Sample mean (x̄) = 12.4 Population standard…

Q: The mean age when smokers first start is 13 years old with a population standard deviation of 2…

A: Given Sample=30 Mean=12.2 Standard deviation=2 Significance level=0.01

Q: The mean total cholesterol level for men being treated for obesity is 175 with a standard deviation…

A: The mean of the sample means is 175.

Q: The mean age when smokers first start is 13 years old with a population standard deviation of 2…

A: The hypotheses for the test is given below.Null hypothesis:H0: µ = 13Alternative hypothesis:H1: µ ≠…

Q: A random sample of 106 body temperatures taken from healthy adults had a mean of 98.29o F and a…

A: According to the provided information, Mean (x̅) = 98.29 Standard deviation (σ) = 0.62 Sample size…

Q: If the mean= 85 and standard deviation =8 and n=64(sample size) construct a 95% confidence interval…

Q: he mean age when smokers first start is 13 years old with a population standard deviation of 2…

A: Given,Mean μ = 13Standard deviation σ = 2Sample size n = 35Sample mean x¯ = 12.4

Q: How much do wild mountain lions weigh? Six adult wild mountain lions are captured and released.…

A: Given data , 68, 104, 128, 122, 60, and 64.

Q: The mean age when smokers first start is 13 years old with a population standard deviation of 2…

Q: A statistics professor is in the process of investigating how many classes university students miss…

A: The population standard deviation is 2.2.

Q: Construct 100(1 − ?)% confidence interval for population means when the population variance is…

A: Level of significance: In testing of hypothesis, the level of significance is the probability of…

Q: The average length of time required to complete a college achievement test is approximately normal…

A: Given that Mean =65 Minutes Standard Deviation=11 Minutes

Q: The claim is that for 12 AM body temperatures, the mean is \mu > 98.6 The sample size is n = 3 and…

A: Given: The researcher's claim is that for 12 AM body temperature, the mean value is greater than…

Q: The annual per capita consumption of oranges (in pounds) in the United States can be approximated by…

Q: toy manufacturer wants to see how long, on average, a new toy captures children's attention. He…

A: The sample size is .The sample mean is .The sample standard deviation is .The confidence level is .

Q: How large a sample should be selected to provide a 95% confidence interval with a margin of error of…

A: The following information has been provided: The confidence level is 95%. The margin of Error is…

Q: A data set includes 109 body temperatures of healthy adult humans having a mean of 98.2°F and a…

A: The random variable X follows normal distribution. The sample size is 109. The sample mean is 98.2.…

Q: ion 4 of 19 Stacked The Graduate Management Admission Test (GMAT) is taken by individuals interested…

A: Population mean μ = 563Population standard deviation σ = 118Sample size n = 250Sample mean x¯ = 555

Q: In a test of the effectiveness of garlic for lowering cholesterol, 42 subjects were treated with…

A: Given: The number of subjects that were treated with garlic in a processed tablet form are n=42. The…

Q: Brown measured his book using a different shaped ruler. He got different measurements, namely 30,…

A: Given that Different measurements he got 30 , 35 , 29 , 33 , 32 , 28 , 28 , 35 Sum of data value =…

Q: is generation was done to see if the mean age has changed. The sample of 31 smokers found that their…

A: The null and alternative hypothesis for the given case is given as follows: H0: μ = 13H1: μ ≠ 13…

Q: The mean age when smokers first start is 13 years old with a population standard deviation of 2…

A: In order to test the claim that the smoking age has significantly changed from 13 years, conduct a…

Q: The mean age when smokers first start is 13 years old with a population standard deviation of 2…

A: Step 1:Given data : Sample size n=35Sample mean xˉ=12.3population standard deviation…

Q: A study analyzed the body fat percentage of 80 ISU students. The sample mean was 23.70 and the…

Q: The mean age when smokers first start is 13 years old with a population standard deviation of 2…

A: Given that The mean age when smokers first start is 13 years old with a population standard…

Q: The population standard deviation is 5 inches. The heights of 7 randomly selected students are 73,…

A: Given that Population standard deviation (σ) = 5 inches heights of 7 randomly selected students…

Q: According to a recent study, college students own a mean of 6.75 technological devices. (laptops,…

Q: I wanted to test if the mean Exam 3 score in this course was different than the mean Exam 2 score.…

A: Given, The sample mean of the differences = 2.0

Q: mean of the numbers of chocolate chips in a sample of 40 Chips Ahoy regular cookies is 23.95 and the…

A: Given that n = 40 , s = 2.55

Q: random sample of 100 commute times is collected from the entire population of commuters in the…

A: mean = 45 standard deviation = 30 n = 100

Q: The sample correlation is -0.8. If the sample size was 40, then the 99% confidence interval states…

Q: The mean age when smokers first start is 13 years old with a population standard deviation of 2…

A: Solution-: Given: μ0=13, σ=2, x¯=12.3, n=34, α=0.01=1% We want to find, (a) Null and alternative…

Q: A sample of six college basketball player had an average weight of 217 pounds with a sample standard…

A: Given, Sample size = 6 Sample mean = 217 Sample standard deviation = 10 Since the population…

Q: In a study of 110 women and 116 men, it was found that mean body temperature for women was 97.690 F…

A: From the provided information,

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

A random sample of size 121 is taken from a population, the sample standard deviation is 22.mthe upper bound of 95% confidence interval is 50, what is the value of sample mean?

Definition Definition Number of subjects or observations included in a study. A large sample size typically provides more reliable results and better representation of the population. As sample size and width of confidence interval are inversely related, if the sample size is increased, the width of the confidence interval decreases.

Expert Solution

Step 1

From The available information,

Sample size, n=121

Sample standard deviation is, s=22

The confidence level is,

C=95%=95/100=0.95

The level of significance is,

since the population standard deviation is unknown.use t test for computing the sample mean.

The degrees of freedom is,

df =n-1=121-1=120

Critical value:

Using excel function at 120 degrees of freedom with 0.05 level of significance , the two- tailed critical value is,

Step by step

Solved in 2 steps with 3 images

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, probability and related others by exploring similar questions and additional content below.

Similar questions

There is a sample of 30 people and their shower times. What is the 95% confidence interval when sample mean is 23.50 minutes and standard deviation is 9.69 minutes?
Find the sample size required to estimate the mean IQ of all college students. Assume we want a 90 per cent confidence level that the sample mean is within 2 IQ points of the true population mean. Also assume that the population standard deviation is 15 IQ points.
The annual per capita consumption of oranges (in pounds) in the United States can be approximated by a normal distribution. The mean annual per capita consumption of oranges (in pounds) is 19.2 with a standard deviation of 4 pounds. What annual per capita consumption of oranges represents the 5th percentile? What annual per capita consumption of oranges represents the third quartile? • The time spent (in days) waiting for a heart transplant in Ohio and Michigan for patients with A+ blood can be approximated by a normal distribution with a mean waiting time of 127 days and a standard deviation of 23.5 days. What is the minimum time spent waiting for a heart that would place a patient in the top 30% of waiting times? In a certain year, the nationwide SAT verbal score averaged 430 with a standard deviatioh of 96. Assuming a normal distribution and continuous scores over the scale, between what two values would you expect to find the middle 90% of SAT verbal scores in the year noted?…
We wish to estimate an average number of education years for a college student atWVC. We take a sample of 47 students and find that the mean is 5.3 years and standard deviation is 0.9years.Find the 95% confidence interval for the population mean.
A random variable is normally distributed with mean 84.2 and standard deviation 17.5. What value is 2 standard deviations below the mean?
You have a sample of 4 pairs from two populations. The mean of the paired differences is 10 and the standard deviation of the differences is 5. Test the hypothesis, at the 5% level of significance, that the population means are the same. State your conclusion as a sentence including the test statistic and the critical value.
The mean consumption of water per household in a city was 1239 cubic feet per month Due to a water shortage because of a drought, the city council campaigned for water use conservation by households. A few months after the campaign was started, the mean consumption of water for a sample of 92 househoids was found to be 1157 cubic feet per month. The population standard deviation is given to be 251 cubic feet a. Find the p-value for the hypothesis test that the mean consumption of water per household has decreased due to the campaipn by the city council. Would you reject the null hypothesis at a = 0.025? Round your answer to four decimal places. pvalue =i We b. Make the test of part a using the critical-value approach and a = 0.025. Round your answer for z to two decimal places. Zoberved We We conclude that the mean consumption of water per household has due to the campaign by the city council.
An EQ Test was administered to random sample of 130 grade school pupils. The sample mean was 95.8 with standard deviation of 10. Find 99% confidence interval.
What is the minimum required sample size to make a 96% confidence interval for a population mean if the margin of error is to be 2 inches and the standard deviation is thought to be about 12 inches?
can someone please help me? I keep getting this wrong so if someone could explain that would help so much. Thanks!! the t statistic test is -3.108 by the way!
Please do the following questions in the image with R coding
A random sample of 42 KU college students gave a mean age of their vehicles of 11.3 years and a standard deviation of 3.4 years. A separate random sample of 38 KU college employees gave a mean vehicle age of 9.2 years with a standard deviation of 3.1 years. Find a 90% confidence interval for the difference in the population mean of vehicle ages between students and employees, u1-u2. Use students as the first population.