Salaries of 46 college graduates who took a statistics course in college have a mean, x, of $65,100. Assuming a standard deviation, σ, of $13,840, construct a 90% confidence interval for estimating the population mean μ.

Salaries of 46 college graduates who took a statistics course in college have a mean, x, of $65,100. Assuming a standard deviation, σ, of $13,840, construct a 90% confidence interval for estimating the population mean μ.

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: According to National Health Survey heights of men are normally distributed with standard deviation…

A: From the provided information, Population standard deviation (σ) = 2.50 Let X be a random variable…

Q: Assuming cholesterol data indicated a mean total cholesterol level for adult persons 20 years of age…

A: The probability that a randomly selected sample of 25 adults will have a mean level < 180 is…

Q: Suppose that the antenna lengths of woodlice are approximately normally distributed with a mean of…

Q: If a population has a standard deviation σ of 36 units, what is the standard error of the mean if…

A: The population standard deviation is 36.

Q: The tread life of a certain brand of tires is known to be normally distributed with a mean of 40,000…

A: From the provided information, Mean (µ) = 40000 miles Standard deviation (σ) = 2000 miles X~N…

Q: A student received a grade of 82 on an exam in a large course. Standardizing this mark gave the…

Q: Suppose a small paint manufacturing company has a daily production that is normally distributed with…

A: Solution: It is given that a small paint manufacturing company has a daily production that is…

Q: assuming that adults have IQ scores that are normally distributed with a mean of 102.4 and a…

A: Introduction: Denote X as the IQ score of a randomly selected adult. It is given that X has a normal…

Q: You may need to use the appropriate appendix table or technology to answer this question A magazine…

Q: For a population with mean 90 and standard deviation 10, what is the z-score corresponding to X =…

Q: Birth weights are normally distributed with a mean of 7.5 pounds and a standard deviation of 1.5…

A: Solution-: Let, X-be the birth weights of baby's Given: \mu=7.5 pounds,\sigma=1.5pounds We find the…

Q: The contents of 40 cans of Coke have a mean of 12.15 fl oz and a standard deviation of 0.09 fl oz.…

A: Given, mean, x= 12.15 fl oz standard deviation, σ = 0.09 fl oz population mean, μ = 12 fl oz X ~…

Q: The combined math and verbal scores for students taking a national standardized examination for…

A: Given mean of 670 and a standard deviation of 220.

Q: State the null and alternative hypotheses. Using α = 0.01 level of significance, what is your…

A: 1. Let μ denotes the mean credit card balance for undergraduate students. The claim of the test is…

Q: The weight of oranges growing in an orchard is normally distributed with a mean weight of 8 oz. and…

A: From the given information Mean , μ=8 Standar deviation σ=1.5 We have to find how many orange…

Q: Assume that adults have IQ scores that are normally distributed with a mean of 100.5 and a standard…

A: Solution: Let X be the adults IQ score has normally distributed with mean μ=100.5 and standard…

Q: The distribution of average hours of sleep per weeknight among college students is found to be…

A: Given that. X~N( μ , ?^2 ) μ=6.5 , ?=1.0 Z-score =( x - μ )/?

Q: The distribution of average hours of sleep per weeknight among college students is found to be…

A: Consider that the mean and standard deviation of a random variable X are µ and σ, respectively.…

Q: Suppose that the antenna lengths of woodlice are approximately normally distributed with a mean of…

A: Given data: Mean = 0.22 inches Standard deviation = .05 inches To find: What proportion of woodlice…

Q: For a population with a standard deviation of 20, what is the zscore corresponding to a score that…

A: The population standard deviation is 20. The z-score corresponding to a score that is 5 points below…

Q: mean of $5.02 and a standard deviation of $0.09. Using the Empirical rule, find the range in which…

A: Given data: Mean and standard deviation of the hourly wages of employees is: μ=$5.02σ=$0.09 The…

Q: Suppose the scores of students on an exam are normally distributed with a mean of 454 and a standard…

Q: Consider a dataset with standard deviation 2, mean 6.2, and a total of 186 data points. What is the…

A: The given data is - Standard deviation (σ)=2 Mean(x)=6.2 Sample size(n)=186

Q: If a sample has a mean of 48 and a standard deviation of 3.2, what is the value in the set that…

Q: If you have a population standard deviation of 10 and a sample size of 4, what is your standard…

A: Given,population standard deviation(σ)=10sample size(n)=4

Q: The mean SAT verbal score is 473, with a standard deviation of 96. Use the Empirical Rule to…

Q: Suppose that another sample of resting heart rates for five Math students was obtained: 72, 68, 66,…

A: From the given data we want to know the data value .

Q: For a sample of raw scores, you calculate a mean of 15.25 and a standard deviation of 3.19. What is…

A: Introduction:Suppose a random variable, X has sample mean, x̅ and sample standard deviation, s.For a…

Q: fitness center is interested in finding a 95% CI for the mean number of days per week that Americans…

A: Given: Xˉ=3.2 s=2.6 n=248 Confidence level = 95% As the population standard deviation is not known,…

Q: Salaries of 32 college graduates who took a statistics course in college have a mean of $66,300.…

Q: The amount of time a certain brand of light bulb lasts is normally distributed with a mean of 1400…

A: The Normal distribution which is also known as the Gaussian distribution is a continuous probability…

Q: A process is in statistical control with a mean of 79.5 mm and a standard deviation of 1.85. The…

A: The mean of the data is 79.5 mm. The standard deviation of the data is 1.85 mm. The upper…

Q: The distribution of average hours of sleep per weeknight among college students is found to be…

A: Given Mean=6.5 Standard deviations=1.2

Q: What is the test statistic for this procedure?

A: Assume that all conditions are met. The mean of the differences was 1.33 and the standard deviation…

Q: the mean of a random sample of size n= 25 is used to estimate the mean of an entire population that…

Q: Suppose the scores of students on an exam are normally distributed with a mean of 558 and a standard…

Question

Salaries of

college graduates who took a statistics course in college have a mean,

$65,100.

Assuming a standard deviation,

σ,

$13,840,

construct a

90%

confidence interval for estimating the population mean

μ.

Definition Definition Method in statistics by which an observation’s uncertainty can be quantified. The main use of interval estimating is for describing a range that is made by transforming a point estimate by determining the range of values, or interval within which the population parameter is likely to fall. This range helps in measuring its precision.

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

VIEW

Step 2

VIEW

Step by step

Solved in 2 steps with 2 images

SEE SOLUTION Check out a sample Q&A here

Similar questions

Scores on the American College Testing (ACT) college entrance exam follow the normal distribution with mean 18 and standard deviation 6. Wayne's standard score on the ACT was –1.1.
Use statistical analysis, i.e., the standard error of the mean, to determine the uncertainty of the mean of a sample of size 10 with mean = 631 and standard deviation = 51.0.
Suppose the scores of students on an exam are normally distributed with a mean of 253 and a standard deviation of 80. According to the empirical rule, what percentage of students scored between 13 and 493 on the exam?
Suppose that the antenna lengths of woodlice are approximately normally distributed with a mean of 0.25 inches and a standard deviation of 0.05 inches. What proportion of woodlice have antenna lengths that are at least 0.18 inches? Round your answer to at least four decimal places.
The time taken for a computer to boot up, X, follows a mound-shaped (i.e. bell-shaped) distribution with a mean of 30 seconds and a standard deviation of 5 seconds. What is the standardized score for a boot up time of... a. x = 30 seconds? b. x = 20 seconds? c. x = 35 seconds? 1 Z-Score = Z-Score = Z-Score = h
Suppose that water usages in American showers are normally distributed, with an average shower using 16.4 gallons, and a standard deviation of 3.7 gallons. Estimate the percentage of showers that used between 9 and 23.8 gallons more than 27.5 gallons less than 12.7 gallons between 9 and 20.1 gallons
Nabisco claims that Chip Ahoy Cookies have an x ̅=28.67 per cookie with a SD=2.67. Assuming this information is true, what is the population parameter for the standard deviation?
A test was administered for a group of 400 students and scores were obtained. The scores are approximately normally distributed with a mean of 65 and standard deviation of 4.5. What are the scores within which approximately 95% of the total test scores fall?
The shelf life of a battery produced by one major company is known to be Normally distributed, with a mean life of 3.5 years and a standard deviation of 0.75 years. What is the upper quartile of battery shelf life? Use the fact that the middle 50% of the data falls within 0.67 standard deviations from the mean.
According to the World Health Organization, the average height of a one-year-old child is 29". You believe children with a particular disease are smaller than average, so you draw a sample of 20 children with this disease and find a mean height of 27.5" and a sample standard deviation of 1.5". The test statistic is -4.4721 and the p-value is 0.00013 using the calculator function TTEST. If a=0.05, what conclusions can be made? Provide a detailed conclusion including contextualization to the given scenario.
in a test of a lifelong brand of tires , a survey revealed that the mean life was 35,000 mikes and the standard deviation was 7083 mikes. if the shape of the population distribution is known to be normal, approximately what percentage of the tires lasts less than 20834 miles ?
The combined math and verbal scores for students taking a national standardized examination for college admission, is normally distributed with a mean of 800 and a standard deviation of 140. If a college requires a minimum score of 900 for admission, what percentage of student do not satisfy that requirement?