According to the historical data, the life expectancy in Belgium is less than the life expectancy in the United States. A newstudy has been made to see whether this has changed. Records of 260 individuals from Belgium who died recently areselected at random. The 260 individuals lived a mean of 78.4 years with a standard deviation of 8.8 years. Records of 285individuals from the United States who died recently are selected at random and independently. The 285 Individuals lived amean of 76.5 years with a standard deviation of 7.4 years. Assume that the population standard deviations of lifetimes inthese two countries can be estimated by the sample standard deviations, as the samples used were quite large. Construct a95% confidence interval for ₁-₂, the difference between the life expectancy μ₁ in Belgium and the life expectancy μ₂ in theUnited States. Then find the lower limit and upper limit of the 95% confidence interval.Carry your intermediate computations to at least three decimal places. Round your answers to at least two decimal places.(If necessary, consult a list of formulas.)Lower limit:Upper limit:X

Confidence interval is an interval such that the probability of the unknown parameter to be included…

Answered: According to the historical data, the…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Similar questions

Suppose 36% of movie goers say comedy is their favorite genre. If a random sample of 120 movie goers is taken, what are the mean and standard deviation of the number of movie goers that prefer comedy?
According to the records of an electric company serving the Boston area, the mean electricity consumption during winter for all households is 1650 kilowatt-hours per month. Assume that the monthly electricity consumption during winter by all households in this area have a normal distribution with a mean of 1650 kilowatt-hours and a standard deviation of 320 kilowatt-hours. The company sent a notice to Bill Johnson informing him that about 80% of the households use less electricity per month than he does. What is Bill Johnson's monthly electricity consumption? Round your answer to the nearest integer. Bill Johnson's monthly electricity consumption is approximately kWh.
The tallest living man at one time had a height of 220 cm. The shortest living man at that time had a height of 136.8 cm. Heights of men at that time had a mean of 173.88 cm and a standard deviation of 5.13 cm. Which of these men had the height that was more extreme?
A student takes a test in his math course and scores 45 points and a test in his psychology courseand scores 71 points. Scores on each test were normally distributed. On the math test the classhas a mean of 40 and a standard deviation of 15. On the psychology test the class has a mean of 75and a standard deviation of 10. On which test did the student do better?
The U.S. Department of Agriculture claims that the mean consumption of bottled water by a person in the United States is 28.5 gallons per year. A random sample of 100 people in the United States had a mean bottled water consumption of 27.8 gallons per year with a standard deviation of 4.1 gallons. Does this sample indicate that the mean annual consumption of bottled water for people in the United States is not 28.5 gallons per year? (Reference: U.S. Department of Agriculture) At a 5% level of significance, what is the power of this test against the alternative μ= 27.4? (For this problem only, assume that the standard deviation of the population (i.e. sigma) is 4.1) O 77% 5% 85% 0.90%
It has been found that with the standard dosage of a drug, the change in people’s uric acid levelis normally distributed with a mean of 240 and a standard deviation of 60. What proportionof people receiving the standard dosage of this drug experience changes in uric acid levelbetween 210 and 270?
The average McDonald's restaurant generates $3.1 million in sales each year with a standard deviation of 0.4. Micah wants to know if the average sales generated by McDonald's restaurants in Maryland is different than the worldwide average. He surveys 19 restaurants in Maryland and finds the following data (in millions of dollars):2.8, 3.2, 3.8, 4.2, 3.5, 3.2, 3.6, 3.2, 2.7, 3.1, 2.5, 3.2, 3.7, 3.5, 3.9, 3.9, 2.5, 2.9, 2.8Perform a hypothesis test using a 9% level of significance.Step 1: State the null and alternative hypotheses.H0:H0: Ha:Ha: (So we will be performing a test.)Step 2: Assuming the null hypothesis is true, determine the features of the distribution of point estimates using the Central Limit Theorem.By the Central Limit Theorem, we know that the point estimates are with distribution mean and distribution standard deviation .Step 3: Find the pp-value of the point estimate.P(P( )=P()=P( )=)=pp-value==Step 4: Make a Conclusion…
The mean weight of an adult Golden Retriever is 67 pounds with a standard deviation of 2.5 pounds. The mean weight of an adult St Bernard is 192 pounts with a standard deviation of 16 pounds. Rachel has a Golden Retriever that weighs 70.2 pounds and JD has a St Bernard that weighs 215 pounds. Who has the larger dog relative to their breed?
The tallest living man at one time had a height of 244 cm. The shortest living man at that time had a height of 92.3 cm. Heights of men at that time had a mean of 174.73 cm and a standard deviation of 6.23 cm. Which of these two men had the height that was more extreme?
If this 3-year-old boy grows up to be a man with a height at the same percentile, what will his height be? Use a population mean of 70 inches and a population standard deviation of 3 inches
A study by the National Center for Health Statistics suggested that women between the ages 20 and 29 in the US have a mean BMI of 26.8 with a standard deviation of 7.4. A BMI of 30 or greater is considered as being obese. What proportion of women in this age range are obese?
A community college Math instructor feels that the average age of community college students decreased since they started teaching 25 years ago. Looking up data from the year the instructor started teaching, the mean age of community college students was 24.3 years old, with a population standard deviation of 2.2 years. The Math instructor took a sample of 40 of their current community college students and found that the sample had a mean age of 23.7 years old. Assume the population of ages of community college students is normally distributed and that the population standard deviation has remained the same. Test at the 5% significance level if the mean age of community college students is now less than 24.3 years old. Choose the correct answer from the parenthesis. (i) Hypotheses ?0: ? = ( 0, 2.2, 22.7, 24.3, 25, 40) ______________ . ?1: ? = ( < , > ) ______________ ( 0, 2.2, 22.7, 24.3, 25, 40) ________________ . (ii) Test Statistic ( z/ t )…

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