Big houses: The U.S. Census Bureau reported that the mean area of U.S. homes built in 2018 was 2559 square feet. Assume that asimple random sample of 17 homes built in 2020 had a mean area of 2592 square feet, with a standard deviation of 179 square feet.Assume the population of areas is normally distributed. Can you conclude that the mean area of homes built in 2020 is not equal to thatof homes built in 2018 ? Use the a=0.01 level of significance.H: µ=2559H: u#2559Part 1 of 3(a) Find the P-value. Use the TI-84 calculator and round your answer to at least four decimal places.The P-value is (b) What is the decision?O Reject HoDo not reject H,Part: 2/ 3Part 3 of 3(c) Interpret the result.We (Choose one) ▼ enough evidence at the 0.01 level of significance to conclude that the mean area of homes built in 2020(Choose one)▼ that of homes built in 2018.

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Answered: Big houses: The U.S. Census Bureau…

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...

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Similar questions

A population has a Mean of 100 and a standard deviation of 15. A sample of 20 college students is measured and the Sample mean is 125. What is the standard error? Show the math.
The Acme Company manufactures widgets. The distribution of widget weights is bell shaped. The widget have a mean of 40 ounces and a standard deviation of 10 ounces. What percentage of the widget weights lie between 20 and 70 ounces?
Most medical schools require applicants for admission to take the Medical College Admissions Test (MCAT) examination. Scores on the MCAT are roughly normally distributed with a mean of 500 and a standard deviation of 10.6. What percentage of students score above 518 points? ( write as a decimal and round to the nearest hundredth)
A nutritionist wants to determine how much time nationally people spend eating and drinking. Suppose for a random sample of 901 people age 15 or older, the mean amount of time spent eating or drinking per day is 1.85 hours with a standard deviation of 0.57 hour. Complete C and D.
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The life span of Duracell batteries is normally distributed. The mean life span is 10,502 hours an the standard deviation is 415 hours. If 66,500 duracell batteries are manufactured, approximately how many of those batteries last at least 9,850 hours? A 39,900 B. 46,600 C. 59,900 D. 62,600
The college board reports that in a recent year, the mean mathematics SAT score was 514, and the standard deviation was 118. A sample of 65 scores is chosen. Find the 98th percentile of the sample mean.
A successful basketball player has a height of 6 feet 11 inches, or 211 cm. Based on statistics from a data set, his height converts to the z score of 5.17. How many standard deviations is his height above the mean?
The average sale price (online) for 4-year-old Harley Davidson touring motorcycles is approximately normally distributed with a mean of $14,000 and a standard deviation of $4000. Find the 30th percentile for the prices of this type of motorcycle.
Suppose that the weight of male babies less than 2 months old is normally distributed with mean 11.5 pounds and standard deviation 2.7 pounds. What proportion of babies weigh less than 9.20 pounds?Write only a number as your answer. Round to 4 decimal places (for example 0.0048). Do not write as a percentage.
A successful basketball player has a height of 6 feet 3 inches, or 191 cm. Based on statistics from a data set, his height converts to the z score of 2.31. How many standard deviations is his height above the mean?
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