Answered: construct a 99% confidence interval for…

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.4: Distributions Of Data

Problem 19PFA

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Find a confidence interval for

a. A random sample of 18 adults participated in a four-month weight loss program. Their mean weight loss was 13.4 lbs, with a standard deviation of 2.8 lbs. Use this sample data to construct a 99% confidence interval for the population mean weight loss for all adults using this four-month program. You may assume the parent population is normally distributed. Round to one decimal place.

b. In the year 2000, a survey of 1158 U.S. adults were asked who they felt was the greatest President. Of those surveyed, 249 reported that Abraham Lincoln was the greatest President. Use this data to construct a 98% confidence interval for the population proportion of all U.S. adults who would say that Abraham Lincoln was the greatest president before the year 2000. Answer using decimals and round to four decimal places

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

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