Randomly selected students participated in an experiment to test their ability to determine when one minute (or sixty seconds) has passed. Forty students yielded a sample mean of62.5seconds. Assuming thatσ=9.2seconds, construct and interpret a95%confidence interval estimate of the population mean of all students. Randomly selected students participated in an experiment to test their ability to determine when one minute (or sixty seconds) has passed. Forty students yielded a sample mean of 62.5 seconds. Assuming that o = 9.2 seconds, construct and interpret a 95% confidence interval estimate of the population mean of all students.Click here to view a t distribution table.Click here to view page 1 of the standard normal distribution table.Click here to view page 2 of the standard normal distribution table.What is the 95% confidence interval for the population mean u?(Type integers or decimals rounded to one decimal place as needed.)Based on the result, is it likely that the students' estimates have a mean that is reasonably close to sixty seconds?O A. No, because the confidence interval includes sixty seconds.O B. Yes, because the confidence interval does not include sixty seconds.O C. No, because the confidence interval does not include sixty seconds.O D. Yes, because the confidence interval includes sixty seconds.

Given Sample mean (Xbar)=62.5 Standard Deviation=9.2 Sample size (N) =40

Answered: Randomly selected students participated…

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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Randomly selected students participated in an experiment to test their ability to determine when one minute (or sixty seconds) has passed. Forty students yielded a sample mean of

62.5

seconds. Assuming that

σ=9.2

seconds, construct and interpret a

95%

confidence interval estimate of the population mean of all students.

Randomly selected students participated in an experiment to test their ability to determine when one minute (or sixty seconds) has passed. Forty students yielded a sample mean of 62.5 seconds. Assuming that o = 9.2 seconds, construct and interpret a 95% confidence interval estimate of the population mean of all students.
Click here to view a t distribution table.
Click here to view page 1 of the standard normal distribution table.
Click here to view page 2 of the standard normal distribution table.
What is the 95% confidence interval for the population mean u?
(Type integers or decimals rounded to one decimal place as needed.)
Based on the result, is it likely that the students' estimates have a mean that is reasonably close to sixty seconds?
O A. No, because the confidence interval includes sixty seconds.
O B. Yes, because the confidence interval does not include sixty seconds.
O C. No, because the confidence interval does not include sixty seconds.
O D. Yes, because the confidence interval includes sixty seconds.

Definition Definition Measure of central tendency that is the average of a given data set. The mean value is evaluated as the quotient of the sum of all observations by the sample size. The mean, in contrast to a median, is affected by extreme values. Very large or very small values can distract the mean from the center of the data. Arithmetic mean: The most common type of mean is the arithmetic mean. It is evaluated using the formula: μ = 1 N ∑ i = 1 N x i Other types of means are the geometric mean, logarithmic mean, and harmonic mean. Geometric mean: The nth root of the product of n observations from a data set is defined as the geometric mean of the set: G = x 1 x 2 ... x n n Logarithmic mean: The difference of the natural logarithms of the two numbers, divided by the difference between the numbers is the logarithmic mean of the two numbers. The logarithmic mean is used particularly in heat transfer and mass transfer. ln x 2 − ln x 1 x 2 − x 1 Harmonic mean: The inverse of the arithmetic mean of the inverses of all the numbers in a data set is the harmonic mean of the data. 1 1 x 1 + 1 x 2 + ...

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