Answered: Ashik is planning to propose to a girl…

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

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.6: Summarizing Categorical Data

Problem 26PPS

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Ashik is planning to propose to a girl he has a crush on in a grand way. He has decided to create an animation movie, conveying his love to his crush and he needs to estimate the total production time (labor-hours necessary) to produce the movie. Since he is so rich, he wants to use multiple big screens to project the movie and the mean production time for a random sample of 14 big-screen animated movie is found to be 53,500 labor-hours. Suppose that Ashik has managed to find out that the population standard deviation is 7462 labor-hours and the distribution of the production time is normal. 10

Construct a 98% confidence interval for the mean production time to produce a big-screen animated movie

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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