Majesty Video Production Inc. wants the mean length of its advertisements to be 26 seconds. Assume the distribution of ad length follows the normal distribution with a population standard deviation of 2 seconds. Suppose we select a sample of 14 ads produced by Majesty.   What can we say about the shape of the distribution of the sample mean What is the standard error of the mean time? What percent of the sample means will be greater than 27.25 seconds? What percent of the sample means will be greater than 24.50 seconds? What percent of the sample means will be greater than 24.50 but less than 27.25 seconds?

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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Majesty Video Production Inc. wants the mean length of its advertisements to be 26 seconds. Assume the distribution of ad length follows the normal distribution with a population standard deviation of 2 seconds. Suppose we select a sample of 14 ads produced by Majesty.

 

  1. What can we say about the shape of the distribution of the sample mean

  2. What is the standard error of the mean time?

  3. What percent of the sample means will be greater than 27.25 seconds?

  4. What percent of the sample means will be greater than 24.50 seconds?

  5. What percent of the sample means will be greater than 24.50 but less than 27.25 seconds? 

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