A production manager at a wall clock company wants to test their new wall clocks. The designer claims they have a mean life of 14 years with a variance of 25. If the claim is true, in a sample of 50 wall clocks, what is the probability that the mean clock life would differ from the population mean by less than 1.5 years? Round your answer to

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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1.  A production manager at a wall clock company wants to test their new wall clocks. The designer claims they have a mean life of 14 years with a variance of 25. If the claim is true, in a sample of 50 wall clocks, what is the probability that the mean clock life would differ from the population mean by less than 1.5 years? Round your answer to four decimal places.

2.The weights of newborn baby boys born at a local hospital are believed to have a normal distribution with a mean weight of 3937 grams and a standard deviation of 336 grams. If a newborn baby boy born at the local hospital is randomly selected, find the probability that the weight will be between 4135 and 4273grams. Round your answer to four decimal places.

 

3. Calculate the standard score of the given X value, X=88.3, where μ=87.8 and σ=87.4 and indicate on the curve where z will be located. Round the standard score to two decimal places.

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