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21 June, 06:47

An assembly line is operating satisfactorily if fewer than 5% of the phones produced per day are defective. To check the quality of a day's production, the company randomly samples 50 phones from a day's production to test for defects. Define the population of interest to the manufacturer.

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  1. 21 June, 09:21
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    Explanation: Population is simply the total number of observations in a given data size.

    Random Sampling is the case whereby an item is chosen at random or by chance out of a population of items.

    In the scenario above, population is simply the total number of phones manufactured.

    Therefore, in randomly sampling a number of 50 phones out of the day's total production, the population of interest is all the phones produced during the day in which the random sampling took place.
  2. 21 June, 10:32
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    the total number of phones produced during that day

    Explanation:

    In statistics, the population of interest of a survey or study refers to the total amount of subjects that can be surveyed, e. g. the population of a poll about the presidential race must include all the adults that are registered to vote.

    In this case, the manager wants to determine how many defective phones are made per day and will randomly choose 50 phones. The population in this case is the total number of phones produced during that day.
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