Question on STATS:?

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Suppose that we have collected information on how much a sample of households spend on clothing per year. If we are 90% confident that the true population mean will lie  between $1,500 and $ 2,100, the chance that the population mean will either be less than $1,500 or above $2,100 is _______ %.

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  • Alan
    Lv 7
    3 weeks ago

    90 % confidence interval goes from 

    5% to 95%  leaving 90% in the middle 

    so the probability it is less than 1500 is 5 % 

    and the probability it is greater than 2100 is 5% 

    p =0.05  as a decimal 

    or p = 5% as a percentage 

    If you want the combined percentage of either x<1500 or x> 2100 

    that is 5+ 5 = 10 % 

  • 3 weeks ago

    I mean, if "we" are 90% confident that Martians like techno music, that doesn't mean there's a 10% chance they don't

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