hi i don\'t quite understand a question that came up in classand i was wondering

Question

hi i don't quite understand a question that came up in classand i was wondering if anyone would help/ x or anual salary in thousands of dollars was recrded for fiverandom college students: 11,14,18,8,10. would the hypothesized mean of 16.56 be outside the 90% or 95%cofindence interval? hi i don't quite understand a question that came up in classand i was wondering if anyone would help/ x or anual salary in thousands of dollars was recrded for fiverandom college students: 11,14,18,8,10. would the hypothesized mean of 16.56 be outside the 90% or 95%cofindence interval?

Explanation / Answer

   X(anual salary in 000's of dollars) :11,14,18,8,10.    null hypothesis H0 : =16.56    alternative hypothesis H1 : != 16.56    var(x) = 12.16    90% confidence intervals are ±Z/2 * se(x)                                 16.56 ± Z /2 *12.16                                  16.56± ( 1.66*12.16)                                 (-3.6256 , 36.7456) 99% confidence intervals are ±Z/2 * se(x)                                 16.56 ± Z/2 * 12.16                                  16.56± (1.96 * 12.16)                                  (-7.2736 , 40.3936)

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