Question 1069138
Thirty-five items are randomly selected from a population of 370 items. The sample mean is 34, and the sample standard deviation 8. Develop a 90% confidence interval for the population mean.

It tells me to round every answer to 3 decimals, and to round the final answer to 2 decimals. I keep getting 33.31 to 34.96, and it tells me its wrong. Help please
<pre><b><font face = “Century Gothic” size = 4 color = "indigo">Confidence interval:   <span style="text-decoration: overline">x</span> -  E   <   µ   <     <span style="text-decoration: overline">x</span>  +   E, where:

<span style="text-decoration: overline">x</span> = sample mean (34, in this case)
E (Margin of Error) = Z<sub>&#945/2</sub>   *   {{{s[x]/sqrt(n)}}}
Z<sub>&#945/2</sub> = &#437;-critical score, based on 90% confidence level (1.645, in this case)
{{{S[x]}}} = Sample standard deviation (8, in this case)
n = sample amount (35, in this case) 

                   <span style="text-decoration: overline">x</span> -  E   <   µ   <  <span style="text-decoration: overline">x</span>  +   E   then becomes: 
{{{34 - 1.645 * (8/sqrt(35))}}}   <   µ   <   {{{34 + 1.645 * (8/sqrt(35))}}}
           34 – 2.224  <   µ   <  34  +  2.224 
                 31.776  <   µ   <  36.224 
                  {{{highlight(highlight_green(highlight(matrix(1,5, 31.78,    "<",   mu,   "<",  36.22))))}}}</font> </b></pre>