document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1182257>Question 1182257</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A standardized​ exam's scores are normally distributed. In a recent​ year, the mean test score was 1462 and the standard deviation was 319. The test scores of four students selected at random are 1890​,1180 ​,2210,and 1350. Find the​ z-scores that correspond to each value and determine whether any of the values are unusual.\r<BR>\n" );
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document.write( "The​ z-score for 1890 is____? \r<BR>\n" );
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document.write( "Round to two decimal places as​ needed.) </SPAN>\n" );
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document.write( "mu = population mean = 1462<BR>\n" );
document.write( "sigma = population standard deviation = 319\r<BR>\n" );
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document.write( "z = (x - mu)/sigma<BR>\n" );
document.write( "z = (1890-1462)/319<BR>\n" );
document.write( "z = <font color=red>1.34 approximately</font>\r<BR>\n" );
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document.write( "I would consider this to be <u>not</u> unusual. In other words, it seems fairly likely. Any z score such that <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-2+%3C=+z+%3C=+2 ALIGN=MIDDLE  ALT=\"-2+%3C=+z+%3C=+2\"   DISABLED_style= \"max-width:90%; height:auto;\" > would be considered usual; anything outside this interval is considered unusual. Keep in mind that your teacher may use another interval, so I would check with them about that. Though usually, if a z score is further than 2 standard deviations from the mean, then it's considered unusual.<BR>\n" );
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