document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=314401>Question 314401</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Statistics-Hypotheses Testing<BR>\n" );
document.write( "Describe the type of test statistic you would use and state the Null and Alternate Hypotheses. \r<BR>\n" );
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document.write( "a.  Beef patties for McDonalds are prepared and packaged at a processing plant and shipped frozen to the individual outlets.  From past experience, it is known that the weight of individual patties is normally distributed with a mean (&#61549;) of 4 oz and a  standard deviation(  &#61555;&#61472;) of .5 oz..  If a random sample of 25 patties has an average weight of 4.235 oz., should management feel the patties are not meeting weight specifications? \r<BR>\n" );
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document.write( "Type of test statistic_______________ \r<BR>\n" );
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document.write( "Hypotheses: H0 _______________________ \r<BR>\n" );
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document.write( "H1 _______________________ \r<BR>\n" );
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document.write( "b. Suppose that an automobile manufacturer designed a radically new lightweight engine and wants to recommend the grade of gasoline to use.  The four grades are regular, regular leaded, premium and super premium.  The test car made 30 trial runs on the test track using each of the four grades.  What test would they use to base their recommendation? \r<BR>\n" );
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document.write( "Type of test statistic_________________ \r<BR>\n" );
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document.write( "Hypotheses: H0 _______________________ \r<BR>\n" );
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document.write( "H1 _______________________ \r<BR>\n" );
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document.write( "c.  A random sample of current students at United University yields the following data: <BR>\n" );
document.write( "Major Male Female <BR>\n" );
document.write( "Business 20 10 <BR>\n" );
document.write( "Engineering 15 5 <BR>\n" );
document.write( "Liberal Arts 30 20 <BR>\n" );
document.write( "Science 30                 20 \r<BR>\n" );
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document.write( "Use the data to determine if major is independent of sex. \r<BR>\n" );
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document.write( "Type of test statistic: _________________ \r<BR>\n" );
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document.write( "Hypotheses: H0 _______________________ \r<BR>\n" );
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document.write( "   H1 _______________________ <BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #224754 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=224754\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Describe the type of test statistic you would use and state the Null and Alternate Hypotheses. <BR>\n" );
document.write( "a. Beef patties for McDonalds are prepared and packaged at a processing plant and shipped frozen to the individual outlets. From past experience, it is known that the weight of individual patties is normally distributed with a mean (&#61549;) of 4 oz and a standard deviation( &#61555;&#61472;) of .5 oz.. If a random sample of 25 patties has an average weight of 4.235 oz., should management feel the patties are not meeting weight specifications? <BR>\n" );
document.write( "Type of test statistic: t_______________ <BR>\n" );
document.write( "Hypotheses: H0: u >= 5 oz _______________________ <BR>\n" );
document.write( "H1: u < 5 oz _______________________ <BR>\n" );
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document.write( "b. Suppose that an automobile manufacturer designed a radically new lightweight engine and wants to recommend the grade of gasoline to use. The four grades are regular, regular leaded, premium and super premium. The test car made 30 trial runs on the test track using each of the four grades. What test would they use to base their recommendation? <BR>\n" );
document.write( "Type of test statistic F-test _________________ <BR>\n" );
document.write( "Hypotheses: H0: The means are all equal _______________________ <BR>\n" );
document.write( "H1: At least one of the means is not equal  _______________________ <BR>\n" );
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document.write( "c. A random sample of current students at United University yields the following data: <BR>\n" );
document.write( "Major Male Female <BR>\n" );
document.write( "Business 20 10 <BR>\n" );
document.write( "Engineering 15 5 <BR>\n" );
document.write( "Liberal Arts 30 20 <BR>\n" );
document.write( "Science 30 20 <BR>\n" );
document.write( "Use the data to determine if major is independent of sex. <BR>\n" );
document.write( "Type of test statistic: Chi-Sq _________________ <BR>\n" );
document.write( "Hypotheses: H0: Row and Column factors are independent _______________________ <BR>\n" );
document.write( "H1: Row and Column factos are dependent _______________________ \r<BR>\n" );
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document.write( "==================================================<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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