document.write( "Question 1112696: Hello , Cant Solve This , Someone help me ?\r
\n" ); document.write( "\n" ); document.write( "The mean amount purchased by a typical customer at Churchill's Grocery Store is $23.50 with a standard deviation of $6.00. Assume the distribution of amounts purchased follows the normal distribution. For a sample of 52 customers, answer the following questions.\r
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\n" ); document.write( "\n" ); document.write( "Q1)What is the likelihood the sample mean is at least $25.50? (Round your z value to 2 decimal places and final answer to 4 decimal places.)
\n" ); document.write( "Probability ?\r
\n" ); document.write( "\n" ); document.write( "Q2)What is the likelihood the sample mean is greater than $22.50 but less than $25.50? (Round your z value to 2 decimal places and final answer to 4 decimal places.)
\n" ); document.write( "Probability ?\r
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\n" ); document.write( "\n" ); document.write( "Q3) Within what limits will 95 percent of the sample means occur? (Round your answers to 2 decimal places.)
\n" ); document.write( "Sample mean ....... and ......
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Algebra.Com's Answer #727729 by Boreal(15235)\"\" \"About 
You can put this solution on YOUR website!
z=(x bar-mean)/sigma/sqrt(n)
\n" ); document.write( "=(25.50-23.50)/6/sqrt(52)
\n" ); document.write( "=2*sqrt(52)/6
\n" ); document.write( "=2.40
\n" ); document.write( "probability z is greater than that is 0.0082
\n" ); document.write( "---------for 22.50
\n" ); document.write( "z=-1*sqrt(52)/6
\n" ); document.write( "= -1.20
\n" ); document.write( "probability z is between these two values, -1.20 and 2.40, is 0.8767
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\n" ); document.write( "95% will occur between +/- 1.96*6/sqrt(52)
\n" ); document.write( "This is 1.63 on each side of the given mean of 23.50
\n" ); document.write( "(21.87, 25.13)\r
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