document.write( "Question 482293: If anyone can help me with these questions I would greatly appreciate it as I am having problems with them &showing my work for them. Thank you.\r
\n" ); document.write( "\n" ); document.write( "1. Find the critical value zc necessary to form a confidence interval at the given level of confidence. (References: definition for level of confidence page 311, end of section exercises 5 – 8 page 317) (2.5 points each)\r
\n" ); document.write( "\n" ); document.write( "a. 90% \r
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\n" ); document.write( "\n" ); document.write( "b. 80%\r
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\n" ); document.write( "\n" ); document.write( "2. The new Twinkle bulb has a standard deviation of 35 hours. A random sample of 50 light bulbs is selected from inventory. The sample mean was found to be 550 hours. \r
\n" ); document.write( "\n" ); document.write( "a. What is the margin of error [E] for a 90% confidence interval? Round your answer to the nearest hundredths (5 points)
\n" ); document.write( "(References: definition of margin of error on page 312 and example 2 on page 312).\r
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\n" ); document.write( "\n" ); document.write( "b. Construct a 90% confidence interval for the mean life of all Twinkle bulbs.
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Algebra.Com's Answer #330201 by stanbon(75887)\"\" \"About 
You can put this solution on YOUR website!
1. Find the critical value zc necessary to form a confidence interval at the given level of confidence. (References: definition for level of confidence page 311, end of section exercises 5 – 8 page 317) (2.5 points each)
\n" ); document.write( "a. 90%
\n" ); document.write( "Find the z-value with a right tail of 5%:
\n" ); document.write( "Ans: z = 1.645
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\n" ); document.write( "\n" ); document.write( "b. 80%
\n" ); document.write( "Find the z-value with a right tail of 10%:
\n" ); document.write( "Ans: 1.2816
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\n" ); document.write( "\n" ); document.write( "2. The new Twinkle bulb has a standard deviation of 35 hours. A random sample of 50 light bulbs is selected from inventory. The sample mean was found to be
\n" ); document.write( "550 hours.
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\n" ); document.write( "a. What is the margin of error [E] for a 90% confidence interval? Round your answer to the nearest hundredths (5 points)
\n" ); document.write( "ME = 1.645 = 8.14\r
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\n" ); document.write( "(References: definition of margin of error on page 312 and example 2 on page 312). \r
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\n" ); document.write( "\n" ); document.write( "b. Construct a 90% confidence interval for the mean life of all Twinkle bulbs.
\n" ); document.write( "x-bar = 550
\n" ); document.write( "ME = 1.9126
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\n" ); document.write( "90% CI: 550-8.14 < u < 550+8.14
\n" ); document.write( "541.86 < u < 558.14
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\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
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