# STATS_FINAL_Answers - 2(TCO 11 A restaurant claims that its...

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2. (TCO 11) - A restaurant claims that its speed of service time is less than 18 minutes. A random selection of 36 service times was collected, and their mean was calculated to be 17.1 minutes. Their standard deviation is 3.1 minutes. Is there enough evidence to support the claim at alpha = .08. Perform an appropriate hypothesis test, showing each important step. (Note: 1st Step: Write Ho and Ha; 2nd Step: Determine Rejection Region; etc.) ( 29 ) , 18 : 18 ) , 0.08 ) 1.751 1.751 17.1 18 ) 1.5 3.1/ 6 ) 1.5 1.751,1.751 , i Null hypothesis Alternative hypothesis ii significance level iii reject the null hypothesis if z or greater than z iv z v As z is lies in so we cannot reject μ α = < = < - - = = - = - - A restaurant claims that its speed of service time is less than 18 minutes is Wrong the null hypothesis Inotherword 4. (TCO 1,7) A social service worker wants to estimate the true proportion of pregnant teenagers who miss at least one day of school per week on average. The social worker wants to be within 3% of the true proportion when using a 95% confidence interval. A previous study estimated the population proportion at 0.28. (a). Using this previoius study as an estimate for p, what sample size should be used? (b). If the previous study was not available, what estimate for p should be used? ( 29 ( 29 ( 29 ( 29 / 2 2 2 / 2 1 ) 1.96 1 0.28 1 0.28 860.51 861 0.03 ) 0.5 p p a E Z n Z n p p E b estimate for p should be - = = - = - = 5.

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## This note was uploaded on 12/08/2009 for the course STATS STATS430 taught by Professor Forgot during the Spring '08 term at DeVry Chicago.

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STATS_FINAL_Answers - 2(TCO 11 A restaurant claims that its...

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