MATH 534 Week 4 Addendum Homework-Quiz Review Problems and Notes

1. Aconsumerprotectionagencywantstostudygaspricesatgasstationsinthestate.Ittakesasample of 50 gas stations.The sample mean is $2.35 with a standard deviation of $0.12.Constructa99%confidenceintervaltoestimatethepopulationmean.(2.30,2.40) 2. Aconsumerprotectionagencywantstostudygaspricesatgasstationsinthestate.Ittakesasample of 50 gas stations.The sample mean is $2.35. The population standard deviaiton isknown to be $0.10. Construct a 99% confidence interval to estimate the population mean.(2.31,2.39) 3. A consumer protection agency wants to study gas prices at gas stations in the state. It takes asample of 50 gas stations.The sample mean is $2.35 with a standard deviation of $0.12. Whatisthepoint estimateofthe populationmeanof thegasprices? 4. Wetakeasampleof36studentsandfindthat12ofthemarefromNewJersey.ThepointestimateofthepopulationproportionofthestudensthatarefromNewJerseyis . 5. Wetakeasampleof200cars.35%ofthemarewhite.The90%confidenceintervaltoestimatethepopulationproportionis .(0.29,0.41) 6. We want create a 99% confidence interval to estimate the population mean of the number ofheartbeats per minute for adults.We want the estimate to be within 3 beats of the actualpopulation mean. The population variance is estimated to be around 24. The necessary samplesizeshouldbeatleast .18