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Discussion Board 9 Confidence Intervals Means (sigma known and unknown) & Proportions 14 You would like to estimate the average time an adult walk during the day. You randomly select 83 adults and get a sample mean of 26.1 minutes; the population standard deviation is known to be 5.3 minutes. A. Construct an 80% confidence interval for the average time an adult walk during the day (round final answer to 3 decimal places ex. 14.173 to 18.295). B. If you would like to have a margin of error of to be within 0.5 minutes (% minute) (using the same confidence from above), how many adults should be sampled? 2 You would like to estimate how much a single taxpayer that itemizes on their individual tax return Schedule A. You randomly select 65 single taxpayer that itemizes on their individual tax return Schedule A and get a sample mean of $17,641 with a standard deviation of $3,190. Construct a 95% confidence interval for the amount a single taxpayer that itemizes on their individual tax return Schedule A. A. Confidence value used for this problem (from table or chart ex. 80% Z-Value: 1.282 or 80% t-Value: 1.305) B. Construct a 95% confidence interval for the amount a single taxpayer that itemizes on their individual tax return Schedule A (round final answer to 2 decimal places (nearest penny)ex. $14.17 to $18.29). 3 You would like to estimate the proportion of taxpayers who apply for a 6 month extension to file taxes. You randomly select 280 taxpayers, and find that 48 apply for a 6 month extension to file taxes. A. Construct a 90% confidence interval to estimate the proportion of taxpayers who apply for a 6 month extension to file taxes. (Round your sample proportion to 4 decimal points as well as round your margin of error to 4 decimal points. For example: .14916 would be .1492 and this represents 14.92%. State the answer as an interval for example 27.36% to 31.43%). B. Using the same confidence level, you would like the margin of error to be 3%, how many customers should you sample? = ***Ng probabilities generated from a calculator will be permitted/accepted (will not receiv credit), only probabilities and values from your Z-tables MX IR N L EENAIEA AW OREaE