Discuss the below:
1. The local Tupperware dealers earned these commissions last month:
$4377.47 $3183.76 $1970.16 $2270.88 $3860.06
$2508.55 $1569.64 $4205.30 $1663.68 $3960.71
Assuming the population for the amount of commissions earned by Tupperware dealers last month is known to be normally distributed, create a 95% confidence interval estimate for μ, the mean amount of commission earned.
You will be asked to identify x-bar, s,α, df, t, E and the confidence interval.
2. Assuming the standard deviation for the cost of a bathroom remodel is known to be $545. How large a sample would need to be taken to estimate the mean cost of a bathroom remodel to within $136 with 99% confidence?
3. A researcher is interested in estimating the proportion of employees who are unhappy in their current job. A prior study estimates this proportion at 0.13. How large a sample would need to be taken to estimate this proportion to within 4% with 95% accuracy?