**Sample Comparison Exercise** In this exercise, two samples are taken with the following characteristics: - Sample 1: - Mean (\( \bar{x}_1 \)): 37 - Size (\( n_1 \)): 50 - Standard Deviation (\( s_1 \)): 5 - Sample 2: - Mean (\( \bar{x}_2 \)): 40 - Size (\( n_2 \)): 73 - Standard Deviation (\( s_2 \)): 4 **Task:** Estimate the difference in population means using a 91% confidence level. Use a calculator for the calculations, and do **not** pool the sample variances. Round your answers to the nearest hundredth. **Confidence Interval:** \[ < \mu_1 - \mu_2 < \] Fill in the values for the difference in population means.

The director of research and development is testing a new medicine. She wants to know if there is evidence at the 0.02 level that the medicine relieves pain in more than 346 seconds. For a sample of 58 patients, the mean time in which the medicine relieved pain was 352 seconds. Assume the population standard deviation is 23. Find the P-value of the test statistic. 囲 Tables E Keypad Keyboard Shortcuts 0.0582 %3D IX

form a confidence interval for mean, proportion, and standard deviation.

Calculate the sample size for a 95% confidence level, Margin of error of 500 and population standard deviation of 4500. Show the formula and calculation. Round up to a whole number.

joans finishing time for the bolder boulder 10k race was 1.77 standard deviations faster than the womens average for her age group. there were 415 women in her group. assuming a normal distribution, how many women ran faster than joan? rounded down to the nearest whole number