Calculate the values of (i) median, (ii) the two quartiles for the data given below: Income in ('000 3) Number of persons Under 1 15 1-2 90 2-3 81 3-5 115 5-10 64 10-25 25 25-50 6 50-100 100-1000

Compute the Median and seventh Decile of the following distribution of height: Heights (inches) 57.5 -, 60.0 -, 62.5 -, 65.0 -, 67.5 -, 70.0 -, 72.5 -, Number 6 26 190 281 412 127 38

a. Use a = 0.10 to test for a statistically significantly difference between the population means for first- and fourth-round scores. What is the p-value? t-value (to 3 decimals) Degrees of freedom p-value is greater than 0.20 What is your conclusion? There is no significant difference between the mean scores for the first and final rounds. b. What is the point estimate of the difference between the two population means? (to 2 decimals) For which round is the population mean score lower? First round c. What is the margin of error for a 90% confidence interval estimate for the difference between the population means? (to 3 decimals) Could this confidence interval have been used to test the hypothesis in part (a)? Yes Explain. Use the point of the difference between the two population means and add and subtract this MOE. If zero is in the interval the difference is not statistically significant. If zero is not in the interval the difference is statistically significant.

The following are distances (in miles) traveled to the workplace by 18 employees of a certain hospital. 22 ,  14 ,  6 ,  9 ,  32 ,  11 ,  1 ,  15 ,  13 ,  28 ,  37 ,  18 ,  18 ,  14 ,  10 ,  24 ,  36 ,  2 Send data to calculator   Find 25th and 60th percentiles for these distances.(If necessary, consult a list of formulas.) (a) The 25th percentile: miles (b) The 60th percentile: miles

Suppose the following data show the prices of 4 cars with similar characteristics that sold at a recent auction (in thousands of dollars): 5.7, 11.3, 10.4, 12.9. Calculate the mean selling price of the sample. (please express your answer using 2 decimal places)