Question

The following data represent the pH of rain for a random sample of 12 rain dates A normal probability plot suggests the data could come from a population that is normally distributed A boxplot indicates there are no outliers Complete parts a) through d) below 558 502 5.34 5.72 4.59 4.76 4.38 4.74 4.80 5.19 5.68 456 Click the icon to view the table of critical t-values (a) Determine a point estimate for the population mean A point estimate for the population mean is (Round to two decimal places as needed.) (b) Construct and interpret a 95% confidence interval for the mean pH of rainwater. Select the correct choice below and fill in the answer boxes to complete your choice (Use ascending order. Round to two decimal places as needed O A. There is a 95% probability that the true mean pH of rain water is between and B. If repeated samples are taken 95% of them will have a sample pH of rain water between and O C. There is 95% confidence that the population mean pH of rain water is between and Click to select your answers

a through d please

Answer 1

12:16 Lou Ril 50%ů Book (10) a fx v A B с D F H 1 5.58 Data 5.03 Formula = average 2 5.72 4.38 a) Point estimate of population mean Std.dev 3 0.46 Formula = stdev.s 4 n 12.00 5 6 Lower Limit b) Construct a 95% confidence interval Upper Limit 5.32 7 4.74 8 4.8 5.02 4.59 4.74 5.19 5.34 4.76 4.56 5.68 9 t(11 , 0.05) 2.20 10 11 There is 95% confidence that the population mean pH of rain water is between 4.74 and 5.32 12 13 14 Lower Limit c) Construct a 99% confidence interval Upper Limit 5.45 15 4.61 16 17 t(11,0.01) 3.11 18 19 20 S X +t 21 22 ✓n 23 24 25 26 d) As the level of confidence increases, the width of the interval increases. The makes sense since the interval is significant 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 III O <