Let X and Y equal the hardness of the hot and cold water, respectively, in a campus building. Hardness is measured in terms of the calcium ion concentration (in ppm). The following data were collected (n = 12 observations of X and m = 10 observations of Y): %3D X: 133.5 137.2 136.3 133.3 137.5 135.4 138.4 137.1 136.5 139.4 137.9 136.8 y: 134.0 134.7 136.0 132.7 134.6 135.2 135.9 135.6 135.8 134.2 (a) Calculate the sample means and the sample variances of these data. (b) Construct a 95% confidence interval for ux- Hy, assuming that the distributions of X and Y are N(µx, o² x) and N(uy, o2 y ), respectively. (c) Construct box plots of the two sets of data on the same graph. (d) Do the means seem to be equal or different?

Let X and Y equal the hardness of the hot and cold water, respectively, in a campus building. Hardness is measured in terms of the calcium ion concentration (in ppm). The following data were collected (n = 12 observations of X and m = 10 observations of Y): %3D X: 133.5 137.2 136.3 133.3 137.5 135.4 138.4 137.1 136.5 139.4 137.9 136.8 y: 134.0 134.7 136.0 132.7 134.6 135.2 135.9 135.6 135.8 134.2 (a) Calculate the sample means and the sample variances of these data. (b) Construct a 95% confidence interval for ux- Hy, assuming that the distributions of X and Y are N(µx, o² x) and N(uy, o2 y ), respectively. (c) Construct box plots of the two sets of data on the same graph. (d) Do the means seem to be equal or different?

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

See similar textbooks

Similar questions

Plot a calibration graph from the following data and determine the concentration of the unknown. Concentration(µg 1-1) 10 20 30 40 50 Unknown Peak area" 2315 3800 5900 8680 11600 5570 Internal standard 6150 5900 5740 6150 6730 6050 peak area“ "In arbitrary units.
Can balloons hold more air or more water before bursting? A student purchased a large bag of 12-inch balloons. He randomly selected 10 balloons from the bag and then randomly assigned half of them to be filled with air until bursting and the other half to be filled with water until bursting. He used devices to measure the amount of air and water was dispensed until the balloons burst. Here are the data
How sensitive to changes in water temperature are coral reefs? To find out, scientists examined data on sea surface temperatures and coral growth per year at locations in the Gulf of Mexico and the Caribbean Sea. The table shows the data for the Gulf of Mexico. Sea surface temperature 26.726.7 26.626.6 26.626.6 26.526.5 26.326.3 26.126.1 Growth 0.850.85 0.850.85 0.790.79 0.860.86 0.890.89 0.920.92 Click to download the data in your preferred format. CSV Excel JMP Mac-Text Minitab14-18 Minitab18+ PC-Text R SPSS TI CrunchIt! © Macmillan Learning (a) Make a scatterplot. Which is the explanatory variable? The plot shows a negative linear pattern. Explanatory Variable: How sensitive to changes in water temperature are coral reefs? To find out, scientists examined data on sea surface temperatures and coral growth per year at locations in the Gulf of Mexico and the Caribbean Sea. The table shows the data…
Q1) The relative density p of air was measured at various altitudes h. The results were below: h (km) 0.5 1.12 2.36 3.32 4.55 6.87 1 0.69 0.51 0.39 0.23 0.1 The p(h) = aebh to fit this data is: (Take 2 decimal places of accuracy) %3D
Below are the discharge values at a watershed outlet. If direct runoff starts at time = 3 hr and the straight line method is used to separate base flow, then the volume of direct runoff during the first 6 hours in cubic meters is: Time (hr) Discharge (m/s) 0. 7 4. 9. 11 6. 17 12 25 15 32 18 30 21 24 24 17 27 11 30 7. 33 4. 36 2. Select one: O a 37800 Ob. 97200 Oc.59400 O d. zero O e None of the above
Measurements of position
The annual flows, in cubic meters per second, at the Weldon River at Mill Grove, Missouri for the period 1930 to 1960 are averaged as follows: 3.06 1.52 16.00 2.78 1.15 13.39 2.74 6.16 1.21 5.90 4.06 2.66 11.29 8.46 7.04 12.51 10.91 16.09 3.46 4.28 6.92 11.35 6.95 3.23 18.70 3.75 1.25 2.063.83 18.02 14 .41Fit the lognormal distribution to this data. Comment on the goodness-of-fit to the lognormal distribution.