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1. The following data table is obtained by a fourth grader on his science project, "Exploding Foam." He poured 1/2 tea-spoon of baking soda and 1/8 tea-spoon of laundry detergent into 1/4 cup (50ml) of vinegar of various temperature, and measured the volume of the foam. Num. Temp. 45.5 F 250ml Vol. Num. Temp. Vol. Num. Temp. Vol. 43.0°F 300ml 71.9°F 400ml 48.5°F 250ml 12 96.6°F 550ml 15 104.6 F 550ml 18 94.4°F 550ml 1 41.4°F 175ml 3 5 52.0°F 300ml 8 52.4°F 300ml 4 44.6°F 350ml 6 44.1°F 500ml 10 57.9 F 300ml 13 123.6 F 600ml 16 89.3°F 500ml 19 94.3°F 550ml Mean 11 75.1°F 450ml 14 120.1°F 600ml 17 101.1°F 400ml SD (a) Find the mean and the standard deviation for the temperature. (b) Find the five number summary of the temperature, and produce the box-whiskers chart. (c) Produce a frequeney table and the corresponding histogram for the temperature. You are free to select your own class intervals. In the end, however, your table and histogram must portray the data set with a reasonable accuracy. 2. Repeat the problems 1(a) - 1(c), this time, with the volume of the foam.

1. The following data table is obtained by a fourth grader on his science project, "Exploding Foam." He poured 1/2 tea-spoon of baking soda and 1/8 tea-spoon of laundry detergent into 1/4 cup (50ml) of vinegar of various temperature, and measured the volume of the foam. Num. Temp. 45.5 F 250ml Vol. Num. Temp. Vol. Num. Temp. Vol. 43.0°F 300ml 71.9°F 400ml 48.5°F 250ml 12 96.6°F 550ml 15 104.6 F 550ml 18 94.4°F 550ml 1 41.4°F 175ml 3 5 52.0°F 300ml 8 52.4°F 300ml 4 44.6°F 350ml 6 44.1°F 500ml 10 57.9 F 300ml 13 123.6 F 600ml 16 89.3°F 500ml 19 94.3°F 550ml Mean 11 75.1°F 450ml 14 120.1°F 600ml 17 101.1°F 400ml SD (a) Find the mean and the standard deviation for the temperature. (b) Find the five number summary of the temperature, and produce the box-whiskers chart. (c) Produce a frequeney table and the corresponding histogram for the temperature. You are free to select your own class intervals. In the end, however, your table and histogram must portray the data set with a reasonable accuracy. 2. Repeat the problems 1(a) - 1(c), this time, with the volume of the foam.

A First Course in Probability (10th Edition)
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...
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Can you answer question 2 only using question 1? Thank you. 

Math 1680 Elementary Probability and Statistics Exercise Set 2 Name: 1. The following data table is obtained by a fourth grader on his science project, "Exploding Foam." He poured 1/2 tea-spoon of baking soda and 1/8 tea-spoon of laundry detergent into 1/4 cup (50ml) of vinegar of various temperature, and measured the volume of the foam. Num. Temp. 1 45.5°F 250ml 4 44.6°F 350ml 44.1°F 500ml Vol. Num. Temp. 43.0°F 300ml 71.9°F 400ml Vol. Num. Temp. Vol. 41.4°F 175ml 3 52.0°F 300ml 6 52.4°F 300ml 75.1°F 450ml 14 120.1°F 600ml 17 101.1°F 400ml 48.5°F 250ml 96.6°F 550ml 15 104.6°F 550ml 94.4°F 550ml 7 8 57.9°F 300ml 13 123.6°F 600ml 89.3°F 500ml 19 94.3°F 550ml Mean 10 11 12 16 18 SD (a) Find the mean and the standard deviation for the temperature. (b) Find the five number summary of the temperature, and produce the box-whiskers chart. (c) Produce a frequency table and the corresponding histogram for the temperature. You are free to select your own class intervals. In the end, however, your table and histogram must portray the data set with a reasonable accuracy. 2. Repeat the problems 1(a) - 1(c), this time, with the volume of the foam.
Transcribed Image Text:Math 1680 Elementary Probability and Statistics Exercise Set 2 Name: 1. The following data table is obtained by a fourth grader on his science project, "Exploding Foam." He poured 1/2 tea-spoon of baking soda and 1/8 tea-spoon of laundry detergent into 1/4 cup (50ml) of vinegar of various temperature, and measured the volume of the foam. Num. Temp. 1 45.5°F 250ml 4 44.6°F 350ml 44.1°F 500ml Vol. Num. Temp. 43.0°F 300ml 71.9°F 400ml Vol. Num. Temp. Vol. 41.4°F 175ml 3 52.0°F 300ml 6 52.4°F 300ml 75.1°F 450ml 14 120.1°F 600ml 17 101.1°F 400ml 48.5°F 250ml 96.6°F 550ml 15 104.6°F 550ml 94.4°F 550ml 7 8 57.9°F 300ml 13 123.6°F 600ml 89.3°F 500ml 19 94.3°F 550ml Mean 10 11 12 16 18 SD (a) Find the mean and the standard deviation for the temperature. (b) Find the five number summary of the temperature, and produce the box-whiskers chart. (c) Produce a frequency table and the corresponding histogram for the temperature. You are free to select your own class intervals. In the end, however, your table and histogram must portray the data set with a reasonable accuracy. 2. Repeat the problems 1(a) - 1(c), this time, with the volume of the foam.
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