2-2 example7 - Student Grady Sinlonton Colu'se Mathll9...

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Unformatted text preview: Student: Grady Sinlonton Colu'se: Mathll9: Elementary Statistics - Spring 3010 - CRN: 49339 Instructor: Shawn Pan-'ini - 16 weeks Date: 31810 Book: T1'iola: Elementary Statistics. 11e Time: 11:01 AM Refer to the accompanying data set and use the 25 home voltage measurements to construct a frequency distribution with five classes. Begin with a lower class limit of 131.3 volts, and use a class width of0.20 volt. Does the result appear to have a normal distribution? Why or why not? @ Click the icon to view the data. To construct a frequency distribution. first find the lower class limits. To find the lower class limits, add the class width to the preceding lower class limit, starting with the given first lower class limit. The first lower class limit is 131.3, and the class width is 0.2. Determine the second lower class limit. 131.3 +0.2= 131.5 Add 0.2 to the second lower class limit to determine the third lower class limit. 131.5 +0.2= 131.7 The five lower class limits are shown below. 131.3- 131.5- 131.?- 131.9- 132.1- To find the upper class limits, use the lower class limits to determine the largest numbers that can belong to the different classes. Be sure the classes do not overlap. The first upper class limit is the largest number that does not belong to the second class, which has a lower limit of 131.5. To determine the largest number that does not belong to the second class, subtract 0.] from the second lower class limit. 131.5-0.1=l31.4 The five classes are shown below. 1313-1314 l31.5-131.6 BITE-131.8 1319-1321) 132.1-132.2 To find the frequencies, take each individual data value and put a tally mark in the appropriate class, then add the tally marks to find the total frequency for each class. Complete the frequency distribution by tallying the frequencies for each class. The completed frequency distribution is shown below. Page 1 Student: Grady Silnonton Instructor: Shawn Pan-ini Date: 3.-"'18..-"'10 Voltage (volts) 131.3- 131.4 131.5- 131.6 131.7- 131.8 131.9- 132.0 132.1- 132.2 Frequency 3 5 10 4 3 Course: Mathll9: Elelnentaiy Statistics - Spring 2010 - C‘RN: 49239 - 16 weeks Book: Triola: Elelnentaiy Statistics. Me Time: 11:01 AM Data that have an approximately normal distribution are characterized by a frequency distribution that starts low, increases to one or two high frequencies, then decreases to a low frequency. Also, the frequencies are relatively symmetric about the maximum frequency. Notice that the frequencies start at 3, then increase to 10, then decrease to 3. The class 131.7 - 131.8 has the highest frequency and the distribution is approximately symmetric about this maximum. Use this information to determine if the frequency distribution appears to have a normal distribution. More Info Voltage Measurements From a Home 1 filial.thme Home Home Home Home Day (volts) Day (volts) Day (volts) Day (volts) 131.9 8 131.8 15 131.9 22 131.6 131.8 9 131.9 16 131.8 23 131.5 131.4 10 131.? 1'? 131.8 24 131.? 132.1 11 131.4 18 131.5 25 131.5 132.1 12 131.?r 19 132.1 131.9 13 131.6 20 131.8 131.8 14 131.4 21 131.8 Page 2 ...
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This note was uploaded on 05/21/2010 for the course MATH 49239 taught by Professor Parvini during the Spring '10 term at Mesa CC.

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2-2 example7 - Student Grady Sinlonton Colu'se Mathll9...

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