Data for 15.93 Num. Frequency 1 5 2 6 3 7 4 5 5 3 6 5 7 12 8 8 9 8 10 5 11 6 12
ID: 3074256 • Letter: D
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Data for 15.93 Num. Frequency 1 5 2 6 3 7 4 5 5 3 6 5 7 12 8 8 9 8 10 5 11 6 12 7 13 9 14 3 15 5 16 4 17 9 18 7 19 5 20 10 21 6 22 5 23 2 24 8 25 5 26 8 27 5 28 6 29 8 30 6 31 6 32 4 33 6 34 5 35 8 36 12 37 5 38 8 39 4 40 6 41 9 42 9 43 8 44 5 45 5 46 2 47 6 48 10 49 6 Num. Frequency 1 5 2 6 3 7 4 5 5 3 6 5 7 12 8 8 9 8 10 5 11 6 12 7 13 9 14 3 15 5 16 4 17 9 18 7 19 5 20 10 21 6 22 5 23 2 24 8 25 5 26 8 27 5 28 6 29 8 30 6 31 6 32 4 33 6 34 5 35 8 36 12 37 5 38 8 39 4 40 6 41 9 42 9 43 8 44 5 45 5 46 2 47 6 48 10 49 6
15.91 15.91 More than 3,000 Americans quit smok ing each day. Because nicotine is one of the most ddictive drugs, quitting smoking is a difficult and frustrating task. It usually takes several tries before success is achieved. There are various methods including cold turkey, nicotine patch, hypnosis, and group therapy sessions. In an experiment to deter- mine how these methods differ, a random sample of mokers who have decided to quit is selected. Each smoker has chosen one of the methods listed above. After one year, the respondents report whether they have quit (1 Yes, 2 No) and which method they used (1# Cold turkey, 2-Nicotine patch, 3 - Hypnosis,4 Group therapy sessions). Is there sufficient evidence to conclude that the four meth ods differ in their success? Thursday Friday 68 nel department in investigation by cat- to the shift on which accompanying table. the 10% significance n the days on which e shift on which the day Thursday Friday 31 37 yst has been studying e/female supervisorv d the level of employ alts of a recent survey ng table. Is there suf the level of job sat oss/employee gender 15.92 Xr15.92 A newspaper publisher trying to pin- point his market's characteristics wondered whether the way people read a newspaper is related to the reader's educational level. A sur- vey asked adult readers which section of the paper they read first and asked to report their highest educational level. These data were recorded (column 1 First section read where Front page, 2 Sports, 3-Editorial, and 4Other) and column 2 Educational level MPLOYEE where l Did not complete high school, 2 High sch0ol graduate, 3 # University or college graduate, and 4-Postgraduate degree). What do these data tell the publisher about how edu- cational level affects the way adults read the Male/ Male Male Female 54 50 71 38 newspaper? 15.93 X15.91 Every week, the Florida Lottery draws six numbers between 1 and 49. Lottery ticket buyers are naturally interested in whether certain numbers are drawn more frequently than others. To assist players, the Sun-Sentinel publishes the number of times each of the 49 numbers has been drawn in the past 52 weeks. The numbers and the frequency with se of a computer ulated manually. See Use a 5% significance medical that ent billions of dollars portant to determine es. It would be help- problem which each occurred were recorded a. If the numbers are drawn from a uniform distri- bution, what is the expected frequency for each uses are universal or country. In a survey s were asked to report number
Explanation / Answer
15.93:
(a)
There are 49 numbers that are uniformly distributed. The probability of getting each number is 1/49.
Total number of observed frequencies: 312
The expected frequency for each number is:
E = 312 /49 = 6.3673
(b)
Here we need use chi square goodness of fit test: Following is the output of chi square test statistics:
The p-value is: 0.8427
Since p-value is large so we infer that data is generated from uniform distribution.
Goodness of Fit Test observed expected O - E (O - E)² / E % of chisq 5 6.367 -1.367 0.294 0.77 6 6.367 -0.367 0.021 0.06 7 6.367 0.633 0.063 0.16 5 6.367 -1.367 0.294 0.77 3 6.367 -3.367 1.781 4.66 5 6.367 -1.367 0.294 0.77 12 6.367 5.633 4.983 13.04 8 6.367 1.633 0.419 1.10 8 6.367 1.633 0.419 1.10 5 6.367 -1.367 0.294 0.77 6 6.367 -0.367 0.021 0.06 7 6.367 0.633 0.063 0.16 9 6.367 2.633 1.089 2.85 3 6.367 -3.367 1.781 4.66 5 6.367 -1.367 0.294 0.77 4 6.367 -2.367 0.880 2.30 9 6.367 2.633 1.089 2.85 7 6.367 0.633 0.063 0.16 5 6.367 -1.367 0.294 0.77 10 6.367 3.633 2.073 5.42 6 6.367 -0.367 0.021 0.06 5 6.367 -1.367 0.294 0.77 2 6.367 -4.367 2.996 7.84 8 6.367 1.633 0.419 1.10 5 6.367 -1.367 0.294 0.77 8 6.367 1.633 0.419 1.10 5 6.367 -1.367 0.294 0.77 6 6.367 -0.367 0.021 0.06 8 6.367 1.633 0.419 1.10 6 6.367 -0.367 0.021 0.06 6 6.367 -0.367 0.021 0.06 4 6.367 -2.367 0.880 2.30 6 6.367 -0.367 0.021 0.06 5 6.367 -1.367 0.294 0.77 8 6.367 1.633 0.419 1.10 12 6.367 5.633 4.983 13.04 5 6.367 -1.367 0.294 0.77 8 6.367 1.633 0.419 1.10 4 6.367 -2.367 0.880 2.30 6 6.367 -0.367 0.021 0.06 9 6.367 2.633 1.089 2.85 9 6.367 2.633 1.089 2.85 8 6.367 1.633 0.419 1.10 5 6.367 -1.367 0.294 0.77 5 6.367 -1.367 0.294 0.77 2 6.367 -4.367 2.996 7.84 6 6.367 -0.367 0.021 0.06 10 6.367 3.633 2.073 5.42 6 6.367 -0.367 0.021 0.06 312 311.998 0.002 38.225 100.00 38.22 chi-square 48 df .8427 p-valueRelated Questions
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