Question

In: Statistics and Probability

January 15, 2017 January 16, 2017 January 17, 2017 January 18, 2017 January 19, 2017 January...

January 15, 2017 January 16, 2017 January 17, 2017 January 18, 2017 January 19, 2017 January 20, 2017 January 21, 2017
Person 1 32 56 92 76 72 32 72
Person 2 40 0 20 4 20 0 0
Person 3 30 5 10 15 15 20 25
Person 4 47 35 71 13 17 29 42
Person 5 10 15 15 15 15 15 25
Person 6 0 0 0 10 5 5 0
Person 7 0 12 2 1 0 1 0
Person 8 33 35 52 78 92 36 30
Person 9 10 15 10 19 14 20 25
Person 10 30 159 28 146 28 43 38
Person 11 3 22 15 15 18 9 6
Person 12 0 0 20 20 40 30 40
Person 13 200 34 20 32 14 32 33
Person 14 7.5 40 37 30 25 50 0
Person 15 23 25 13 27 38 48 33
Person 16 30 0 20 67 21 76 62
Person 17 40 23 41 72 130 82 46
Person 18 27 66 155 161 189 213 240
Person 19 22 25 20 21 30 32 21
Person 20 8.4 48 8.4 9.6 8.4 10 8.4
Person 21 0 0 8.8 32 46 28 38
Person 22 15 0 30 30 30 45 25
Person 23 41 45 72 52 78 112 10
Person 24 0 77 42 37 37 70 40
Person 25 0 28 28 28 28 0 0
Person 26 84 69 47 65 62 38 41
Person 27 85 123 218 224 218 124 102
Person 28 0 83 48 40 48 65 8
Person 29 36 57 69 69 37 43.5 45
Person 30 100 50 50 10 60 55 15
Person 31 242 12 12 14 18 156 124
Person 32 33 70 30 20 65 68 72
Person 33 216 26 60 46 67 210 12
Person 34 38 65 57 42 55 40 38
Person 35 74 66 210 75 56 70 64
Person 36 0 9 14 14 5 5 5
Person 37 13 10 10 57 33 17 61
Person 38 25 38 36 60 50 28 14
Person 39 6 33 35 45 33 38 31
Person 40 2 6 6 8 45 8 65
Person 41 21 19 33 26 21 32 20
Person 42 123 164 62 64 78 71 93

Using the miles driven data, test the following claims:

  1. 50% of drivers travel less than 40 miles per day.
  2. One-third of drivers never travel more than 50 miles per day.
  3. 50% of drivers travel less than 350 miles per week.    
  4. One-third of drivers never travel more than 400 miles per week.  

Solutions

Expert Solution

Using the miles driven data, test the following claims:

Put the data in excel and calcuate the following as shown in the screenshot. The inital screen shot is the overview of the entire sheet. Follow by that are parts of each to show you the formula to be use.


50% of drivers travel less than 40 miles per day.

In the data we find that 23 out of 42 person drive less than 40 miles per day.

From the hypothesis testing, we reject the claim that 50% of drivers travel less than 40 miles per day.

One-third of drivers never travel more than 50 miles per day.
In the data we find that 27 out of 42 person drive less than 50 miles per day.

From the hypothesis testing, we reject the claim that one-third of drivers never travel more than 50 miles per day.


50% of drivers travel less than 350 miles per week.
In the data we find that 27 out of 42 person drive less than 350 miles per day.

From the hypothesis testing, we fail reject the claim that 50% of drivers travel less than 350 miles per week

One-third of drivers never travel more than 400 miles per week.
In the data we find that 33 out of 42 person drive less than 400 miles per day.
We reject this claim.


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