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Owner: jev2014
Created: Feb 11, 2018
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MTH 245 Stats Lab 4 - J. Vandeloecht
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1. I do not believe it is reasonable to expect 100 boys in 152 births. When there are (2) possibilities I would expect the more reasonable expectations to be around 70-80 boys in 152 births which would equate to roughly a .50 probability of the birth being a boy. According to the simulation of 152 births as shown on the frequency table attached there were 73 girls and 79 boys born out of 152 births supporting the reasonable expectation of approx. 75 boys born in 150 births. 

I believe it is reasonable to expect 100 boys born out of 152 babies in the simulation where it is ran 10,000 times. Although I believe the majority of simulations will find the births of boys to be in the range of 70-80 out of 152 again but I believe it is reasonable to an occurrence of there being 100 boys a few times in 10,000 simulations. 

It appears that according to the frequency distribution table and histogram for 10,000 simulations there was not 1 occurrence where there were 100 boys born out of 152 births. 

 

2.  The percentage of makes v. misses as shown below in frequency distribution table 3 is roughly 0.528 in each occurrence except for test 3 in which we had some variation and the result was .595 success rate of made free-throws. The longest streak of made free-throws was in test 1 in which there were 10 free throws made consecutively. The longest streak of missed free-throws was in test in which there were 7 free throws missed consecutively. 

 

3. When running the simulation with a size of 10 the brand recognition of McDonalds was 1 and when the simulation size was 75 the brand recognition was .97. 

 

4. There are 2 students who share the birthdate of Nov. 22 in the collection of data for student’s birthdays. Based on the simulation I do not find it surprising that there was a shared birthday. As shown on the table for birthdays there were 6,532 shared birthdays on 10,000 simulations which reflects a .6532 probability of a shared birthday in a class size of 28.

Result 1: MTH 245 Stats Lab 4 - Frequency Table - J. Vandeloecht   [Info]
Frequency table results for B/G1:
Count = 152
B/G1FrequencyRelative Frequency
0730.48026316
1790.51973684

Result 2: MTH 245 Stats Lab 4 - Frequency Table 2 - J. Vandeloecht   [Info]
Frequency table results for Bin(#Boys (152 Births)):
Count = 10000
Bin(#Boys (152 Births))FrequencyRelative Frequency
49.5 to 59.5420.0042
59.5 to 69.514140.1414
69.5 to 79.555980.5598
79.5 to 89.528180.2818
89.5 to 99.51280.0128

Result 3: MTH 245 Stats Lab 4 - Histogram 2 - J.Vandeloecht   [Info]
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Result 4: MTH 245 Stats Lab 4 - Frequency Table 3 - J. Vandeloecht   [Info]
Frequency table results for Test 1:
Count = 200
Test 1Frequency
096
1104

Frequency table results for Test 2:
Count = 200
Test 2Frequency
098
1102

Frequency table results for Test 3:
Count = 200
Test 3Frequency
081
1119

Frequency table results for Test 4:
Count = 200
Test 4Frequency
092
1108

Frequency table results for Test 5:
Count = 200
Test 5Frequency
095
1105

Result 5: MTH 245 Stats Lab 4 - Frequency Table 4 - J. Vandeloecht   [Info]
Frequency table results for Test 1:
Count = 10
Test 1Frequency
110

Frequency table results for Test 2:
Count = 75
Test 2Frequency
02
173

Result 6: MTH 245 Stats Lab 4 - Birthday problem - J. Vandeloecht   [Info]
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Data set 1. MTH 245 Stats Lab 4 - Data Set 1 - J. Vandeloecht   [Info]
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Data set 2. MTH 245 Stats Lab 4 - Data Set 2 - J. Vandeloecht   [Info]
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Data set 3. MTH 245 Stats Lab 4 - Data Set 3 - J. Vandeloecht   [Info]
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By remetzger
Feb 12, 2018

Nicely done, Jed! Simulations are a GREAT way to get answers to difficult questions.

Always Learning