Question

Write the null hypotheses being tested Run the analysis either by using data analysis and the...

  1. Write the null hypotheses being tested
  2. Run the analysis either by using data analysis and the two-sample test or by comparing the two confidence intervals
  3. Interpret your data to determine if the resting male heart rate is the same as the resting female heart rate. Remember we are looking for whether the difference is a significant one, not just whether they are not the same.
    0 60.1 78.0
    0 67.7 79.4
    0 80.3 93.4
    0 85.2 97.7
    0 86.3 99.7
    0 76.6 83.7
    0 94.4 101.9
    0 86.4 100.6
    0 83.4 97.4
    0 89.8 97.4
    0 88.7 97.1
    0 78.4 87.2
    0 71.3 79.9
    0 92.6 104.7
    0 86.2 95.9
    0 83.9 93.9
    0 78.1 87.2
    0 64.0 70.7
    0 72.8 86.7
    0 72.7 81.2
    0 80.2 83.3
    0 78.2 86.0
    0 62.0 88.0
    0 75.5 84.4
    0 82.7 89.1
    0 87.7 95.1
    0 76.0 88.7
    0 73.4 82.7
    0 89.5 94.6
    0 77.6 84.6
    0 76.6 86.4
    0 85.6 96.2
    0 74.2 82.1
    0 79.0 91.6
    0 74.6 86.7
    0 88.8 98.8
    0 82.1 85.6
    0 77.6 80.6
    0 77.9 83.8
    0 72.0 93.9
    0 81.6 90.3
    0 91.2 100.6
    0 80.3 88.0
    0 76.7 91.8
    0 88.4 103.0
    0 75.2 86.5
    0 75.2 84.9
    0 73.1 71.9
    0 77.0 84.7
    0 59.0 68.2
    0 84.9 96.0
    0 87.5 105.9
    0 75.6 84.3
    0 84.0 90.4
    0 78.2 94.0
    0 86.6 90.6
    0 84.9 95.1
    0 78.8 90.4
    0 69.4 82.6
    0 78.3 91.1
    0 76.9 92.3
    0 84.2 87.9
    0 76.3 85.9
    0 86.3 99.7
    0 72.3 80.9
    0 81.8 93.8
    0 92.8 99.8
    0 74.8 90.2
    0 91.7 99.2
    0 71.0 87.0
    0 96.1 100.2
    0 82.5 95.1
    0 81.9 97.5
    0 89.7 94.8
    0 81.4 100.9
    0 74.8 94.0
    0 88.1 102.1
    0 69.2 81.4
    0 78.8 90.9
    0 85.3 94.2
    0 74.8 81.3
    0 77.7 89.9
    0 78.0 89.8
    0 80.5 95.3
    0 75.4 84.8
    0 81.5 84.2
    0 73.9 85.2
    0 69.4 74.1
    0 89.4 96.7
    0 70.9 82.0
    0 82.9 90.2
    0 89.6 106.7
    0 74.5 75.6
    0 92.3 102.2
    0 87.7 98.0
    0 78.9 89.7
    0 79.8 81.5
    0 85.5 97.4
    0 87.3 94.1
    0 77.8 97.8
    0 71.0 80.1
    0 82.5 90.7
    0 74.8 83.7
    0 69.2 79.4
    0 80.5 87.4
    0 89.4 99.2
    0 74.5 88.0
    0 85.5 92.0
    1 66.6 88.2
    1 79.2 90.4
    1 80.5 101.3
    1 75.4 93.1
    1 83.7 90.5
    1 73.9 89.1
    1 76.0 90.8
    1 85.2 93.5
    1 82.1 93.5
    1 76.3 87.0
    1 97.0 104.5
    1 81.5 86.5
    1 65.3 86.3
    1 60.8 86.7
    1 78.5 89.9
    1 60.4 97.6
    1 89.8 92.9
    1 87.8 98.5
    1 76.2 89.9
    1 74.2 88.8
    1 67.4 78.8
    1 75.5 80.2
    1 80.0 90.2
    1 76.4 88.0
    1 94.9 95.7
    1 89.2 96.9
    1 83.3 87.7
    1 85.8 90.4
    1 75.3 84.1
    1 77.9 99.0
    1 70.0 83.0
    1 88.0 94.2
    1 86.9 95.0
    1 87.1 95.9
    1 60.3 82.7
    1 81.2 90.7
    1 82.9 91.9
    1 87.4 103.6
    1 83.0 90.0
    1 76.8 83.3
    1 76.9 87.7
    1 79.8 88.2
    1 83.2 93.0
    1 79.5 88.6
    1 82.4 89.3
    1 80.8 84.2
    1 83.2 94.5
    1 71.6 81.5
    1 82.8 93.1
    1 76.8 92.8
    1 93.2 89.4
    1 91.4 100.9
    1 97.3 103.3
    1 88.3 90.1
    1 80.6 85.2
    1 87.4 91.7
    1 96.5 99.3
    1 77.9 91.6
    1 76.1 84.1
    1 85.2 89.7
    1 68.6 72.8
    1 79.4 91.0
    1 85.2 9.1
    1 74.3 85.6
    1 74.3 89.2
    1 78.5 98.5
    1 80.4 90.8
    1 82.9 85.9
    1 78.9 90.7
    1 78.6 87.0
    1 87.5 93.9
    1 78.9 91.4
    1 80.0 89.1
    1 80.4 89.2
    1 88.3 90.5
    1 80.6 95.9
    1 85.8 90.5
    1 84.6 93.0
    1 80.5 91.8
    1 92.4 101.2
    1 84.4 96.7
    1 82.3 86.9
    1 77.2 85.8
    1 83.3 82.1
    1 86.2 98.9
    1 81.3 97.7
    1 90.2 96.4
    1 78.4 85.5
    1 84.7 90.9
    1 89.7 94.3
    1 78.4 88.0
    1 79.9 88.5

Homework Answers

Answer #1

>> As there are huge data, the same is done is excel

>> Performing two sample t test

u1 and u2 are the two sample population mean for male and female

H: u1-u2 =0

Ha: u1-u2 not =0

Results

t-Test: Two-Sample Assuming Equal Variances
Variable 1 Variable 2
Mean 80.829 90.0415
Variance 56.35373 81.45872
Observations 200 200
Pooled Variance 68.90622
Hypothesized Mean Difference 0
df 398
t Stat -11.0981
P(T<=t) two-tail 4.07E-25
t Critical two-tail 1.965942

As pvalue = 4.07x10^-25

which is very less than 0.05

so we reject the null hypothesis

Hence, The average heart rate of male and female are not similar

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