Pair T-Test you want to compare whether two groups of students have higher heart

Question

Pair T-Test

you want to compare whether two groups of students have higher heart rates when they are standing vs. sitting.

You test Biology students and chemistry students. First you measure heart rate on a student while sitting, then you measure heart rate after they stand for one minute. The data is below. First conduct paired t-test for each group. Biology and chemistry. Assess this Null Hypothesis: The heart rate does not differ between sitting and standing. (accept or reject)

Then, assess whether there is a difference between chemistyr and biology students. Take the difference between sitting and standing and conduct a t-test. Will you reject or accept the null hypothesis that there is no difference in the heart rate change.

Biology Students chemistry Students sitting Standing sitting Standing 74 69 57 79 71 83 74 74 57 81 61 63 67 62 73 84 73 68 69 86 64 63 73 86 77 65 67 78 76 73 60 72 58 74 72 63 77 70 77 81 63 84 67 62 68 79 68 69 57 70 74 64 62 82 58 78 76 80 75 74 57 83 70 62 59 65 67 84 69 86 60 79 60 68 64 78 66 78 77 79 61 80 69 68 60 73 61 85 77 64 75 76 61 83 72 69 73 68 67 82

Explanation / Answer

I will use MS Excel to perform the two t-tests.

Test 1

Null Hypothesis : The heart rate does not differ between standing and sitting.

Since the P-value is zero here , we reject the null hypothesis.

Test 2

Null Hypothesis : there is no difference between chemistry and biology students.

Since the P-value is very high here we fail to reject the null hypothesis.

Please find the original file on which work is done on the link given below.

https://www.dropbox.com/s/1je92xoiwqop9u6/Pair%20T-test.xlsx?dl=0

t-Test: Paired Two Sample for Means sitting Standing Mean 67.4 74.5 Variance 44.7 60.5 Observations 50.0 50 Pearson Correlation -0.2 Hypothesized Mean Difference 0.0 df 49.0 t Stat -4.56 P(T<=t) one-tail 0.00 t Critical one-tail 1.68 P(T<=t) two-tail 0.00 t Critical two-tail 2.01

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